Title of Invention

METHOD AND DEVICE FOR MEASURING DOUBLE REFRACTION OF OPTICAL FIBER, METHOD OF MEASURING POLARIZATION MODE DISPERSION OF OPTICAL FIBER AND OPTICAL FIBER

Abstract It is an object of the invention to measure the birefringence and PMD of a short optical fiber (2) in the free state with accuracy. This method comprises the steps of generating pulse light from a pulse light generating means (12); converting polarized state of the pulse light by a polarization conversion means (13); inputting the converted pulse light to one end of the optical fiber (2); and detects the polarization state of backscattered light returning to the one end; acquiring the round-trip Jones matrix R(z) for a first interval (0,z); acquiring the round-trip Jones matrix R(z+Δz) for a second interval (0,z+Δz); determining the eigenvalues p1, p2 of the matrix R(z+Δz)R(z)-1; and obtaining the birefringence in the infinitesimal interval Δz by computing the following equations (1) and (2). φ represents the phase difference between linear polarization components due to birefringence, Δn represents birefringence, and λ represents wavelength.
Full Text

BACKGROUND OF THE INVENTION
1. Field of the Invention
This invention relates to a method of measurement of birefringence of an optical
fiber and a measurement device, and to an optical fiber polarization mode dispersion
measurement method and an optical fiber, and relates to techniques for the precise and
simple measurement of the birefringence and polarization mode dispersion of an optical
fiber along the length direction.
This application relates to and claims priority from Japanese Patent Application No.
2005-117030, filed on April 14, 2005, and from Japanese Patent Application No. 2005-
229263, filed on August 8, 2005, the entire disclosures of which are incorporated herein by
reference. •
2. Description of the Related Art
In recent years, the faster transmission rates and longer transmission distances of
optical communications have been accompanied by a need to reduce polarization mode
dispersion (hereafter "PMD") along transmission paths. PMD is dispersion which occurs
due to group velocity differences among two eigenpolarization components which are
orthogonal, propagating in an optical fiber (see Patent References 1 and 2 and Non-patent
References 1 to 5).
There are two parameters determining the PMD. One is the magnitude of
birefringence in the optical fiber; the other is the magnitude of the polarization mode
coupling, which indicates changes in the optical fiber length direction of the birefringent
axis in the optical fiber.

Specific factors determining PMD in an optical cable transmission path include
ellipticity of the fiber core, asymmetry or the like of stresses occurring in the core, and other
factors arising within the optical fiber, as well as asymmetry of stresses due to optical fiber
bending in optical cable manufacturing processes and other factors arising from processes to
produce optical cable. Hence in order to prevent worsening of PMD in optical cables due to
factors within optical fibers, it is desirable that PMD arising from factors within the optical
fiber be measured before processes to manufacture optical cable, and that optical fibers with
poor PMD characteristics be excluded.
Optical fiber is normally wound on a bobbin for transport to the site of the process
for optical cable manufacture. But an optical fiber wound on a bobbin is subject to bending
and to birefringence caused by lateral pressure while wound on the bobbin; in addition,
optical fibers will come into contact with each other or will be subjected to considerable
torsion while being taken up on the bobbin, so that polarization mode coupling is induced.
Consequently the PMD of an optical fiber wound on a bobbin does not coincide with the
PMD arising from factors within the optical fiber.
Hence in order to measure PMD arising from factors within the optical fiber, a
method is employed in which the optical fiber is removed from the bobbin and is wound
with a diameter of from 20 cm to 100 cm, and by immersing the fiber in a liquid having a
specific gravity close to that of the optical fiber, birefringence arising from lateral pressure
and small-radius bending, as well as polarization mode coupling arising from contact
between optical fibers, are eliminated, and the PMD is measured. This PMD measurement
is for example described in Non-patent Reference 5.
As is stated in Non-patent Reference 4, PMD has statistical properties, and so
measurements are attended by uncertainty. In order to reduce this uncertainty, methods
may be used to increase the total PMD of the optical fiber for measurement, or expand the
wavelengths for measurement, or apply perturbations to the optical fiber being measured
and perform measurements a plurality of times.
Patent Reference 1: International Patent Publication No. WO 2004/010098
Patent Reference 2: International Patent Publication No. WO 2004/045113

Non-patent Reference 1: E. Chausse, N. Gisin, Ch. Zimmer, "POTDR,
depolarization and detection of sections with large PMD", OFMC '95.
Non-patent Reference 2: Tadao Tsuruta, Ouyou Kougaku 2, pp. 197-200,
BAIFUKAN CO., LTD.
Non-patent Reference 3: R.C. Jones, "A new calculus for the treatment of optical
systems VI. Experimental determination of the matrix", JOSA, Vol. 37, pp. 110-112, 1947.
Non-patent Reference 4: N. Gisin, "How accurately can one measure a statistical
quantity like polarization-mode dispersion", PTL, Vol. 8, No. 12, pp. 1671-1673, Dec. 1996.
Non-patent Reference 5: B.L. Heffner, "Automated measurement of polarization
mode dispersion using Jones matrix eigenanalysis", IEEE Photonics Tech. Lett. Vol. 4, No.
9, Sept. 1992.
However, there are the following problems with the PMD measurement methods of
the prior art.
In order to increase the total PMD of the optical fiber for measurement, the total
length of the optical fiber for measurement must be made long if the optical fiber for
measurement has a small PMD; but because an optical fiber used in PMD measurements in
the free state cannot again be used as a product, this method requires a long optical fiber
each time a measurement is performed, so that waste is substantial. Further, methods
entailing expansion of the wavelengths for measurement are subject to constraints imposed
by the operating wavelengths of the light source, and so there are limits to the use of such
methods. And, methods requiring a plurality of measurements require time to perform
measurements and are inefficient.
Next, another technology of the prior art, and problems with this technology, are
described. Because there are large fluctuations in PMD depending on the preform and
drawing conditions of the optical fiber, normally optical fibers manufactured under identical
conditions exhibit substantially the same PMD value, but due to unanticipated causes, there
are cases of partial worsening of the PMD, and so it is desirable that length-direction
measurements be performed.

Methods of the prior art for longitudinal measurement of the birefringence and PMD
include the methods described in Patent References 1 and 2. These methods involve
measurement of the birefringence and PMD based on the amount of scattering in the OTDR
waveform observed when a polarizer is placed between the OTDR and the optical fiber for
measurement. However, these measurement methods are accompanied by a number of
problems.
First, in methods of the prior art, the waveform amplitude differs depending on the
incident polarization state and on the birefringence axis angle of the optical fiber, and so
there is the problem that measurements cannot be performed accurately. For example,
when the incident polarization is linear polarization, the amplitude is maximum when the
angle between the direction of linear polarization and the birefringence axis is 45°, but
when the two directions coincide, the amplitude is zero. This problem has a serious impact
on the results of measurement of polarization mode dispersion using conventional methods.
Further, in methods of the prior art, scattering from the least-square approximating
line is used as an index of the scattering in the OTDR waveform; to this end, averaging
must be performed over a certain interval, and so it is inherently not possible to obtain a
high resolution.
Moreover, a feature of methods of the prior art is the simple configuration obtained
by using a general-purpose OTDR; but because the light source of a general-purpose OTDR
has a broad spectral width from 5 nm to 20 nm, once a point with large PMD is traversed, a
phenomenon occurs in which the polarization state of the pulse differs with the wavelength,
and so the amplitude is averaged and becomes smaller; hence there is the problem that
subsequent PMD measurements cannot be performed (see Non-patent Reference 1).
SUMMARY OF THE INVENTION
This invention was devised in light of the above circumstances, and has as an object
the provision of a method of measurement, with accuracy and in a short length of time, of
the birefringence and PMD of a short optical fiber having a comparatively small PMD in
the free state and a device therefore.

