CN114942490B - Multi-cladding step optical fiber design method based on characteristic matrix - Google Patents
Multi-cladding step optical fiber design method based on characteristic matrix Download PDFInfo
- Publication number
- CN114942490B CN114942490B CN202210348354.XA CN202210348354A CN114942490B CN 114942490 B CN114942490 B CN 114942490B CN 202210348354 A CN202210348354 A CN 202210348354A CN 114942490 B CN114942490 B CN 114942490B
- Authority
- CN
- China
- Prior art keywords
- refractive index
- matrix
- propagation constant
- optical fiber
- mode
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Active
Links
Images
Classifications
-
- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B6/00—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings
- G02B6/02—Optical fibres with cladding with or without a coating
- G02B6/036—Optical fibres with cladding with or without a coating core or cladding comprising multiple layers
-
- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B6/00—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings
- G02B6/02—Optical fibres with cladding with or without a coating
Landscapes
- Physics & Mathematics (AREA)
- General Physics & Mathematics (AREA)
- Optics & Photonics (AREA)
- Optical Couplings Of Light Guides (AREA)
- Lasers (AREA)
Abstract
The invention discloses a multi-cladding step optical fiber design method based on a characteristic matrix. The method comprises the following steps: 1) Inputting calculation parameters of an initial structure of the optical fiber; 2) Discrete sampling is carried out in the effective propagation constant calculation range determined according to the refractive index of the fiber core and the refractive index of the outermost cladding, and an effective propagation constant sampling value is obtained; 3) Determining a segment boundary according to the number of claddings; for each effective propagation constant sampling value, calculating the normalization parameters of the corresponding refractive index layers; 4) Constructing an oscillation submatrix or an attenuation submatrix of each effective propagation constant sampling value in the optical fiber; 5) Constructing a characteristic matrix according to the oscillator sub-matrix and the attenuator sub-matrix; 6) When the determinant value of the characteristic matrix is solved to be 0, the constant value is effectively propagated; 7) Calculating equivalent refractive indexes corresponding to effective propagation constant values under different mode orders; 8) And (4) the obtained equivalent refractive index is substituted back into the characteristic matrix to obtain an equation set of the corresponding mode, and the mode field distribution in the optical fiber under each corresponding mode is obtained through calculation.
Description
Technical Field
The invention relates to the field of simulation and the field of optical fiber design, in particular to a multi-cladding step type optical fiber mode characteristic equation matrix solving method.
Background
The Step Index Fiber (SIF) has a simple structure and is easy to draw, and the SIF-based optical Fiber device manufacturing process and technology are mature. In the aspect of application, most of the existing near-diffraction limit high-power fiber lasers are realized based on SIF, SIF fibers adopted by the high-average-power high-beam-quality fiber lasers are not strict single-mode fibers generally, but few-mode fibers with certain mode quantity are supported, the beam quality is determined by the components of a fundamental mode and a high-order mode in an output beam, so that the mode precision control needs to be carried out on a multi-cladding step-type fiber structure, and the improved SIF design of the multi-cladding structure becomes a research hotspot in the field of fiber design.
In the current optical fiber structure design, for a single-cladding optical fiber, no matter a scalar mode or a vector mode is calculated, an analytic form is mostly adopted, and a common numerical method for solving a root is combined with an equation to solve the root. For a triple-clad fiber with a 'W' type structure as shown in fig. 1 or a fiber with more clad structures, the derivation and derivation process of the analytical form of the characteristic equation becomes complicated. In specific applications such as fiber lasers/amplifiers, fiber communication systems, etc., in order to meet the requirements of a fiber such as a larger mode field diameter, a higher sustainable power, a better output beam quality, and a low loss, the fiber structure needs to be precisely controlled. Most of the existing methods for designing multi-clad fibers are based on calculation of specific cladding refractive index distribution or design based on experience. The corresponding relation between linear polarization and a vector mode is utilized for specific cladding refractive index distribution, the effective refractive index or the propagation constant of an LP mode replaces the corresponding vector mode, the calculation result is very inaccurate, the design freedom degree is not high, and the applicability is not strong. The method for adjusting the number of optical fiber layers and calculating the mode by using experience is too complicated, needs to occupy a large amount of time and cost to optimize the method, and is difficult to obtain parameters meeting the requirements.
