The present disclosure relates to a mode field diameter measurement method for measuring a mode field diameter of a multimode fiber and a measurement device thereof.
With an increase in large-capacity content typified by moving images and games and the spread of smartphones, traffic volume in an optical fiber network is increasing year by year. On the other hand, the limit of the transmission capacity of the single-mode fiber currently used as a transmission medium is close. As one technology for coping with future traffic increase, mode multiplex transmission using a multimode fiber has attracted attention. In the mode multiplex transmission system, since a plurality of waveguide modes are used as transmission channels, it is important to grasp the transmission characteristics of each mode.
The transmission characteristics of the optical fiber are closely related to the electric field distribution of the waveguide mode. The mode field diameter is a parameter representing the spread of the electric field, and allows a connection loss, wavelength dispersion, a backscattered light capturing rate, and the like to be estimated. Thus, the mode field diameter is one of the important parameters for grasping the transmission characteristics of the optical fiber. Non Patent Literature 1 discloses a method for acquiring a mode field diameter of a waveguide mode incident as test light by making the test light, to be measured, enter a multimode fiber in a waveguide mode and measuring light output from the multimode fiber.
Non Patent Literature 1: A. Nakamura et al., “Mode field diameter definitions for few-mode fibers based on spot size of higher-order Gaussian mode,” IEEE Photonics Journal, vol. 12, no. 2, 7200609, 2020.
However, in the method of Non Patent Literature 1, it is necessary to prepare a mode multiplexer or the like for causing test light to enter a multimode fiber in a waveguide mode to be measured, and there is a problem in measurement easiness.
The present invention has been made in view of the above circumstances, and an object thereof is to provide a mode field diameter measurement method enabling easily measuring a mode field diameter in an optical fiber, which is capable of propagating a fundamental mode (LP01 mode) and a first higher order mode (LP11 mode), without using a mode multiplexer, and to provide a measurement device of the mode field diameter measurement method.
In order to achieve the above object, in a mode field diameter measurement method according to the present invention, intensity ratios between an LP01 mode and an LP11 mode output from an optical fiber to be tested are varied, a mode field diameter is measured by a variable aperture (VA) method for each of the intensity ratios, and each mode field diameter is calculated.
Specifically, a first mode field diameter measurement method according to the present invention includes:
A first mode field diameter measurement device that implements the first mode field diameter measurement method is a mode field diameter measurement device including: an exciter that excites an LP01 mode and an LP11 mode as test light to an optical fiber to be tested; a light intensity measurement unit that measures light intensity output from the optical fiber to be tested while changing an aperture angle of a variable aperture; a mode filter that changes an intensity ratio between the LP01 mode and the LP11 mode output from the optical fiber to be tested; and an arithmetic unit to which the light intensity measured by the light intensity measurement unit is input,
On the other hand, a second mode field diameter measurement method according to the present invention includes:
A second mode field diameter measurement device that implements the second mode field diameter measurement method is a mode field diameter measurement device including: an exciter that excites an LP01 mode and an LP11 mode as test light to an optical fiber to be tested; a light intensity measurement unit that measures light intensity output from the optical fiber to be tested while changing an aperture angle of a variable aperture; a mode filter that changes an intensity ratio between the LP01 mode and the LP11 mode output from the optical fiber to be tested; and an arithmetic unit to which the light intensity measured by the light intensity measurement unit is input,
In the mode field diameter measurement method and the measurement device according to the present invention, it is not necessary to excite only the first higher order mode (LP11 mode) to the optical fiber to be tested, and thus a mode multiplexer is unnecessary. Accordingly, the present invention can provide a mode field diameter measurement method enabling easily measuring a mode field diameter in an optical fiber, which is capable of propagating a fundamental mode (LP01 mode) and a first higher order mode (LP11 mode), without using a mode multiplexer, and can provide a measurement device of the mode field diameter measurement method.
The present invention can provide a mode field diameter measurement method enabling easily measuring a mode field diameter in an optical fiber, which is capable of propagating a fundamental mode (LP01 mode) and a first higher order mode (LP11 mode), without using a mode multiplexer, and can provide a measurement device of the mode field diameter measurement method.
Embodiments of the present invention will be described with reference to the accompanying drawings. The embodiment described below is an example of the present invention, and the present invention is not limited to the following embodiment. Note that components having the same reference signs in the present specification and the drawings indicate the same components.
This mode field diameter measurement method is a mode field diameter measurement method for measuring a mode field diameter of an optical fiber to be tested, which is capable of propagating LP01 mode and LP11 mode, by a variable aperture (VA) method.
A mode field diameter measurement method includes:
Details will be described below.
This step is a test light excitation procedure of exciting the LP01 mode and the LP11 mode to the optical fiber to be tested.
This step is a light intensity measurement procedure of measuring light intensity of output light from the other end passing through an aperture while changing an aperture angle with respect to a central axis of the other end of the aperture installed so that a center is on the central axis of the other end of the optical fiber to be tested.