A further object of this invention is the provision of a method and device for the
accurate longitudinal measurement of birefringence and PMD of an optical fiber in the free
state with arbitrary resolution, and such that even when a point with large PMD exists
midway in the fiber, there is no influence on subsequent measurement results.
In order to attain the above objects, this invention provides a method of
measurement of the birefringence of an optical fiber, in which the round-trip Jones matrix
R(z) for a first interval (0, z) from a measurement starting point 0 in the optical fiber for
measurement to a prescribed position z, and the round-trip Jones matrix R(z+Δz) for a
second interval (0, z+Δz) from the measurement starting point 0 to a position z+Δz differing
from the position z, are acquired, the eigenvalues p1, p2 of the matrix R(z+Δz)R(z)-1 are
determined, and by computing the following equations (1) and (2),

(where ϕ represents the phase difference between linear polarization components
due to birefringence, An represents birefringence, and λ represents wavelength), the
birefringence in the infinitesimal interval Δz from the position z to the position z+Δz is
obtained.
In an optical fiber birefringence measurement method of this invention, it is
preferable that a polarization OTDR be used to acquire the round-trip Jones matrices of the
optical fiber for measurement.
Further, this invention provides an optical fiber birefringence measurement device,
having timing control means; pulse light generation means, controlled by the timing control
means; polarization conversion means which converts pulse light from the pulse light
generation means into a polarized state; optical recirculation means which inputs pulse light
from the polarization conversion means to one end of the optical fiber for measurement, and
which outputs backscattered light returning to one end of the optical fiber for measurement;

polarization detection means, controlled by the timing control means, which detects the
polarization state of light output from the optical recirculation means as a time series; and
analysis means, which, based on the output of the polarization detection means, uses the
birefringence measurement method to measure the birefringence of the optical fiber for
measurement.
Further, this invention provides an optical fiber polarization mode dispersion
measurement method, in which the birefringence of the optical fiber for measurement in the
free state, measured using the optical fiber birefringence method, and the relation to the
polarization mode dispersion of the optical fiber for measurement in the free state, are used
to measure the polarization mode dispersion of the optical fiber for measurement in the free
state.
Further, this invention provides an optical fiber polarization mode dispersion
measurement method, in which a portion of an optical fiber wound onto a bobbin is
removed, and after using the optical fiber polarization mode dispersion measurement
method to measure the polarization mode dispersion, the measured value of the polarization
mode dispersion is taken to be the polarization mode dispersion when the entire optical fiber
wound around the bobbin is placed into the free state.
Further, this invention provides an optical fiber polarization mode dispersion
measurement method, in which the birefringence of the optical fiber for measurement in the
free state, measured using the optical fiber birefringence measurement method, and the
relation to the polarization mode dispersion of the optical fiber for measurement in the free
state, are used to measure the polarization mode dispersion of the optical fiber for
measurement in the free state, while in the state of being wound around a bobbin.
Further, this invention provides an optical fiber polarization mode dispersion
measurement method, in which the birefringence of the optical fiber for measurement in the
state of being wound around a bobbin, measured using the optical fiber birefringence
measurement method, and the relation to the polarization mode dispersion of the optical
fiber for measurement in the free state, are used to measure the polarization mode

dispersion of the optical fiber for measurement in the free state, while in the state of being
wound around the bobbin.
In the polarization mode dispersion measurement method, the amount of twist
applied to the optical fiber for measurement in the state of being wound around the bobbin
may be 1 rad/m or less.
In the polarization mode dispersion measurement method, the birefringence may be
measured for a portion in which the effects of the tension of takeup on the bobbin and of
lateral pressure due to the taken-up optical fiber itself are small, and this birefringence of
the optical fiber for measurement may be used as a representative value, and used as the
polarization mode dispersion of the optical fiber when the entire optical fiber wound around
the bobbin is placed in the free state.
In the polarization mode dispersion measurement method, cushion material may be
positioned at a place at which the optical fiber for measurement is in contact with the
bobbin around which the optical fiber is wound, to reduce lateral pressure on the optical
fiber, and in addition the effect of polarization state fluctuations during measurements
arising from expansion and shrinkage of the bobbin due to temperature changes in the
measurement environment may be eliminated.
In the polarization mode dispersion measurement method, upon temporarily relaxed
the tension of the optical fiber, the birefringence of the optical fiber for measurement may
be measured while in the state of being wound around the bobbin, and the polarization
mode dispersion of the optical fiber in the free state may be measured.
Further, this invention provides an optical fiber the polarization mode dispersion of
which, as measured by the above optical fiber polarization mode dispersion measurement
method, is 0.1ps/km or less.
In this optical fiber, the amount of twist applied, in the state of being wound around
the bobbin, may be 1 rad/m or less.
In this optical fiber, the value of, or the upper limit of, the measured polarization
mode dispersion may be displayed.

According to this invention, the round-trip Jones matrix R(z) for a first interval (0,z)
from a measurement starting point 0 in the optical fiber for measurement to a prescribed
position z and the round-trip Jones matrix R(z+Δz) for a second interval (0, z+Δz) from the
measurement starting point 0 to a position z+Az differing from the position z in the optical
fiber for measurement are acquired, the eigenvalues p1, p2 of the matrix R(z+Δz)R(z)_1 are
determined, and the birefringence of the infinitesimal interval Δz is obtained by calculation,
and, the PMD of the optical fiber is obtained from the optical fiber birefringence thus
obtained, so that a method and device for the accurate measurement, in a short length of
time, of the birefringence and PMD of a short optical fiber, in the free state and having
comparatively small PMD, can be provided.
Further, this invention can provide a method and device to measure, accurately and
with arbitrary resolution, the length-direction birefringence and PMD of an optical fiber in
the free state, and moreover even when a point with large PMD exists midway in the fiber,
there is no influence on subsequent measurement results.
Further, by means of this invention the PMD of an optical fiber in the free state can
be estimated for the optical fiber in the state of being wound around a bobbin, or in a state
of being wound around a bobbin with the tension temporarily relaxed.
BRIEF DESCRIPTION OF ACCOMPANYING DRAWINGS
FIG. 1 is a summary diagram to explain the measurement interval in an optical fiber
birefringence measurement method of this invention;
FIG. 2 is a configuration diagram of an aspect of an optical fiber birefringence
measurement device of this invention;
FIG. 3 is a configuration diagram showing an example of pulse light generation
means of an optical fiber birefringence measurement device of this invention;
FIG. 4 is a configuration diagram showing another example of pulse light generation
means of an optical fiber birefringence measurement device of this invention;