Disclosure of Invention
The invention provides a multi-cladding step optical fiber design method based on a characteristic matrix, aiming at solving the problems of long time consumption, poor expandability and convenience and higher complexity of the multi-cladding optical fiber design in the background technology on the design of an optical fiber with optimal performance in a specific application scene.
The method comprises the following steps:
1) Inputting calculation parameters of the initial structure of the optical fiber, including the working wavelength lambda and the refraction from the fiber core to the outermost claddingRatio, radius, etc. If the core and each cladding are collectively referred to as the refractive index layer of the optical fiber, the total number of layers is N, and the radii of the layers are r in order 1 ,r 2 ,…,r i ,…,r N Expressed by the refractive index values n 1 ,n 2 ,…,n j ,…,n N And (4) showing. Where the radius ordinal number is denoted by the index i and the refractive index is denoted by the index j.
2) And determining the effective propagation constant range according to the refractive index of the fiber core and the refractive index of the outermost cladding. The effective propagation constant range is between the propagation constant of the outermost cladding and the propagation constant of the fiber core, sampling is performed according to linear dispersion, Z is the total number of sampling points, and each point is marked as beta = beta 1 ,β 2 ,β 3 ,…β t …β Z Where t represents the ordinal number of the sample point.
3) For beta t And calculating the normalized transverse phase parameter or the normalized attenuation parameter of each refractive index layer. Definition of
Normalized transverse phase parameter or normalized attenuation parameter corresponding to the j-th refractive index layer, wherein k 0 Is the wave vector in vacuum, n j Is the refractive index of the refractive index layer, beta t Is the sampled value of the effective constant in step 2. When (k) 0 n j ) 2 -β t 2 > 0, fiber mode has an oscillatory solution at this layer, f j Is the normalized transverse phase parameter of the layer; when (k) 0 n j ) 2 -β t 2 < 0, the fiber mode has attenuation solution at this layer, f j Is the normalized lateral attenuation parameter for that layer. For each refractive index layer, according to the refractive index of each refractive index layer of the set optical fiber, the normalized transverse parameter is f 1 ,f 2 ,…,f j ,…,f N 。
4) Construction of the model for beta according to the mode calculation method (vector norm/scalar norm) t Each of the oscillator submatrix and the attenuator submatrix. Scalar modulo Using LP mn (m =0,1,2 …) and the vector mode uses TE 0n 、TE 0n (m＝0)、HE mn 、EH mn (m =1,2 …). The mode order m represents the mode number in the circumferential direction of the optical fiber mode, the root number n represents the mode number in the radial direction of the optical fiber, and the two are used as subscripts to name the optical fiber mode. Wherein the mode order m is numerically equal to the order of the bessel function in the following.