This step is an electric field spread value calculation procedure of calculating an electric field spread value using the dependence of the light intensity measured in step S12 on the aperture angle and Equation (1) described below. The “an integral value of a value related to the light intensity when the aperture angle is changed from zero to a maximum” means the integral included in Equation (1).
In the equation, λ is the wavelength of the test light, k is the ratio of the light intensity of the LP11 mode to the light intensity of the LP01 mode included in the test light, D(k) is the electric field spread value, θ is the aperture angle of the variable aperture 14 from the central axis of the optical fiber to be tested 10, P(θ, k) is the light intensity where the aperture angle of the variable aperture 14 is θ, and θmax is the maximum aperture angle.
This step is an electric field spread value change acquisition procedure of attenuating the light intensity of the LP11 mode, excited to the optical fiber to be tested in step S11, by the mode filter, changing the ratio of the light intensities of the LP01 mode and the LP11 mode included in the output light, from the other end of the optical fiber to be tested, to repeat steps S12 and S13, and acquiring a change in the electric field spread value with respect to the ratio k between the light intensities of the LP01 mode and the LP11 mode. By performing this step, the graph of
In the graph of
The mode field diameter wu of the parameter is changed to find the mode field diameter wu of the LP11 mode in which the square error between the intensity ratio dependency of the electric field spread value and the intensity ratio dependency of the electric field spread calculated value is minimum.
The exciter A includes a light source 11 and an excitation unit 12. The continuous light output from the light source 11 is excited as test light by the excitation unit 12 to the optical fiber to be tested 10 in the LP01 mode and the LP11 mode. The excitation unit 12 is, for example, a multimode fiber or an optical lens system. The exciter A performs step S11 described above.
The mode filter 13 has a function of removing unnecessary higher order modes and clad modes included in the test light propagating through the optical fiber to be tested 10 and a function of attenuating the light intensity of the LP11 mode. The mode filter 13 includes, for example, optical fiber bending with different radii.
The light intensity measurement unit B includes a variable aperture 14, an optical lens 15, a light receiver 16, and a control unit 17. The test light output from the optical fiber to be tested 10 passes through the variable aperture 14, then, collected by the optical lens 15, and photoelectrically converted by the light receiver 16. At this time, an aperture angle θ of the variable aperture can be changed according to a signal from the control unit 17. In order to align the center axis of the optical fiber to be tested 10 with the center of the variable aperture 14, it is desirable to install an alignment device (not illustrated) at the test light output end of the optical fiber to be tested 10. The light intensity measurement unit B performs the above-described step S12.
The arithmetic unit C includes an analog/digital (A/D) converter 18 and a signal processing unit 19. A signal related to light intensity output from the light receiver 16 is converted into digital data by the analog/digital (A/D) converter 18. The signal processing unit 19 acquires light intensity with respect to the aperture angle θ of the variable aperture 14 on the basis of a signal from the control unit 17 and digital data. The signal processing unit 19 further performs arithmetic processing (steps S13 and S14) of calculating the electric field spread value using the light intensity with respect to the aperture angle θ. Arithmetic processing (steps S15 and S16) of calculating the mode field diameters of the LP01 mode and the LP11 mode is performed using the change in the electric field spread value with respect to the ratio between the light intensities of the LP01 mode and the LP11 mode included in the test light.
The signal processing unit 19 can also be formed with a computer and a program, and the program can be recorded on a recording medium or be provided through a network.
Arithmetic processing (steps S15 and S16) of calculating the mode field diameter of the LP01 mode and the LP11 mode from the change in the electric field spread value with respect to the ratio of the light intensities of the LP01 mode and the LP11 mode will be described below.
An electric field spread value D(k) is calculated from the dependency of the light intensity passing through the variable aperture on the aperture angle θ and the following equation.
In the equation, λ is the wavelength of the test light, D(k) is the electric field spread value, θ is the aperture angle of the variable aperture 14 from the central axis of the optical fiber to be tested 10, P(θ, k) is the light intensity when the aperture angle of the variable aperture 14 is θ, and θmax is the maximum aperture angle. k is a ratio of the light intensity of the LP01 mode to the light intensity of the LP11 mode included in the test light.
Here, P(θ, k) can be expressed by the sum of the light intensity P01(θ, k) of the LP01 mode component and the light intensity P11(θ, k) of the LP11 mode component.
P(θ, k)=P01(θ, k)+P11(θ, k) [Math. 3]
When the light intensity of the LP11 mode component is removed to such an extent that k=0 can be regarded by the mode filter 13, Equation (2) becomes an equation representing the mode field diameter w01 of the LP01 mode. Accordingly, the mode field diameter w01 of the LP01 mode can be obtained, by measuring the light intensity at k≈0 by the light intensity measurement unit B (measuring the light intensity during conversion of the aperture angle θ from zero to θmax) and calculating the electric field spread value D(0) by the arithmetic unit C using Equation (2).
