Optical transmission system
10705291 ยท 2020-07-07
Assignee
Inventors
- Azusa Urushibara (Tsukuba, JP)
- Takayoshi Mori (Tsukuba, JP)
- Taiji Sakamoto (Tsukuba, JP)
- Masaki Wada (Tsukuba, JP)
- Takashi Yamamoto (Tsukuba, JP)
- Kazuhide Nakajima (Tsukuba, JP)
Cpc classification
G02B6/44
PHYSICS
International classification
G02B6/44
PHYSICS
Abstract
An optical transmission system according to the present disclosure is a mode multiplexed optical transmission system using a multi-mode optical fiber in which a plurality of propagation modes propagate as a transmission line, the optical transmission system including an optical fiber transmission line (83) that includes an optical fiber with two or more propagation modes; and a plurality of mode converters (91) that are configured to generate mode coupling between at least one pair of the propagation modes, in which a variation in an installation interval of the plurality of mode converters (91) is equal to or less than a threshold value determined by the transmission line length (Lt) of the optical fiber transmission line (83).
Claims
1. An optical transmission system comprising: an optical fiber transmission line that includes an optical fiber with two or more propagation modes; and a plurality of mode converters that are configured to generate mode coupling between at least one pair of the propagation modes, wherein a variation in installation intervals of the plurality of mode converters is equal to or less than a threshold value determined by a transmission line length of the optical fiber transmission line, wherein a transmission line length of the optical fiber transmission line is Lt, a converter length of the mode converter is Lg, and the number of the mode converters are n, wherein in a case where the transmission line length Lt includes the converter length Lg, standard deviation of an installation interval of the mode converter is equal to or less than a value expressed by a following expression (C1), and wherein a relative value of a group delay spread of the optical fiber transmission line in where the mode converter is provided relative to a group delay spread of the optical fiber transmission line itself in where the mode converter is not provided is equal to or less than 0.5,
(L.sub.t.sub.i=1.sup.nL.sub.gi)/(n+1)0.4. (C1)
2. An optical transmission system comprising: an optical fiber transmission line that includes an optical fiber with two or more propagation modes; and a plurality of mode converters that are configured to generate mode coupling between at least one pair of the propagation modes, wherein a transmission line length of the optical fiber transmission line is Lt, a converter length of the mode converter is Lg, and the numbers of the mode converters are n, wherein in a case where the transmission line length Lt does not include the converter length Lg, standard deviation of an installation interval of the mode converter is equal to or less than a value expressed by a following expression (C2), and wherein a relative value of a group delay spread of the optical fiber transmission line in where the mode converter is provided relative to a group delay spread of the optical fiber transmission line itself in where the mode converter is not provided is equal to or less than 0.5,
Lt/(n+1)0.4. (C2)
3. An optical transmission system comprising: an optical fiber transmission line that includes an optical fiber with two or more propagation modes; and a plurality of mode converters that are configured to generate mode coupling between at least one pair of the propagation modes, wherein a variation in installation intervals of the plurality of mode converters is equal to or less than a threshold value determined by a transmission line length of the optical fiber transmission line, and wherein a sum of the coupling amount of mode coupling of the plurality of mode converters is larger than a threshold value determined by a group delay difference between the propagation modes of the optical fiber transmission line.
4. The optical transmission system according to claim 1, wherein an optical fiber having a grating pitch corresponding to a propagation constant difference between the propagation modes in a longitudinal direction is used for the mode converter.
5. The optical transmission system according to claim 2, wherein an optical fiber having a grating pitch corresponding to a propagation constant difference between the propagation modes in a longitudinal direction is used for the mode converter.
6. The optical transmission system according to claim 3, wherein an optical fiber having a grating pitch corresponding to a propagation constant difference between the propagation modes in a longitudinal direction is used for the mode converter.
7. The optical transmission system according to claim 1, the numbers of the mode converters are equal to or more than 30.
8. The optical transmission system according to claim 2, the numbers of the mode converters are equal to or more than 30.
9. The optical transmission system according to claim 3, the numbers of the mode converters are equal to or more than 30.
Description
BRIEF DESCRIPTION OF DRAWINGS
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DESCRIPTION OF EMBODIMENTS
(21) Hereinafter, embodiments of the present disclosure will be described in detail with reference to the accompanying drawings. The present disclosure is not limited to the embodiments described below. The embodiments are only examples, and the present disclosure can be implemented in various modified and improved forms based on knowledge of those skilled in the art. The same reference numerals in the present specification and drawings denote the same constituent elements.
First Embodiment
(22)
(23) It is assumed that the transmission line length of the optical fiber ransmission line 83 is Lt, the number of installed mode converters 91 in the entire optical fiber transmission line 83 is n, the length of each mode converter 91 is Lgi, and the coupling amount in each mode converter 91 is Ci. However, the coupling amount is an index indicating the degree of coupling with 1 as the maximum value. The coupling amount is set 1 for the case where 100% power shifts to the other mode, and is set to 0.5 for the case where 50% power shifts.