For beta t Comprises an oscillation solution sub-matrix or attenuation sub-matrix of the respective fiber refractive index layer. Within each fiber index layer, β t The size of the value determines whether an oscillatory submatrix or an oscillatory submatrix is constructed at that layer. When (k) 0 n j ) 2 -β t 2 When the value is more than 0, constructing an oscillatory submatrix of the layer; when (k) 0 n j ) 2 -β t 2 < 0, constructing the attenuator matrix of the layer. The oscillator matrix is the order m (m =0,1,2 …) of the Bessel function and the radius r of each refractive index layer of the optical fiber i Normalized transverse parameter f j Bessel function J of the first kind m And a second type of modified Bessel function N m Of the matrix of (a). The attenuation submatrix is related to the order m of the Bessel function and the radius r of each refractive index layer of the optical fiber i Normalized transverse phase parameter or normalized transverse attenuation parameter f j Modified Bessel function K of the first kind m And a Bessel function I of the second kind m Of the matrix of (a). When scalar mode is considered, the fiber core oscillation submatrix and the outmost cladding attenuation submatrix are 2 multiplied by 1 matrixes, and the characteristic forms are respectively as follows:
in the non-outermost cladding layer, the oscillator sub-matrix or the attenuator sub-matrix formed by the middle cladding layer is a 2 x 2 matrix, and the characteristic forms of the oscillator sub-matrix or the attenuator sub-matrix are respectively as follows:
when the vector mode is considered, the treatment method is the same as the treatment method of the scalar mode fiber core, the outermost layer cladding and the non-outermost layer cladding. The fiber core oscillator sub-matrix and the outmost cladding attenuator matrix are 4 multiplied by 2 matrixes, and the characteristic forms of the fiber core oscillator sub-matrix and the outmost cladding attenuator matrix are respectively as follows:
where ω is the circular frequency, ω =2 π c/λ, c is the propagation velocity of light in vacuum, ε 0 、μ 0 Is dielectric constant, magnetic permeability in vacuum j Is a refractive index dependent dielectric constant, ε j ＝ε 0 n j 2 。
The oscillator sub-matrix or the attenuator sub-matrix formed by the middle cladding is a 4 x 4 matrix, and the characteristic forms are respectively as follows:
5) And constructing a characteristic matrix which is composed of an oscillation submatrix and an attenuation submatrix.
And (5) combining the characteristic matrix of the optical fiber by using the oscillation submatrix or the attenuation submatrix obtained in the step (4) as a block matrix. The number of the oscillation/attenuation submatrices is determined by the total number of refractive index layers of the optical fiber, and the core and the outermost layer are wrappedThe number of the sub-matrixes is two in the non-outermost layer, and the characteristic matrixes can be obtained by combining all the matrixes. Feature matrix
The combination form of (A) is as follows:
wherein the "/" symbol in the determinant represents a logical OR relationship, specifically selecting the matrix A ij Or matrix B ij Depending on the magnitude of its refractive index, when k 0 n j ≥β t Taking an oscillator matrix A i,j When k is 0 n j ＜β t Taking an attenuator matrix B i,j 。
6) The steps (3) to (5) are repeated to obtain the number of fiber modes existing and the propagation constant corresponding to each bessel function order m (m =0,1,2 …).
When the fiber mode exists, the determinant corresponding to the feature matrix must be zero. It can be deduced that there are some propagation constants
Can be made zero, the propagation constant->
The corresponding fiber mode may be transmitted in the optical fiber. Therefore, the solution propagation constant ≦>
Comprises the following steps: (1) determining each beta in turn t The values of the corresponding characteristic matrix determinant are found by the zero point existence theorem for intervals in which all the values satisfying the determinant can exist zero points, and for example, if there are G intervals satisfying the existence of zero points, each of the intervals is expressed as (β) g ,β g+1 ) G is the ordinal number of solution interval, g =1,2,3, …G; (2) adopting discrete numerical method such as Newton method in all the intervals (beta) satisfying the condition g ,β g+1 ) A numerical solution is found that can make the determinant of the feature matrix 0. Assuming that the number of numerical solutions that can exist in the optical fiber mode is x, the propagation constant corresponding to each numerical solution is recorded as
T represents the ordinal number of the numerical solution.
7) For optical fiber mode according to mode order m pairs
The values are ordered and named in the order from big to small, and the equivalent refractive index of a scalar mode or a vector mode is further calculated.
Increase by n by a value beta T Decrease; the vector mode is represented by TE mode, TM mode, EH mode, HE mode, and when m =0, TE can be obtained by calculation 0n And TM 0n Of modes
Value, increasing with n->
The value increases, and TE 0n Has a beta value slightly larger than TM 0n Is/are>
The value is obtained. When m ≠ 0, EH can be calculated ln And HE ln The value of the mode is increased with n>
Increase in value, HE ln Is/are>
Value slightly greater than EH ln Is/are>
A value; equivalent refractive index n eff Propagation constant +>
The relationship of sum is: />
8) And obtaining the mode field distribution of each optical fiber mode in the optical fiber.