FIG. 5 is a configuration diagram showing an example of polarization conversion
means of an optical fiber birefringence measurement device of this invention;
FIG. 6 is a configuration diagram showing another example of polarization
conversion means of an optical fiber birefringence measurement device of this invention;
FIG. 7 is a configuration diagram showing another example of polarization
conversion means of an optical fiber birefringence measurement device of this invention;
FIG. 8 is a configuration diagram showing another example of polarization
conversion means of an optical fiber birefringence measurement device of this invention;
FIG. 9 is a configuration diagram showing another aspect of an optical fiber
birefringence measurement device of this invention;
FIG. 10 shows an example of birefringence measured by a measurement method of
this invention, when twist in one direction is applied after optical fiber solidification;
FIG. 11 shows an example of actual birefringence and of birefringence measured by
a measurement method of this invention, when twist in one direction is applied before
optical fiber solidification;
FIG. 12 shows an example of actual birefringence and of birefringence measured by
a measurement method of this invention, when sinusoidal spin is applied before optical fiber
solidification;
FIG. 13 compares the birefringence measured by a method of this invention with the
measurement results for ten measurements of PMD by a conventional method;
FIG. 14 compared the measurement results for a single measurement of PMD by a
conventional method with the measurement results for ten measurements of PMD by the
conventional method;
FIG. 15 shows an example of longitudinal measurement of the birefringence of an
optical fiber wound around a bobbin;
FIG. 16 shows an example of longitudinal measurement of the birefringence of an
optical fiber wound around a bobbin;

FIG. 17 shows the relation between the longitudinal birefringence distribution,
measured with the optical fiber in the state of being wound around a bobbin, and the PMD
when the optical fiber is divided in two at the center and placed in the free state;
FIG. 18 shows the relation between the longitudinal birefringence distribution,
measured with the optical fiber wound around a bobbin configured for temporary relaxation
of tension, in a state of relaxed tension, and the PMD when the optical fiber is divided in
two at the center and placed in the free state;
FIG. 19 is a graph showing the result of comparison of the birefringence in the state
of being wound around a bobbin, and the PMD of the optical fiber placed in the free state;
FIG. 20 is a graph showing the result of comparison of the birefringence of an
optical fiber placed in the free state, and the PMD of the optical fiber placed in the free
state; and,
FIG. 21 is a graph showing the result of comparison of the birefringence in the state
of being wound around a bobbin, and the birefringence of the optical fiber placed in the free
state.
BEST MODE FOR CARRYING OUT THE INVENTION
Below, preferred embodiments of the invention are explained, referring to the
drawings. However, the invention is not limited to the following embodiments, and for
example constituent elements of these embodiments may be appropriately combined.
First, a method of measurement of birefringence of an optical fiber according to this
invention is explained.
FIG. 1 is a summary diagram to explain the measurement interval in an optical fiber
birefringence measurement method of this invention. In the birefringence measurement
method of the invention, a first interval (0, z) is set from a measurement starting point 0 to a
prescribed position z in the optical fiber for measurement, and a second interval (0, z+Δz)
from the measurement starting point 0 to a position z+Az different from the position z is set;

the interval from the position z to the position z+Δz (the interval which is the difference
between the first interval and the second interval) is the infinitesimal interval Az.
Further, if the one-way Jones matrix for the first interval (0, z) is J1, the one-way
Jones matrix for the infinitesimal interval Δz is J2, and the round-trip Jones matrix for the
first interval (0, z) is R (z), then the relation of the following equation (3) obtains.

Here, upon considering the matrix R(z+Δz)R(z)"', the following equation (4) is
obtained.

In optical fiber in the free state and in optical fiber within optical cable, changes in
the birefringence axis of the optical fiber and torsion applied to the optical fiber are gradual,
and so the infinitesimal interval Δz can be regarded as having only a linear birefringence,
and the birefringence axis angle can also be regarded as constant. Then the one-way Jones
matrix J2 for the infinitesimal intervalh Δz is given by the following equation (5), where the
angle of the fast axis of birefringence is 0 and the phase difference between orthogonal
polarization due to birefringence is
(In equation (5), P2 is a matrix the components of which are eigenvectors of the
matrix J2, and Q2 is a diagonal matrix the diagonal components of which are eigenvalues of
the matrix J2.) Hence the following equation (6) obtains.

In this case, the following equation (7) results.


On the other hand, upon diagonalization, R(z+Δz)R(z)-1 can be expressed as in
equation (8).

Therefore the following equation (9) obtains.

Hence it is seen that the diagonal matrix Q' obtained by diagonalizing the matrix
R(z+Δz)R(z)-1 is the square of the diagonal matrix Q2 obtained by diagonalizing the Jones
matrix J2 for the infinitesimal interval (z, z+Δz). That is, the following equation (10)
obtains.

The diagonal elements of Q' are eigenvalues of R (z+Δz) R (z)_1, so that if the two
eigenvalues p1, p2 of R(z+Δz)R(z)-1 are given by equation (11),

then the following equations (12) and (13)



can be used to obtain the measured birefringence of an arbitrary infinitesimal
interval Δz, that is, the longitudinal birefringence.
By performing averaging processing of birefringence values measured in this way
according to the required resolution, birefringence measurements with arbitrary resolution
can be performed.
In computations of birefringence according to a birefringence measurement method
of this invention, no constraints in particular are placed on the Jones matrix for the first
interval (0,z), and so regardless of the properties of the Jones matrix for the first interval
(0,z), there is no effect on measurements.
Next, an aspect of an optical fiber birefringence measurement device of this
invention is explained, referring to the drawings.
Fig. 2 is a configuration diagram of an aspect of an optical fiber birefringence
measurement device of this invention. The birefringence measurement device 1 of this
aspect comprises timing control means 11; pulse light generation means 12, controlled by
the timing control means 11; polarization conversion means 13, which converts the
polarization state of pulse light from the pulse light generation means 12; optical
recirculation means 14, which inputs pulse light from the polarization conversion means 13
to one end of the optical fiber for measurement, and which outputs backscattered light
returning to one end of the optical fiber for measurement; polarization detection means 15,
controlled by the timing control means 11, which detects the polarization state of light
output from the optical recirculation means 14 as a time series; and analysis means 16,
which, based on the output of the polarization detection means 15, uses the birefringence
measurement method described above to measure the birefringence of the optical fiber for
measurement 2.
In the birefringence measurement device 1 of this aspect, pulse light output from the
pulse light generation means 12 controlled by the timing control means 11 is input to the