On the other hand, in a case where k≠0, the electric field spread value D(k) is an electric field spread value including information of both the LP01 mode and the LP11 mode as in Equation (3).
Here, the electric field distributions in the radial direction in the near field of the LP01 mode and the LP11 mode are approximated by Equations (4) and (5), respectively.
Here, Enνμ represents the electric field distribution in the near field of the LPνμ mode, wνμ represents the mode field radius (spot size) of the LPνμ mode, and r represents the radial coordinate in the optical fiber cross section. φ represents an azimuth angle in the cross section of the optical fiber.
At this time, the electric field distributions in the far field of the LP01 mode and the LP11 mode are expressed by Equations (6) and (7), respectively.
Here, R represents a coordinate in the radial direction in the far-field. z represents a distance between the end face of the optical fiber to be tested 10 and the variable aperture 14. Wνμ(z) is a spot size at a point (far-field) away from the end face of the optical fiber to be tested 10 by a distance z, and is expressed by the following equation.
At this time, the light intensity passing through the variable aperture 14 having the aperture angle α can be expressed by the following equation.
[Math. 9]
P(α, k)=∫02π∫0α(Ef01+Ef11)RdRdϕ (9)
The spot size w11 in which a square error between an electric field spread calculated value Dcalc(k), obtained by substituting the test wavelength, the measured mode field diameter of the LP01 mode, and k in a set of simultaneous equations (2) and (6) to (9), and a measured electric field spread value Dmeasure(k) is minimum is found, and the w11 is set to the mode field diameter of the LP11 mode.
The electric field spread calculated value Dcalc(k) is calculated as follows.
First, in the LP01 mode, W01(z) is calculated by substituting the value of D(0) obtained by calculating Equation (2) with k=0 into wνμ of Equation (8). For the LP11, z and w11 are set as parameters and W11(z) is set.
W01(z) and W11(z) obtained here are substituted into equations (6) and (7), respectively, to obtain electric field distributions Ef01 and Ef11 in the far field.
Electric field distributions Ef01 and Ef11 are substituted into Equation (9), an integral value of α(=0) from zero to θmax is obtained, and calculated values of light intensities P(θ, k) and P(θmax, k) are obtained.
By substituting this calculated value into Equation (2), an electric field spread calculated value Dcalc(k) can be obtained.
This mode field diameter measurement method is also a mode field diameter measurement method for measuring a mode field diameter of an optical fiber to be tested, which is capable of propagating LP01 mode and LP11 mode, by a variable aperture (VA) method.
The configuration of the mode field diameter measurement device that implements the second mode field diameter measurement method is the same as the configuration of the mode field diameter measurement device described with reference to
This mode field diameter measurement method includes:
Details will be described below.
This step is a test light excitation procedure of exciting the LP01 mode to the optical fiber to be tested 10. For example, the mode filter 13 is used to remove a higher order mode or a clad mode other than the LP01 mode.
This step is a light intensity measurement procedure of measuring, by the light receiver 16, light intensity of output light (LP01 mode) from the other end passing through an aperture 14 whose center is installed on the central axis of the other end of the optical fiber to be tested 10, during a change in an aperture angle θ with respect to a central axis of the other end of the aperture 14. As the light intensity with respect to the aperture angle θ, for example, a curve α such as a graph ga is obtained.
This step is a test light excitation procedure of exciting the LP01 mode and the LP11 mode to the optical fiber to be tested 10. For example, the mode filter 13 is used to remove a higher order mode or a clad mode other than the LP01 mode and the LP11 mode.
This step is a light intensity measurement procedure of measuring, by the light receiver 16, light intensity of output light (LP01 mode and LP11 mode are mixed) from the other end passing through an aperture 14 whose center is installed on the central axis of the other end of the optical fiber to be tested 10, during a change in an aperture angle θ with respect to a central axis of the other end of the aperture 14. As the light intensity with respect to the aperture angle θ, for example, a curve β such as a graph gb is obtained.
The curve β obtained in step S24 is obtained by adding the aperture angle dependency (curve α) of the light intensity of the LP01 mode and the aperture angle dependency (curve γ) of the light intensity of the LP11 mode. Therefore, in this step, the curve α is subtracted from the curve β to calculate the aperture angle dependency (curve γ) of the light intensity of the LP11 mode.
In this step, the electric field spread value for calculating the electric field spread value is calculated using the aperture angle dependency (curve γ) of the light intensity of the LP11 mode calculated in step S25 and the above-described Equation (1). Since the curve γ calculated in step S25 is the light intensity of only the LP11 mode, the electric field spread value calculated in this step is the mode field diameter w11 of the LP11 mode.
The mode field diameter measurement method described in the first and second embodiments can measure a mode field diameter in an optical fiber, which is capable of propagating a fundamental mode (LP01 mode) and a first higher order mode (LP11 mode), without using a mode multiplexer.
Filing Document | Filing Date | Country | Kind |
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PCT/JP2021/015415 | 4/14/2021 | WO |