The propagation constant of each mode is solved as step 7
And then, sequentially substituting the characteristic matrixes back into the characteristic matrix shown in the formula (9) in the step 5). If scalar method is used, the characteristic matrix is 2 (N-1) multiplied by 2 (N-1) order matrix; if vectorial, the feature matrix is a 4 (N-1). Times.4 (N-1) order matrix. For scalar mode, the set of characteristic equations for each mode ≧>
As shown in equation (10):
wherein C is k Is (k =1,2,3.. 2N-1) each term bessel function coefficient in the electric field component. C 1 Coefficient of Bessel function, C, of electric field component of core 2N-1 Coefficient of Bessel function of electric field component of outermost cladding, C in the middle k The Bessel function coefficients of the non-outermost cladding are respectively Bessel function coefficients of electric field components in sequence from the inside to the outside in every 2 groups. Order to
Can determine different propagation constants->
Corresponding electric field component C k . So far the present invention has obtained a correspondence to a fiber mode>
The electric field component expression coefficients are substituted into the electric field component expression to obtain the mode field distribution of the optical fiber mode in the optical fiber.
The solution of the vector solution is similar to the above, and the propagation constant of each mode is measured
And (5) back substituting the feature matrix shown in the formula (9). For vector mode, the set of characteristic equations for each mode +>
As shown in formula (11):
at this time, C k Is (k =1,2,3.. 4N-1) the Bessel function coefficients, C, in the electric and magnetic field components 1 Coefficient of Bessel function, C, being the electric field component of the core 2 Coefficient of Bessel function, C, of magnetic field component of core 4(N-1)-1 Coefficient of Bessel function, C, being the electric field component of the outermost cladding 4(N-1) Is the Bezier function coefficient of the magnetic field component of the outermost cladding. Intermediate C k The Bezier function coefficients of the non-outermost cladding are set into 4 groups, the first 2 of each group are the Bezier function coefficients of the electric field components of the inner cladding in sequence from the fiber core to the outer cladding, and the last 2 are the Bezier function coefficients of the magnetic field components of the inner cladding. Order to
Can determine different propagation constants->
Corresponding electric and magnetic field components C k . So far the present invention has obtained a fiber mode corresponding to >>
The electric field component expression coefficients are substituted into the electric field component expression to obtain the vector mode field distribution of the optical fiber mode in the optical fiber.
After the equivalent refractive index and the propagation constant of the optical fiber and each transmission mode of the optical fiber are calculated, the method can be used as a theoretical basis for calculating the mode field diameter, the insertion loss, the cut-off wavelength and the optical fiber dispersion of the optical fiber in the next step. A variety of different multi-clad fiber designs are provided by single mode/few mode fiber laser/amplifier systems.
Compared with the prior art, the multi-cladding step optical fiber design method based on the characteristic matrix comprises the following steps:
(1) the calculation speed is fast, the precision is high, and the reliability is high.
(2) The number of layers of the multi-clad optical fiber can be set at will, the fiber core and the cladding are flexible in design, and customized design schemes can be provided for various application fields.
(3) The invention can provide theoretical support for the optical fiber design scheme of the current high-power optical fiber laser/amplifier project, can perform analog calculation on the characteristics of the optical fiber laser/amplifier before the experiment, and saves precious research and development time and research and development expenses.
(4) The design method has the advantages of high operation speed, good robustness, no need of repeatedly compiling codes, strong adaptability, better expandability and convenience, and can be used for custom designing different types of multi-clad optical fibers for different application scenes.
Drawings
FIG. 1 shows the geometry and refractive index profile of a "W" -shaped triple-clad fiber;
(a) A transverse cross-sectional view of the optical fiber; (b) the optical fiber is arranged in the radial direction refractive index distribution of (a); (c) a cross-sectional view of the optical fiber in the radial direction.
Fig. 2 shows the mode field distribution image of the three-clad fiber partial mode obtained after the solution.