polarization conversion means 13, and after conversion into three different polarization
states, is output.
Pulse light output from the polarization conversion means 13 is input to one end of
the optical fiber for measurement 2 from the optical recirculation means 14, and
backscattered light returning to this end is input from the optical recirculation means 14 to
the polarization analysis means 15, which is controlled by the timing control means 11, and
the polarization state of the returning light is detected as time-series data.
In measurement of the polarization state, the intensities of four polarization
components comprised by the returning light, which are the horizontal polarization
component, vertical polarization component, 45° linear polarization component, and right-
circular polarization component, are measured as time series, the Stokes parameters are
computed, and fully polarized components are converted into Jones vectors (see Non-patent
Reference 2). By performing these operations using time series, polarization states can be
detected as time series.
The analysis means 16 measures the round-trip Jones matrix of the optical fiber for
measurement 2 from the time-series data for polarization states of returning light, for the
three types of polarization states resulting from conversion by the polarization conversion
means 13. A method for computation of the Jones matrix from output polarized light for
three different types of input polarized light is for example described in detail in Non-patent
Reference 3.
Next, the configuration of the pulse light generation means 12 used in this
birefringence measurement device 1 is described. The light source of a general-use OTDR
has a broad spectral width of 5 nm to 20 nm, and so upon passing a point with large PMD, a
phenomenon occurs in which the polarization states in the pulse differ with wavelength, and
the amplitude is averaged and becomes smaller, so that there is the well-known problem
that subsequent PMD can no longer be measured (see Non-patent Reference 1). Hence it is
desirable that the pulse light output from the pulse light generation means 12 have a narrow
spectral width.

However, as the spectral width of the pulse light is made narrow, another problem
arises. As the spectral width becomes narrow, the light source coherence is increased, so
that there is interference with backscattered light from different positions, appearing as
substantial noise during OTDR measurements. This is called coherent noise.
As one effective method to eliminate the effect of coherent noise on the OTDR
waveform, a phase adjuster 122 which utilizes an electrooptic effect, acoustooptic effect or
similar is placed in a stage beyond the pulse light source 121 of the pulse light generation
means 12, as shown in FIG. 3, so that the spectral width of the pulse light source 121 is
broadened sufficiently that changes in polarization state due to changes in wavelength can
be ignored, reducing coherence. In addition, by placing a wavelength filter in a stage
beyond the pulse light source 121 with a broad spectral width, changes in polarization state
due to wavelength changes can be ignored, and similar advantageous results can be obtained
even when the spectral width is narrowed to an extent such that coherence is not a problem.
The wavelength spectral width must be such that changes in polarization state due to
wavelength changes at different points in the optical fiber for measurement 2 can be
ignored; because this is determined by the magnitude of the cumulative PMD at each point
in the optical fiber for measurement 2, the spectral width cannot be uniquely determined,
but a spectral width of 0.1 nm is sufficient to eliminate coherent noise, and a larger width is
unnecessary.
Next, another aspect of pulse light generation means 12 used in an optical fiber
birefringence measurement device 1 of this invention is described. As shown in FIG. 4, if
an optical amplifier 123 is positioned within the pulse light generation means 12, the pulse
light is amplified, and so measurements can be performed over a longer distance. In this
case, the optical amplifier 123 emits light spontaneously, and so it is preferable that
spontaneous emission suppression means 124 be positioned in a stage beyond the optical
amplifier 123, such that spontaneous emission is not input to the optical fiber for
measurement 2 at times when pulses are not output. As the spontaneous emission
suppression means, an acoustooptic modulator or other optical modulator can be used.

Next, the polarization conversion means 13 is described. The polarization
conversion means 13 used in this invention must be able to form three different polarization
states, and must be configured such that the polarization states formed can be ascertained.
As shown in FIG. 5, when a wave plate 131 is used independently as the polarization
conversion means, if the polarization state of light incident on the wave plate 131 changes,
the emission light polarization state changes; hence it is desirable that the entire optical path
from emission of linearly polarized light by the pulse light generation means 12 up to the
polarization conversion means 13 be configured using polarization-maintaining components
(polarization-maintaining optical fiber or other polarization-maintaining waveguides), so
that the polarization state of light incident on the polarization conversion means 13 is kept
constant.
Next, another polarization conversion means 13 of this invention is described. As
shown in FIG. 6, if a polarizer 132 is used as the polarization conversion means 13, then
even when the polarization state of light incident on the polarization conversion means 13 is
indefinite, the light emitted from the polarization conversion means 13 is linearly polarized
light. Hence it is preferable that, by changing the angle of the polarizer 13, an arbitrary
linearly polarized state can be created. Here, there are cases in which, by changing the
angle of the polarizer 132, the emission power from the polarizer 132 is decreased
according to the angle, and the SN ratio of OTDR measurements is lowered. Hence as
shown in FIG. 8, it is preferable that another polarization conversion means 18 be
positioned in a stage before the polarization conversion means 13, so that by changing the
state of polarization of light input to the polarization conversion means 13, the emission
power from the polarizer in the polarization conversion means 13 can be adjusted.
Next, still another polarization conversion means 13 of the invention is described.
When a configuration is employed in which a polarizer 133 and a wave plate 134 placed in
a later stage are used as the polarization conversion means 13, as shown in FIG. 7, even
when the polarization state of light input to the polarization conversion means 13 is
indefinite, the light output from the polarizer 13 is linearly polarized light, and a
polarization state is created by the wave plate 134, which is preferable. In this case, it is
preferable that a configuration be employed in which, by changing the angle of the polarizer

133 according to the state of polarization of light input to the polarization conversion means
13, the power output from the polarizer 133 can be adjusted. And, it is still more preferable
that a configuration be employed in which another polarization conversion means 18 be
placed in a stage before the polarization conversion means 13, so that by changing the
polarization state of light input to the polarization conversion means 13, the power emitted
from the polarizer in the polarization conversion means 13 can be adjusted.
Next, another aspect of a birefringence measurement device of the invention is
described. The polarization state of light passing through an optical fiber varies greatly
when the optical fiber is subjected to bending, external forces, and other perturbations from
outside. Hence when using polarizers 132, 133 in the polarization conversion means 13, if a
perturbation is applied from outside during measurements in the optical path connecting the
pulse light generation means 12 and the polarization conversion means 13, the quantities of
light passing through the polarizers 132 and 133 in the polarization conversion means 13
change, and there is a large impact on the measurement results. Hence as shown in FIG. 9,
it is preferable that optical branching means 19 and optical detection means 20 be placed in
a stage beyond the polarization conversion means 13, that changes in the quantities of light
passing through the polarizers 132 and 133 be measured, and that monitoring for the
presence of the effect of perturbations be performed, as well as controlling the polarization
conversion means 13 such that adequate pulse light intensity is always obtained.
Next, still another aspect of a birefringence measurement device of the invention is
described. When similar perturbations are applied to the optical fiber for measurement 2
during measurements, the Jones matrix for the optical fiber changes, and there is an effect
on the measurement results. Hence a method in which two or more measurements are
performed for the same input polarization and the results are compared, to monitor whether
perturbations have been applied to the optical fiber for measurement 2 during measurements,
is effective. Specifically, a configuration can be employed in which, by incorporating the
above-described measurement program into the analysis means 16, performing two or more
measurements with the same input polarization, and comparing the results, it is possible to
display whether perturbations have been applied to the optical fiber for measurement 2
during measurements. There may not be a need to perform two or more measurements for