(24) In
(25) In
(26) However, even if the power changes by 100% in each mode converter 91, if a disturbance occurs in the optical fiber transmission line 83, a phase change and a power change between the degenerate modes occur, and the mode to be coupled is determined in each mode converter 91, so the GDS value can fluctuate. Therefore, how much the GDS relative value fluctuates due to disturbance with respect to the number n of converters in the optical fiber transmission line 83 is calculated.
(27) It is assumed that all installation intervals are constant and the LP01, LP11a, and LP11b modes propagate. In the electric field distribution in the LP11 mode due to disturbance, the LP11a mode may shift to the LP11b mode, so the power ratios of the LP11a and LP11b modes are calculated to be randomly changed from the mode converter 91 to the next mode converter 91.
(28) Since mode coupling occurs in LP01 mode and only one of LP11a mode and LP11b mode in the mode converter 91, the power ratio between the LP11a and LP11b modes changes, so the coupling amount also changes. A similar calculation is performed 50 times, and the calculation results of the average value and the standard deviation of the GDS relative value are shown in
.sub.i=1.sup.nC.sub.1>30(1)
(29) Next, the situation is considered where the installation intervals are not constant. Although it is preferable that the mode converters 91 are disposed at regular intervals, it is possible to obtain the effect of reducing the inter-mode propagation time difference even in a case where the installation interval is not an equal interval. Since the region in which the inter-mode propagation delay difference spreads is considered as a part where the mode converter 91 is not installed in the optical fiber transmission line 83, the total length is expressed by Expression (2).
L.sub.t.sub.i=1.sup.nL.sub.gi(2)
(30) In a case where the total length is kept constant, the number n of converters is set to 30 which is the minimum value, and fluctuation occurs in each installation interval, how much fluctuation can be allowed is obtained in
(L.sub.t.sub.i=1.sup.nL.sub.gi)/(n+1)(3)
(31) The horizontal axis is a value obtained by dividing the standard deviation of fluctuation of installation interval by the average value. Although the relative value of GDS is not uniquely determined at a specific standard deviation value, it is found that when the standard deviation/average value is roughly 0.4 or less, the relative value of GDS is 0.5 or less. Therefore, in a case where the transmission line length Lt includes the converter length Lg, an effect of halving the relative value of the GDS can be expected by suppressing the standard deviation of the installation interval to Expression (4) or less.
(L.sub.t.sub.i=1.sup.nL.sub.gi)/(n+1)0.4(4)
(32) In the case where the mode converter 91 is inserted in the optical fiber transmission line 83 as shown in
Lt/(n+1)0.4(5)
(33) An optical fiber having a grating pitch corresponding to the propagation constant difference between the propagation modes in the longitudinal direction may be used for the mode converter 91 described above. Specifically, the present disclosure uses a long period grating (LPG) for the mode converter. The specific structure of the LPG will be described later with reference to
(34) Ideally, in order to convert two modes, it is necessary to use an LPG having a concave-convex interval of 2/ corresponding to the propagation constant difference between the two modes. However, the concave-convex interval of the LPG actually used may deviate from 2/ some cases. Therefore, in the present invention, the length corresponding to 2/ is defined as the coupling pitch, and the concave-convex interval of the LPG actually installed is defined as the grating pitch. With respect to a higher-order mode with a large propagation constant difference, an LPG with a narrow grating pitch width corresponding to the propagation constant difference is installed.
(35) The refractive index profile of the optical fiber may be selected from a step index type, a graded index type, a multi-step type, a ring type and the like as long as it can propagate a plurality of modes.
(36)
(37) As described in Non-Patent Document 6, since the number of concavity and convexity of the LPG which is generally used as a mode converter is about 50, the maximum value of concavity and convexity of the LPG is set to 50 here. However, the mode converter 91 in which the number of concavity and convexity in the LPG lasts longer than 50 can also be installed in the optical transmission system according to the present disclosure. In this case, it is assumed that the number n of converters obtained by dividing the number of concavity and convexity by 50 is placed. Further, a situation where the LPG is pressed over the entire optical fiber transmission line 83 is also included.
(38) Further, by using the LPG for the mode converter 91, it is possible to reduce a mode dependent loss (MDL) and an inter-signal quality difference Q other than GDS.
(39)
(40) As shown in
Second Embodiment
(41) In the present embodiment, a preferable example of the number of concavity and convexity and the coupling amount in each concavity and convexity in a case where an LPG is used for the mode converter 91 will be described. For example, for an LPG with 50 concavity and convexity, the necessary coupling amount per one concavity and convexity is shown.
(42) The number of concavity and convexity in an LPG and the electric field amplitudes un and vn after passing through the LPG with respect to the electric field amplitudes u0 and v0 of the input signal are expressed by the relationship of Expression (6) learned from Non-Patent Document 7.