FIG. 3 is a schematic step diagram illustrating a method for designing a multi-clad step fiber based on a feature matrix.
Detailed Description
For clearly showing the objects, technical solutions and advantages of the present invention, the following detailed description of the embodiments of the present invention will be made with reference to the accompanying drawings and examples.
In one embodiment, the multi-clad structure design approach is similarly scalable, taking the "W" type triple clad fiber design as an example. The present invention calculates the LP mode of the fiber from the fiber parameters given in table 1, and the fiber geometry and refractive index profile are shown in fig. 1.
TABLE 1 triple clad fiber parameters
The method flow of the invention is shown in fig. 3, and the steps comprise:
(1) Inputting calculation parameters of an initial structure of an optical fiber, wherein the calculation parameters comprise 1) a working wavelength lambda; 2) The radius of the core and each cladding; 3) The number N of refractive index layers of the optical fiber; 4) Refractive index of the core and each cladding.
(2) And determining an effective propagation constant calculation range according to the refractive index of the fiber core and the refractive index of the outermost cladding, wherein the effective propagation constant range is between the propagation constant of the outermost cladding and the propagation constant of the fiber core. The effective propagation constant beta is sampled according to linear discrete sampling, and the influence of the number of stable solutions and the solving efficiency is balanced by adopting dense sampling and then gradual sparse sampling.
(3) Determining segment boundaries according to the number of claddings, taking effective propagation constant sampling values in the order from small to large, calculating the frequency of each segment corresponding to the sampling values, and taking the absolute value f of the frequency 1 ,f 2 ,…,f j ,…,f N 。
(4) And selecting a standard vector method or a vector method for solving the distribution of the model field. If scalar method is used, the feature matrix is 2 (N-1) multiplied by 2 (N-1) order matrix; if vectorial, the feature matrix is a 4 (N-1). Times.4 (N-1) order matrix.
(5) And constructing a characteristic matrix which is composed of an oscillation submatrix and an attenuation submatrix. The effective propagation constant samples are taken in order of magnitude. Comparing the sampling value with the propagation constants of the fiber core and each cladding layer one by one, and constructing an oscillator matrix when the sampling value is greater than the propagation constant of the fiber core/the cladding layer; when the sample value is less than the propagation constant of the core/cladding, an attenuator matrix is constructed. And forming a dual diagonal matrix by using the obtained oscillation/attenuation submatrices of each layer of the optical fiber, wherein the dual diagonal matrix is the characteristic matrix of the optical fiber.
(6) And when the determinant value of the solved feature matrix is 0, the variable effectively propagates the constant value. The characteristic matrix is a square matrix, and if a homogeneous equation set needs to have a non-zero solution, the determinant of the homogeneous equation set needs to be zero. The method for discretely solving the square Cheng Qiugen can adopt a discrete numerical method of solving a root by equations such as a dichotomy method, a Newton method and a chord-section method.
(7) And sequencing the effective propagation constant values according to different mode orders, and obtaining the equivalent refractive index of a scalar mode or a vector mode through formula conversion.
(8) And (4) substituting the equivalent refractive index into the characteristic matrix to obtain an equation set of a corresponding mode, and calculating the mode field distribution condition in the optical fiber in the mode. The fiber mode part results are shown in table 2. Through further calculation, information such as amplitude, light intensity, phase distribution, etc. of each mode can be obtained, which is shown in fig. 2.
TABLE 2 fiber mode part results
Although specific embodiments of the invention have been disclosed for purposes of illustration, and for purposes of aiding in the understanding of the contents of the invention and its implementation, those skilled in the art will appreciate that: various substitutions, changes and modifications are possible without departing from the spirit and scope of the present invention and the appended claims. Therefore, it is intended that the invention not be limited to the particular embodiment disclosed as the best mode contemplated for carrying out this invention, but that the invention will include all embodiments falling within the scope of the appended claims.