all three input polarizations; normally it is sufficient to perform two measurements with the
same input polarization state at the beginning and at the end, and to compare the
measurement results.
Next, a PMD measurement method of this invention is explained. A feature of a
PMD measurement method of this invention is the determination of PMD in the optical
fiber for measurement 2 based on the birefringence of the optical fiber for measurement 2
measured using an above-described birefringence measurement method of this invention.
As explained above, PMD is determined based on two factors, which are the local
birefringence and polarization mode coupling. Hence when polarization mode coupling can
be regarded as substantially constant, and when a fixed relation exists between the
magnitude of local birefringence and polarization mode coupling, the value of polarization
mode coupling can be measured using the local birefringence, and so the PMD value can be
measured.
In general, the larger the birefringence of an optical fiber placed in the free state, the
smaller is the polarization mode coupling, and the smaller the birefringence, the larger is the
polarization mode coupling; hence there exists a fixed relation between the magnitude of
the birefringence and the polarization mode coupling, and by determining this relation
experimentally in advance, the PMD can be measured through the magnitude of the
birefringence. This method is particularly effective when measuring the PMD in a short
optical fiber in which the PMD in the free state is comparatively small.
An optical fiber of total length 3000 m was actually placed in the free state, and a
measurement device of this invention was used to measure the birefringence at a
wavelength of 1.55 um. Then, the PMD of the optical fiber in the free state was measured
for the 1.55 um wavelength band; the results are compared in FIG. 13. The PMD
measurement results of FIG. 13 were obtained by changing the installed state of the optical
fiber upon each measurement, performing 10 measurements of the PMD with the optical
fiber in the free state, and averaging the results.
FIG. 14 compares one measurement result extracted from the ten results with the
average of 10 measurements in the PMD measurements of the optical fiber in the free state.

Due to the statistical nature of PMD, the average value of the 10 measurements is thought to
be closer to the true value; but on comparing FIG. 13 and FIG. 14, it is seen that the results
of comparison with the birefringence measured using a method of this invention clearly
shows stronger correlation than the results of comparison with the single PMD
measurement. Hence the method of this invention is capable of accurate PMD
measurement.
According to Non-patent Reference 4, when the PMD measurement precision is
represented by the standard deviation a from the true value, then a is inversely proportional
to the 1/2 power of the total PMD. Further, because the total PMD is proportional to the 1/2
power of the optical fiber length, a is inversely proportional to the 1/4 power of the optical
fiber length. Hence, while in this embodiment 3000 m of optical fiber were used, if 1000 m
of optical fiber were used the figure would be worsened by approximately 1.6 times; if 300
m were used, the figure would be worsened by approximately 1.8 times; and if 100 m were
used, the figure would be worsened by approximately 2.3 times. Hence when a shorter
optical fiber than in this embodiment was used to perform similar measurements, the
correlation shown in FIG. 14 is expected to be a weaker correlation. On the other hand,
because birefringence is not a statistical quantity, the measurement precision is not affected
by the length of the optical fiber measured. Thus the method of this invention is
particularly useful, compared with methods for direct PMD measurement of the prior art,
when measuring the PMD of a short optical fiber with a comparatively small PMD.
Next, another PMD measurement method of this invention is described. As
explained above, the PMD of optical fiber wound on a bobbin and the PMD when placed in
the free state do not agree. However, in cases where the magnitude of the birefringence due
to an external force applied from outside is small compared with the magnitude of the
internal birefringence, or when the torsion applied to the optical fiber is small, the
birefringence values of the optical fiber in the two states are nearly the same. In such cases,
a relation exists between the birefringence of the optical fiber wound on the bobbin and the
birefringence of the optical fiber placed in the free state; and the PMD of the optical fiber
placed in the free state can be measured from the birefringence of the optical fiber wound
on the bobbin.

In cases in which torsion or lateral pressure is applied after optical fiber
solidification, the value of birefringence measured using a method of this invention is
affected, and differs from the birefringence of the optical fiber placed in the free state; but
when the entire optical fiber undergoes similar processes and is taken up on a bobbin, that is,
in general manufacturing processes, the effect is substantially constant. Hence when the
effect can be regarded as constant, a relation exists between the value of birefringence
measured by a method of this invention in the state of being wound on a bobbin, and the
value of the birefringence for the optical fiber placed in the free state. Consequently by
measuring the birefringence of the optical fiber wound on a bobbin, the PMD of the optical
fiber placed in the free state can be measured.
Next, twist applied to an optical fiber subjected to measurements while wound on a
bobbin is discussed. In a birefringence measurement method of this invention, it is assumed
that the infinitesimal interval (z, z+Δz) has only linear birefringence, and that the direction
of the birefringent axis is also constant. In an optical fiber in the free state and in an optical
fiber in an optical cable, the amount of twist is small, and so this assumption poses no
problems. However, when a large twist is applied to an optical fiber wound on a bobbin
due to the takeup process, there is an effect on the value of the birefringence measured
using a method of this invention. This effect was computed using numerical calculations,
and the range of applicability of methods of this invention was studied.
In calculations, the infinitesimal interval Δz was set to a length of 1 m, which is
generally the resolution of OTDR. Calculation of the Jones matrix for the infinitesimal
interval was performed by further dividing the infinitesimal interval into 0.001 m intervals,
and rotating birefringent axis of adjacent intervals by the amount of twist. The Jones matrix
for a 0.001 m interval was computed by multiplying the Jones matrix representing only the
effect of rotatory power in the interval by the Jones matrix representing only the effect of
linear birefringence in the interval. Waveguide dispersion and material dispersion of the
optical fiber were not considered, and the light propagating in the optical fiber was
approximated by a plane wave. The magnitude of the birefringence before twist application
An was taken to be 1.55xl0"7, the rotatory power a to be 0.07, and the wavelength to be

1.55 jam. These are representative values for optical fibers and wavelengths widely used in
current optical communication systems.
FIG. 10 shows the amount of change in the magnitude of the birefringence measured
by a method of the invention, when the amount of twist was variously changed. From FIG.
10, if the amount of twist applied to the optical fiber was 1 rad/m, then the magnitude of the
birefringence measured using a method of the invention matched the magnitude of the
birefringence when there was no twist with a difference of approximately 10%. However,
when the twist amount was 2 rad/m, the difference was approximately 40%. Hence it is
preferable that the amount of twist applied to an optical fiber measured using a method of
this invention to be 1 rad/m or less.
In recent years there have been cases in which a method has been used of effectively
reducing the birefringence, by applying spin prior to solidification of the glass during
drawing from molten glass of optical fiber and changing the birefringent axis direction, to
reduce the optical fiber PMD. The effective birefringence magnitude An' in the
infinitesimal interval can be determined from the phase difference (j> occurring between two
orthogonal intrinsic polarizations which are intrinsic to the infinitesimal interval, and after
diagonalizing the Jones matrix for the infinitesimal interval to equation (14),

An' can be computed from the following equations (15) and (16).