(43)
(44) However, is the coupling amount per one concavity and convexity (0<<1), and the number of concavity and convexity (ncc) is the number of concavity and convexity.
(45) The calculation result of un and vn with respect to the value of is shown in
(46) As shown in
Third Embodiment
(47) For the optical fiber transmission line 83 in the third embodiment, a low GDS fiber, a ring core fiber which is likely to be coupled, a tension imparting fiber, a GDS compensation transmission line, and the like can be used in combination with each other. In this case, it is possible to expect an effect of reducing propagation time difference between the modes by pressing the LPG, and it is possible to provide an optical transmission system that can transmit with very low signal processing load.
(48) Even in the optical fiber transmission line 83 in the present embodiment, it is preferable to use an LPG for the mode converter 91, and apply the number of concavity and convexity and the coupling amount in each concavity and convexity described in the second embodiment.
Fourth Embodiment
(49) In the above-described embodiments, in a case where LPG is used for the mode converter 91, the concavity and convexity of the LPG pressed against the optical fiber may have any shape such as a rectangle, a trapezoid, a triangle, a sine wave shape, an arc shape, or the like. If the concavity and convexity of the LPG is periodic, the functions and effects explained in the first and second embodiments can be obtained.
Fifth Embodiment
(50) In the above-described embodiments, an example in which the mode converter 91 is a long period grating is shown, but the mode coupling in the mode converter 91 is not limited to a pressing-type grating. For example, a refractive index change may be given to an optical fiber by using a CO2 laser, a UV laser or the like, or periodic bending may be applied to an optical fiber.
(51) The bending may be applied to the optical fiber in any method. For example,
Sixth Embodiment
(52) There is a method of reducing the GDS by, for example, coupling between modes with the largest GDS of the optical fiber in order to reduce the GDS, when the number of propagation modes of the optical fiber transmission line 83 is set to N. In order to obtain a larger GDS reduction effect by coupling other modes, a grating with a plurality of grating pitches is required as necessary. Further, a higher GDS reduction effect can be expected by similarly applying a grating with a plurality of grating pitches even in the case of multiplexing and transmitting wavelengths.
(53)
(54)
Seventh Embodiment
(55) The period of the LPG applied to the optical fiber transmission line 83 does not necessarily have to be a length corresponding to 2/ using the propagation constant difference between modes propagating through the optical fiber and the coupling condition is eased a little. In general, the strength of mode coupling is expressed by Expression (7).
(56)
(57) However, in a case where the propagation constant differences of model and mode m are 1 and m and the grating pitch of the ideal structural change is 2(1m) which is the coupling pitch, the period of the structural change given to the optical fiber is 2/ and the total length of the structural change is L. In the step index fiber having a core radius of 12 m and 0.4%, in a case where in the LP01 mode at the wavelength of 1550 nm is 1 and m the LP11 mode is m, the strength of coupling between the LP01 mode and the LP11 mode is represented as shown in
(58) The deviation pitch of the grating pitch is expressed by Expression (8) by using the structure period of the LPG actually applied and the coupling pitch corresponding to between the LP01 and LP11 modes.
(59)
(60) In the plot G0 when pitch is 0, the coupling pitch corresponding to between propagation modes and the period of the LPG applied to the optical fiber match, so the longer the LPG length L, the stronger the strength of mode coupling. Although an ideal grating pitch is 1633 m, when a deviation of 10 m is given to the grating pitch, as shown in plot G10, when the LPG length is short can be approximated to a plot G0 with pitch=0, but as the LPG length becomes longer, the value of decreases, the plot G20 with a deviation of 20 m and the plot G30 with a deviation of 30 m can be approximated only when L is small. From this, it is understood that the shorter the length L, the more ideal is obtained with respect to the grating pitch deviation, and the larger the grating pitch deviation is, the shorter the L is required. The range in which these curves can be regarded as approximately equal to the plot with pitch=0 is expressed by Expression (9).
(61)
(62)
(63) As shown in
Eighth Embodiment
(64) When a graded index (GI) fiber is used as the optical fiber transmission line 83, it is possible to generate inter-mode coupling of a plurality of modes with one type of grating pitch. As shown in
INDUSTRIAL APPLICABILITY
(65) According to the present disclosure, it is possible to realize optical fiber transmission of a large capacity and long distance by utilizing a higher-order mode of the fiber.
REFERENCE SIGNS LIST
(66) 81: TRANSMITTER 82: FIR EQUALIZER 83: OPTICAL FIBER TRANSMISSION 831: OPTICAL FIBER 832: CORE 833: OPTICAL FIBER COATING 834: CONCAVITY AND CONVEXITY 835: GRATING PLATE 84: MODE MULTIPLEXER 85: MODE DEMULTIPLEXER 91: MODE CONVERTER