Claims (9)
1. A multi-cladding step optical fiber design method based on a characteristic matrix comprises the following steps:
1) Inputting calculation parameters of the initial structure of the optical fiber, wherein the calculation parameters comprise an operating wavelength lambda, the radius from the fiber core to each cladding, the refractive index of the fiber core and the refractive index of each cladding; the fiber core and each cladding are collectively called the refractive index layer of the optical fiber, the total number of the refractive index layers is N, and the radius from the fiber core to the outermost cladding is r 1 ,r 2 ,…,r i ,…,r N Expressed by the refractive index values n 1 ,n 2 ,…,n j ,…,n N Is represented by i Is the radius of the i-th refractive index layer, n j Is the refractive index of the jth refractive index layer;
2) Determining the effective propagation constant calculation range according to the refractive index of the fiber core and the refractive index of the outermost cladding; discrete sampling is carried out in the effective propagation constant calculation range to obtain an effective propagation constant beta sampling value which is recorded as beta = beta 1 ,β 2 ,β 3 ,…β t …β Z (ii) a Wherein, beta t The value is the t effective propagation constant sampling value, and Z is the total number of sampling points;
3) Determining a segment boundary according to the number of claddings; for each effective propagation constant sampling value, calculating the normalized transverse phase parameter or normalized transverse attenuation parameter of each refractive index layer corresponding to the effective propagation constant sampling value, and marking as f 1 ,f 2 ,…,f j ,…,f N ；
4) Constructing an oscillation submatrix or an attenuation submatrix of each effective propagation constant sampling value in the designed optical fiber;
5) Constructing a characteristic matrix of the designed optical fiber according to the oscillator matrix and the attenuator matrix;
6) When the determinant value of the solved feature matrix is 0, the effective propagation constant value
7) Calculating effective propagation constant values at different mode orders
Corresponding equivalent refractive index n eff ；
8) The obtained equivalent refractive index n eff And (4) substituting the characteristic matrix to obtain an equation set of the corresponding mode, and calculating to obtain the mode field distribution in the optical fiber under each corresponding mode.
2. The method of claim 1, wherein the effective propagation constant sample value is β t Normalized transverse phase parameter or normalized transverse attenuation parameter of the j-th refractive index layer
Wherein k is 0 Is the wave vector in vacuum when (k) 0 n j ) 2 -β t 2 ＞0，f j To normalize the transverse phase parameter, when (k) 0 n j ) 2 -β t 2 ＜0，f j To normalize the lateral attenuation parameter.
3. The method of claim 2, wherein (k) is 0 n j ) 2 -β t 2 When the refractive index is more than 0, constructing an oscillator matrix of the jth refractive index layer; when (k) 0 n j ) 2 -β t 2 < 0, constructing an attenuator matrix for the j-th refractive index layer.
4. The method of claim 3, wherein the feature matrix is
Wherein the "/" symbol in the determinant represents a logical OR relationship when k is 0 n j ≥β t Taking an oscillator matrix A i,j When k is 0 n j ＜β t Taking an attenuator matrix B i,j 。
5. The method according to claim 4, wherein in the step 6), the effective propagation constant value is solved
Comprises the following steps: (1) successively finding each beta t Finding out intervals in which all values meeting the determinant have zero points by using the zero point existence theorem for the corresponding values of the characteristic matrix determinant; (2) solving the numerical solution with the determinant of 0 in all the intervals satisfying the condition by adopting a discrete numerical method
Where x is the number of numerical solutions for the presence of the fiber mode,
and solving the corresponding effective propagation constant value for the Tth numerical value.
6. The method of claim 1, wherein the mode field diameter, insertion loss, cut-off wavelength, and fiber dispersion of the designed fiber are determined according to the mode field distribution, thereby determining the application scenario of the designed fiber.
7. The method of claim 1, wherein discrete sampling is performed over the effective propagation constant calculation range.
8. A server, comprising a memory and a processor, the memory storing a computer program configured to be executed by the processor, the computer program comprising instructions for carrying out the steps of the method according to any one of claims 1 to 7.