In this case also, the birefringent axis direction in the infinitesimal interval Δz is not
constant, and so may affect the value of birefringence measured using a method of this

invention. This effect was computed using numerical calculations, to study the range of
applicability of methods of this invention. The calculation conditions were the same.
First, FIG. 11 shows the calculated differences occurring in the magnitude of the
effective birefringence in the interval Δz and in the magnitude of birefringence measured by
a method of this invention, when spin is applied in a constant direction before optical fiber
solidification, and the amount of applied spin is varied.
FIG. 12 shows the results of similar calculations for cases in which sinusoidal spin is
applied before optical fiber solidification. Sinusoidal spin is a method of application of spin
such that the following equation (17)

obtains between the spin angle 9 at a point at a distance z, the spin amplitude A, and
the spin period P.
From FIG. 11 and FIG. 12, it is seen that even when spin is applied in a constant
direction before optical fiber solidification, and even when sinusoidal spin is applied before
optical fiber solidification, the magnitude of birefringence measured by a method of this
invention agrees well with the effective birefringence magnitude. Hence when the effective
birefringence is lowered by applying spin before optical fiber solidification, a method of
this invention can be used for accurate measurement of birefringence.
Next, another PMD measurement method of this invention is explained. If the effect
of an external force applied to the optical fiber for measurement by the bobbin is small, a
method of this invention can be used to measure the PMD of the optical fiber placed in the
free state, but when the tension of takeup onto the bobbin is high, there is an effect of lateral
pressure due to the tension, and there are cases in which it is difficult to reduce the effect on
birefringence of the external force applied across the entire length of the optical fiber for
measurement. FIG. 15 shows the results of longitudinal measurement, from the outermost
periphery, of the beat length of optical fiber wound around a bobbin. From FIG. 15, it is
seen that in the state of being wound around the bobbin, the further toward the inner
periphery, the larger is the birefringence.

On the other hand, the birefringence of an optical fiber is frequently due to the
preform of the optical fiber; if the preform is the same, often the magnitude of the
birefringence is substantially the same. In such cases, such locations that the effect on the
birefringence due to the applied external force is small, the birefringence in the vicinity of
the outermost periphery of the wound optical fiber can usually be measured and taken as a
representative value of the birefringence for the optical fiber for measurement, and used to
measure the PMD of the optical fiber placed in the free state.
FIG. 16 compares the birefringence actually measured over an interval of 500 m
from the outermost periphery in the state of being wound on a bobbin with the PMD
measured when the entire optical fiber wound on the bobbin was placed in the free state.
From FIG. 16 it is seen that by measuring the birefringence of the outer peripheral portion
while in the state of being wound on the bobbin, the result can be used as a representative
value of the PMD when the entire optical fiber wound on the bobbin is placed in the free
state.
Next, the form of bobbins for which use of the methods of this invention are suited
is discussed. If the effect of external force applied by the bobbin to the optical fiber for
measurement is small, then when the above method is used to measure the PMD of an
optical fiber placed on the free state, measurements can be performed over a longer distance
from the outer peripheral portion. To this end, it is preferable that a cushion material be
placed at locations at which the bobbin and the optical fiber for measurement make contact,
to reduce the effect of external force applied to the optical fiber for measurement. One
perturbing factor acting on an optical fiber for measurement during measurements is the
perturbations due to changes in lateral pressure applied to the fiber when the bobbin around
which the optical fiber is wound expands or contracts due to changes in temperature; it is
preferable that cushion material be used to prevent the application of perturbations to the
optical fiber for measurement even when expansion or contraction of the bobbin occurs.
Further, it is preferable that the bobbin be configured so as to enable temporary
removal of tension on the optical fiber for measurement, and that a measurement method be
used in which, having removed tension temporarily from the optical fiber during
measurements, after measuring the PMD using a method of this invention, the tension is

returned to the original state. This method is particularly effective when the bobbin takeup
tension is high, and the birefringence arising from winding onto the bobbin is high.
Next, a method of longitudinal measurement of the PMD and birefringence of an
optical fiber is described. Using a method of this invention, the birefringence can be
determined longitudinally along an optical fiber, and so using the relation between
birefringence and PMD described above, the PMD can be measured longitudinally.
FIG. 17 compares the results when an optical fiber of total length 5000 m, drawn
from molten glass such that circularity of the optical fiber was partially worsened, and in a
state of being wound on a bobbin, was subjected to longitudinal birefringence
measurements by a method of this invention, and was then divided in two at the 2500 m
point and subjected to PMD measurements in the free state. From FIG. 17, it is seen that by
using a method of this invention, the PMD in the free state in the length direction can be
measured longitudinally even when the optical fiber is wound on a bobbin.
Further, it is preferable that a configuration be adopted in which cushion material is
placed in locations at which the bobbin and the optical fiber for measurement make contact
or the tension on the optical fiber for measurement due to the bobbin be temporarily
removed, and that, with the tension on the optical fiber temporarily removed during
measurements, that the PMD be measured in the length direction by a method of this
invention, enabling detection of longitudinal PMD fluctuations with extremely high
precision.
FIG. 18 compares the results when an optical fiber of total length 3000 m, drawn
from molten glass such that circularity of the optical fiber was partially worsened, was
wound onto a bobbin configured to enable temporary removal of tension on the optical fiber
for measurement, after which tension was temporarily removed and the longitudinal
birefringence was measured by a method of this invention, following which the fiber was
divided in two at the 1500 m point, and PMD measurements were performed in the free
state. From FIG. 18, it is seen that by using a method of this invention, even extremely
small longitudinal PMD changes can be detected.