9. A computer-readable storage medium, on which a computer program is stored, which, when being executed by a processor, carries out the steps of the method of any one of claims 1 to 7.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202210348354.XA CN114942490B (en) | 2022-04-01 | 2022-04-01 | Multi-cladding step optical fiber design method based on characteristic matrix |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202210348354.XA CN114942490B (en) | 2022-04-01 | 2022-04-01 | Multi-cladding step optical fiber design method based on characteristic matrix |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN114942490A CN114942490A (en) | 2022-08-26 |
| CN114942490B true CN114942490B (en) | 2023-03-24 |
Family
ID=82907662
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202210348354.XA Active CN114942490B (en) | 2022-04-01 | 2022-04-01 | Multi-cladding step optical fiber design method based on characteristic matrix |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN114942490B (en) |
Citations (12)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US4877304A (en) * | 1987-09-09 | 1989-10-31 | Corning Incorporated | Few-mode/single-mode fiber |
| CA2354783A1 (en) * | 2001-08-07 | 2003-02-07 | Institut National D'optique | Convex polygon-shaped all-glass multi-clad optical fiber and method of fabrication thereof |
| WO2010146792A1 (en) * | 2009-06-17 | 2010-12-23 | 株式会社フジクラ | Multiclad optical fiber, optical fiber module, fiber laser, and fiber amplifier |
| CN102004280A (en) * | 2009-09-01 | 2011-04-06 | 汪业衡 | Bandwidth optimized single mode fiber and target design method |
| CN103649797A (en) * | 2011-02-24 | 2014-03-19 | Ofs飞泰尔公司 | Step-index few-mode fiber deigns for spatial multiplexing |
| EP2749917A2 (en) * | 2012-12-28 | 2014-07-02 | Shin-Etsu Chemical Co., Ltd. | Optical fiber and optical fiber silica glass base material |
| JP2016218375A (en) * | 2015-05-26 | 2016-12-22 | 日本電信電話株式会社 | Multi-mode optical fiber, optical fiber transmission system, and design method of multi-mode optical fiber |
| CN110146953A (en) * | 2019-05-17 | 2019-08-20 | 西安理工大学 | Generate the photonic crystal fiber and design method of a variety of orbital angular momentum modes |
| CN111125899A (en) * | 2019-12-18 | 2020-05-08 | 中国科学院软件研究所 | Method for realizing fiber laser design through simulation |
| CN111999795A (en) * | 2020-07-27 | 2020-11-27 | 武汉光谷航天三江激光产业技术研究院有限公司 | High-power gain optical fiber capable of simultaneously inhibiting mode instability and nonlinear effect and design method |
| JP2021135179A (en) * | 2020-02-27 | 2021-09-13 | 日本電信電話株式会社 | Method and device for evaluating mode group delay characteristic of optical fiber |
| CN113552719A (en) * | 2021-07-29 | 2021-10-26 | 华中科技大学 | Multi-cladding optical fiber design method based on genetic algorithm |
-
2022
- 2022-04-01 CN CN202210348354.XA patent/CN114942490B/en active Active
Patent Citations (12)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US4877304A (en) * | 1987-09-09 | 1989-10-31 | Corning Incorporated | Few-mode/single-mode fiber |
| CA2354783A1 (en) * | 2001-08-07 | 2003-02-07 | Institut National D'optique | Convex polygon-shaped all-glass multi-clad optical fiber and method of fabrication thereof |
| WO2010146792A1 (en) * | 2009-06-17 | 2010-12-23 | 株式会社フジクラ | Multiclad optical fiber, optical fiber module, fiber laser, and fiber amplifier |
| CN102004280A (en) * | 2009-09-01 | 2011-04-06 | 汪业衡 | Bandwidth optimized single mode fiber and target design method |
| CN103649797A (en) * | 2011-02-24 | 2014-03-19 | Ofs飞泰尔公司 | Step-index few-mode fiber deigns for spatial multiplexing |
| EP2749917A2 (en) * | 2012-12-28 | 2014-07-02 | Shin-Etsu Chemical Co., Ltd. | Optical fiber and optical fiber silica glass base material |
| JP2016218375A (en) * | 2015-05-26 | 2016-12-22 | 日本電信電話株式会社 | Multi-mode optical fiber, optical fiber transmission system, and design method of multi-mode optical fiber |