This invention provides an optical fiber the polarization mode dispersion of which,
as measured by the above-described optical fiber polarization mode dispersion measurement
method, is 0.1 ps/^lkm or less. An optical fiber of this invention may be a quartz glass
single-mode optical fiber (hereafter "SM fiber") or a polarization-maintaining optical fiber
or similar, but is not limited to these.
An optical fiber of this invention can be provided in a state of being wound on a
bobbin; it is preferable that, in the state of being wound on a bobbin, the amount of torsion
applied be 1 rad/m or less. If the torsion amount is 1 rad/m or less, then the birefringence
measured in the state of being wound around the bobbin agrees with the magnitude of the
birefringence when there is no twist with a difference of approximately 10%, and so the
birefringence of the optical fiber can be measured in the state of being wound around a
bobbin. On the other hand, in cases in which the twist amount exceeds 1 rad/m, and the
twist amounts are different for each optical fiber, the relation between the measured
birefringence and the PMD of the optical fiber placed in the free state is weakened, and the
PMD cannot be accurately measured.
It is preferable that the optical fiber of this invention display, either on the optical
fiber itself or on the bobbin on which it is wound, the PMD value measured using the
above-described PMD measurement method of this invention or the upper limit thereof. It
is preferable that the displayed contents be, for example, "PMD 0.01 to 0.05 ps/ 4km ",
"PMD 0.1 ps/Jkm or less", or similar. Display may be accomplished by affixing a label on
which are printed the display contents, by attaching a tag with the display, or similar. The
PMD value or upper limit may also be printed on an explanatory document listing the
performance of the optical fiber, and this document may be packed or packaged with the
optical fiber wound on the bobbin.
Optical fibers of various lengths, wound around a bobbin of diameter 300 mm under
a tension of 40 g, were in this state subjected to birefringence measurements over a 1300 m
interval from the outermost periphery. Then, this 1300 m was placed in the free state, and
both the birefringence and the PMD were measured ten times each. Vibrations were
applied to the optical fibers upon each measurement (as described in IEC 60793-1-48,
Annex E).

The results of comparison of the birefringence in the state of being wrapped around
a bobbin, and the PMD of the optical fiber placed in the free state, appear in FIG. 19. In
FIG. 19, the PMD measurement results are averages often measurements. From FIG. 19 it
is seen that by measuring the birefringence in the state of being wound around a bobbin, the
PMD of the optical fiber placed in the free state can be measured.
FIG. 20 shows the results of comparison of the birefringence of an optical fiber
placed in the free state, and the PMD of the optical fiber placed in the free state. The points
in FIG. 20 are averages often measurement results for each measurement; error bars
indicate the standard deviation. From FIG. 20, by measuring the birefringence when placed
in the free state, the PMD of the optical fiber placed in the free state can be measured. It is
seen that the standard deviation of birefringence measurements is extremely small
compared with the standard deviation of PMD measurements. Hence it is seen that the
PMD measurement method of this invention has extremely good measurement
reproducibility.
FIG. 21 shows the results of comparison of birefringence when in the state of being
wound around a bobbin, and the birefringence of the optical fiber placed in the free state.
From FIG. 21 it is seen that even in the state of being wound around a bobbin, the state of
birefringence is unchanged from the case of being placed in the free state, so that this
method is suitable for measurement of optical fiber wound around a bobbin. The measured
values of the birefringence are equal for the state of being wound around a bobbin and for
the free state because no torsion occurs when winding around the bobbin, or, the effect on
the birefringence due to the bobbin bending radius and lateral pressure is very small.

WE CLAIM:
1. A method of measurement of the birefringence of an optical fiber,
comprising the steps of:
generating pulse light from a pulse light generating means;
converting polarized state of the pulse light from the pulse light
generation means;
inputting the converted pulse light to one end of the optical fiber for
measurement; and
detecting the polarization state of backscattered light returning to the one
end of the optical fiber for measurement as a time series by a polarization detection
means;
characterized in that the method comprises the steps of:
acquiring the round-trip Jones matrix R(z) for a first interval (0,z) from a
measurement starting point 0 in the optical fiber for measurement to a prescribed
position z;
acquiring the round-trip Jones matrix R(z+Δz) for a second interval
(0,z+Δz) from said measurement starting point 0 to a position z+Az differing from said
position z;
determining the eigenvalues p1, p2 of the matrix R(z+Δz)R(z)-1; and
obtaining the birefringence in the infinitesimal interval Δz from said
position z to said position z+Δz by computing the following equations (1) and (2),


where φ represents the phase difference between linear polarization components due to
birefringence, Δn represents birefringence, and λ represents wavelength.
2. The optical fiber birefringence measurement method as claimed in claim 1,
wherein a polarization OTDR is used to acquire the round-trip Jones matrices of the
optical fiber for measurement.
3. An optical fiber birefringence measurement device, comprising:
timing control means;
pulse light generation means, controlled by the timing control means;
polarization conversion means which converts polarized state of pulse light from
the pulse light generation means;
optical recirculation means which inputs pulse light from the polarization
conversion means to one end of the optical fiber for measurement, and which outputs
backscattered light returning to one end of the optical fiber for measurement;
polarization detection means, controlled by the timing control means, which
detects the polarization state of light output from the optical recirculation means as a
time series; and
analysis means, which, based on the output of the polarization detection means,
uses the birefringence measurement method as claimed in claim 1 or claim 2 to measure
the birefringence of the optical fiber for measurement.
4. An optical fiber polarization mode dispersion measurement method, comprising
the steps of:

determining in advance the relation between the birefringence of optical fibers in
the free state, measured using the optical fiber birefringence measurement method as
claimed in claim 1 or claim 2, and the polarization mode dispersion of the optical fibers
measured in the free state,
measuring the birefringence of an optical fiber for measurement in the free state
by the optical fiber birefringence measurement method; and
measuring the polarization mode dispersion of the optical fiber for measurement
in the free state based on the measured birefringence of the optical fiber for measurement
using the relation between the birefringence and the polarization mode dispersion.
5. An optical fiber polarization mode dispersion measurement method, wherein a
portion of an optical fiber wound around a bobbin is separated, and after measuring the
polarization mode dispersion of the separated portion using the optical fiber polarization
mode dispersion measurement method as claimed in Claim 4, the measured value is
taken to be the polarization mode dispersion when the entire optical fiber wound around
the bobbin is placed in the free state.
6. An optical fiber polarization mode dispersion measurement method, comprising
the steps of:
determining in advance the relation between the birefringence of optical fibers in
the free state measured using the optical fiber birefringence measurement method as
claimed in claim 1 or claim 2, and the polarization mode dispersion of the optical fibers
measured in the free state,
measuring the birefringence of an optical fiber for measurement in the state of
being wound around a bobbin by the optical fiber birefringence measurement method;
and
measuring the polarization mode dispersion of the optical fiber for measurement
in the free state based on the measured birefringence of the optical fiber for measurement
using the relation between the birefringence and the polarization mode dispersion.
7. An optical fiber polarization mode dispersion measurement method, comprising
the steps of:

determining in advance the relation between the birefringence of optical fibers in
the state of being wound on a bobbin, measured using the optical fiber birefringence
measurement method as claimed in claim 1 or claim 2, and the polarization mode
dispersion of the optical fibers measured in the free state,
measuring the birefringence of an optical fiber for measurement in the state of
being wound around a bobbin by the optical fiber birefringence measurement method;
and
measuring the polarization mode dispersion of the optical fiber for measurement
in the free state based on the measured birefringence of the optical fiber for measurement
using the relation between the birefringence and the polarization mode dispersion.
8. The optical fiber polarization mode dispersion measurement method as claimed
in claim 6 or claim 7, wherein me amount of torsion applied to the optical fiber for
measurement in the state of being wound around a bobbin is 1 rad/m or less.
9. The optical fiber polarization mode dispersion measurement method as claimed
in any one of claims 6 to 8, wherein the birefringence of a portion for which the effects
of the tension of winding onto the bobbin and of lateral pressure by the wound optical
fiber itself are small is measured, and the result taken as a representative value of the
birefringence of the optical fiber for measurement, and used as the polarization mode
dispersion of the optical fiber when the entire optical fiber wound around the bobbin is
placed in the free state.
10. The optical fiber polarization mode dispersion measurement method as claimed
in any one of claims 6 to 9, wherein cushion material is placed at locations at which the
bobbin which takes up the optical fiber for measurement makes contact with the optical
fiber, reducing the lateral pressure on the optical fiber, and that the effects of polarization
state fluctuations during measurements due to expansion and contraction of the bobbin
due to temperature changes in the measurement environment, are eliminated.
11. The optical fiber polarization mode dispersion measurement method as claimed
in any one of claims 6 to 9, wherein, with the tension on the optical fiber relaxed

temporarily, the birefringence of the optical fiber for measurement in the state of being
wound around the bobbin is measured, and the polarization mode dispersion of the
optical fiber in the free state is measured.
12. An optical fiber, wherein the polarization mode dispersion, measured by the
optical fiber polarization mode dispersion measurement method as claimed in any one of
claims 4 to 11, is 0.1 ps/KM or less.
13. The optical fiber as claimed in claim 12, wherein, in the state of being wound
around the bobbin, the amount of torsion applied is 1 rad/m or less.
14. The optical fiber as claimed in claim 12 or claim 13, wherein the measured
polarization mode dispersion value, or the upper limit thereof, is displayed.



ABSTRACT


METHOD AND DEVICE FOR MEASURING DOUBLE REFRACTION OF
OPTICAL FIBER, METHOD OF MEASURING POLARIZATION MODE
DISPERSION OF OPTICAL FIBER AND OPTICAL FIBER
It is an object of the invention to measure the birefringence and PMD of a short
optical fiber (2) in the free state with accuracy. This method comprises the steps of
generating pulse light from a pulse light generating means (12); converting polarized
state of the pulse light by a polarization conversion means (13); inputting the converted
pulse light to one end of the optical fiber (2); and detects the polarization state of
backscattered light returning to the one end; acquiring the round-trip Jones matrix R(z)
for a first interval (0,z); acquiring the round-trip Jones matrix R(z+Δz) for a second
interval (0,z+Δz); determining the eigenvalues p1, p2 of the matrix R(z+Δz)R(z)-1; and
obtaining the birefringence in the infinitesimal interval Δz by computing the following
equations (1) and (2).

φ represents the phase difference between linear polarization components due to
birefringence, Δn represents birefringence, and λ represents wavelength.

Documents:

03207-kolnp-2007-abstract.pdf

03207-kolnp-2007-claims.pdf

03207-kolnp-2007-correspondence others.pdf

03207-kolnp-2007-description complete.pdf

03207-kolnp-2007-drawings.pdf

03207-kolnp-2007-form 1.pdf

03207-kolnp-2007-form 3.pdf

03207-kolnp-2007-form 5.pdf

03207-kolnp-2007-gpa.pdf

03207-kolnp-2007-international publication.pdf

03207-kolnp-2007-international search report.pdf

03207-kolnp-2007-others.pdf

03207-kolnp-2007-priority document.pdf

3207-KOLNP-2007-(06-09-2012)-ABSTRACT.pdf

3207-KOLNP-2007-(06-09-2012)-AMANDED CLAIMS.pdf

3207-KOLNP-2007-(06-09-2012)-AMANDED PAGES OF SPECIFICATION.pdf

3207-KOLNP-2007-(06-09-2012)-ANNEXURE TO FORM 3.pdf

3207-KOLNP-2007-(06-09-2012)-DESCRIPTION (COMPLETE).pdf

3207-KOLNP-2007-(06-09-2012)-DRAWINGS.pdf

3207-KOLNP-2007-(06-09-2012)-EXAMINATION REPORT REPLY RECEIVED.pdf

3207-KOLNP-2007-(06-09-2012)-FORM-1.pdf

3207-KOLNP-2007-(06-09-2012)-FORM-2.pdf

3207-KOLNP-2007-(06-09-2012)-OTHERS.pdf

3207-KOLNP-2007-(06-09-2012)-PA.pdf

3207-KOLNP-2007-ASSIGNMENT.pdf

3207-KOLNP-2007-CANCELLED PAGES.pdf

3207-KOLNP-2007-CORRESPONDENCE OTHERS 1.1.pdf

3207-KOLNP-2007-CORRESPONDENCE.pdf

3207-KOLNP-2007-EXAMINATION REPORT.pdf

3207-KOLNP-2007-FORM 18.pdf

3207-KOLNP-2007-GPA.pdf

3207-KOLNP-2007-GRANTED-ABSTRACT.pdf

3207-KOLNP-2007-GRANTED-CLAIMS.pdf

3207-KOLNP-2007-GRANTED-DESCRIPTION (COMPLETE).pdf

3207-KOLNP-2007-GRANTED-DRAWINGS.pdf

3207-KOLNP-2007-GRANTED-FORM 1.pdf

3207-KOLNP-2007-GRANTED-FORM 2.pdf

3207-KOLNP-2007-GRANTED-FORM 3.pdf

3207-KOLNP-2007-GRANTED-FORM 5.pdf

3207-KOLNP-2007-GRANTED-SPECIFICATION-COMPLETE.pdf

3207-KOLNP-2007-OTHERS.pdf

3207-KOLNP-2007-REPLY TO EXAMINATION REPORT.pdf

abstract-03207-kolnp-2007.jpg


Patent Number 256276
Indian Patent Application Number 3207/KOLNP/2007
PG Journal Number 22/2013
Publication Date 31-May-2013
Grant Date 28-May-2013
Date of Filing 30-Aug-2007
Name of Patentee FUJIKURA LTD.
Applicant Address 5-1, KIBA 1-CHOME KOHTOH-KU, TOKYO
Inventors:
# Inventor's Name Inventor's Address
1 GOTO RYUICHIRO C/O FUJIKURA LTD., SAKURA WORKS, 1440, MUTSUZAKI,, SAKURA-SHI, CHIBA-KEN
2 HIMENO KUNIHARU C/O FUJIKURA LTD., SAKURA WORKS, 1440, MUTSUZAKI,, SAKURA-SHI, CHIBA-KEN
3 MATSUO SHOICHIRO C/O FUJIKURA LTD., SAKURA WORKS, 1440, MUTSUZAKI,, SAKURA-SHI, CHIBA-KEN
PCT International Classification Number G01M 11/02
PCT International Application Number PCT/JP2006/307927
PCT International Filing date 2006-04-14
PCT Conventions:
# PCT Application Number Date of Convention Priority Country
1 2005-117030 2005-04-14 Japan
2 2005-229263 2005-08-08 Japan