| CN110146953A (en) * | 2019-05-17 | 2019-08-20 | 西安理工大学 | Generate the photonic crystal fiber and design method of a variety of orbital angular momentum modes |
| CN111125899A (en) * | 2019-12-18 | 2020-05-08 | 中国科学院软件研究所 | Method for realizing fiber laser design through simulation |
| JP2021135179A (en) * | 2020-02-27 | 2021-09-13 | 日本電信電話株式会社 | Method and device for evaluating mode group delay characteristic of optical fiber |
| CN111999795A (en) * | 2020-07-27 | 2020-11-27 | 武汉光谷航天三江激光产业技术研究院有限公司 | High-power gain optical fiber capable of simultaneously inhibiting mode instability and nonlinear effect and design method |
| CN113552719A (en) * | 2021-07-29 | 2021-10-26 | 华中科技大学 | Multi-cladding optical fiber design method based on genetic algorithm |
Non-Patent Citations (2)
| Title |
|---|
| Theoretical study of W-shaped optical fiber with a depression in core center by applying analytical transfer matrix method;JunAn Zhu et al.;《Optics Communications》;20110721;全文 * |
| 窄线宽脉冲光纤激光的自相位调制预补偿研究;粟荣涛 等;《物理学报》;20181231;第67卷(第16期);全文 * |
Also Published As
| Publication number | Publication date |
|---|---|
| CN114942490A (en) | 2022-08-26 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| Olshansky | Mode coupling effects in graded-index optical fibers | |
| Taylor | Power loss at directional change in dielectric waveguides | |
| Thyagarajan et al. | Accurate numerical method for the calculation of bending loss in optical waveguides using a matrix approach | |
| Arnaud | Mode coupling in first-order optics | |
| Buryak et al. | Comparison of inverse scattering algorithms for designing ultrabroadband fibre Bragg gratings | |
| Kamruzzaman et al. | Design of circular photonic crystal fiber for OAM extraction SDM applications | |
| Chen et al. | Mode transmission analysis method for photonic lantern based on FEM and local coupled mode theory | |
| CN114942490B (en) | Multi-cladding step optical fiber design method based on characteristic matrix | |
| Zhong et al. | Gap design to enable functionalities into nested antiresonant nodeless fiber based systems | |
| Francois et al. | Finite cladding effects in W fibers: a new interpretation of leaky modes | |
| Wang et al. | Modal analysis of homogeneous optical waveguides by the boundary integral formulation and the Nyström method | |
| Zhang et al. | Analysis and design of Bragg fibers using a novel confinement loss diagram approach | |
| Lu et al. | Unified approach for coupling to cladding and radiation modes in fiber Bragg and long-period gratings | |
| Mickelson et al. | Mode-dependent attenuation in optical fibers | |
| Koning et al. | Vector finite-element modeling of the full-wave Maxwell equations to evaluate power loss in bent optical fibers | |
| Dems | Convergence analysis of various factorization rules in the Fourier-Bessel basis for solving Maxwell equations using modal methods | |
| Lu et al. | A simple and effective method for calculating the bending loss and phase enhancement of a bent planar waveguide | |
| Wang et al. | Impacts of cavity losses on cw Raman fiber lasers | |
| CN117849941A (en) | Structural design method for graded-index optical fiber | |
| Morshed et al. | Bending characteristics of single mode-multimode-single mode optical fiber structures | |
| Probst et al. | Topology Optimized Integrated SiN Mode Converters | |
| Chiadini et al. | Variational analysis of matched-clad optical fibers | |
| CN114895462B (en) | Design method and device for reverse tapered wave conductor pattern in end face coupler | |
| Young et al. | Results and comparison of a cladding pumped fiber simulation using a decagon-shaped fiber | |
| Boucouvalas et al. | Design of planar waveguide directional couplers with arbitrary modal electric field |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant |