CN108227188A - A kind of complete random silica-based waveguides grating design method based on Chaos particle swarm optimization algorithm - Google Patents
A kind of complete random silica-based waveguides grating design method based on Chaos particle swarm optimization algorithm Download PDFInfo
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- CN108227188A CN108227188A CN201810089099.5A CN201810089099A CN108227188A CN 108227188 A CN108227188 A CN 108227188A CN 201810089099 A CN201810089099 A CN 201810089099A CN 108227188 A CN108227188 A CN 108227188A
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B27/00—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
- G02B27/0012—Optical design, e.g. procedures, algorithms, optimisation routines
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- G—PHYSICS
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- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B6/00—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings
- G02B6/10—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings of the optical waveguide type
- G02B6/12—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings of the optical waveguide type of the integrated circuit kind
- G02B6/12007—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings of the optical waveguide type of the integrated circuit kind forming wavelength selective elements, e.g. multiplexer, demultiplexer
- G02B6/12009—Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings of the optical waveguide type of the integrated circuit kind forming wavelength selective elements, e.g. multiplexer, demultiplexer comprising arrayed waveguide grating [AWG] devices, i.e. with a phased array of waveguides
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Abstract
A kind of complete random silica-based waveguides grating design method based on Chaos particle swarm optimization algorithm,It is by uniform grating design parameter non-homogenized,Grating overall variation is allowed to be designed as the variation of each period blocks,Coupling efficiency value in the case of each parameter is exactly the adaptive response in particle cluster algorithm,When population evolves to the next generation,Each particle can update oneself by tracking the two optimal solutions of pbest and gbest,When particle value gets boundary position,Make Chaos Variable processing,Realize global search function,Initial value is provided to a Chaos Variable,Pass through the iteration of chaos iteration equation,Generate one group of random sequence with ergodic and pseudo-randomness,The coupling efficiency standard of grating needed for setting,When particle group optimizing result reaches required standard,It is automatically stopped,At this moment the particle value corresponding to fitness is required design parameter value.The present invention realizes system and designs full directional scatter, can fast and effectively obtain the coupling efficiency of design parameter and grating.
Description
Technical field
The present invention relates to a kind of design methods for silica-based waveguides grating coupler part, belong to photonic device technology neck
Domain.
Background technology
The conventional discrete optical element with various functions is integrated into same optical substrate surface by integrated optical element,
And the said function of bulk optical system processing optical signal formed with multiple discrete optical elements.With conventional optics
It compares, integrated optical element has many advantages, such as small size, light-weight, small power consumption, reliability height, long lifespan.At present, Integrated Light
It learns element and plays highly important effect in the application fields such as communication, military affairs, electric power, astronomy, sensing.Especially in army
The application in thing field, with more the incomparable superiority of conventional optical system.
Optical waveguide is the important basic component of integrated optics, and light wave can be strapped in the medium of optical wavelength magnitude size by it
The transmission for loss that middle and long distance is radiationless.The essential difference of fiber waveguide device and conventional optics is wave travels in waveguide
Pattern be discrete.In waveguide, numerous different optical waveguide components are developed, waveguide optical grating is exactly most heavy
One of integrated optical element wanted.
Waveguide optical grating refers in waveguide light path, the optical parameter of the media such as clad, ducting layer or substrate of waveguide or
The light path system of regular mechanical periodicity is presented in the Size Distribution of waveguide.In optical waveguide, due to this periodic variation rule
Rule so that the light beam transmitted in the waveguide generates the very marvellous optical phenomenas such as deflection, dispersion, focusing.In integrated optics device
In part, one of main function of waveguide optical grating is exactly the coupling between implementation pattern.Waveguide grating coupler is exactly to utilize waveguide
Grating realizes the device of the input/output coupling of optical waveguide.Waveguide grating coupler has planar structure, small, light-weight
And the advantages that being easy to integrate with planar light waveguide.
The design parameter of grating directly affect it is involved go out grating coupling performance, for the grating coupling of general homogeneous texture
Clutch, design parameter is less, while it is too low to also result in coupling efficiency, and typically not greater than 30%, but for heterogeneous texture
Grating coupler, design parameter is too many, is difficult control for designer, and silicon-based devices manufacturing process is complicated, such as
Fruit design effect is undesirable, can increase a large amount of cost of manufacture.
Invention content
The present invention is for existing, it is therefore intended that proposition is a kind of not only can effectively to calculate design parameter, but also can ensure
The complete random silica-based waveguides grating design method based on Chaos particle swarm optimization algorithm of the high coupling efficiency of grating.
The present invention the complete random silica-based waveguides grating design method based on Chaos particle swarm optimization algorithm, be：
By uniform grating design parameter non-homogenized, grating overall variation is allowed to be designed as the variation of each period blocks, light
The length of grid protrusion is denoted as a, and the width of grating protrusion is denoted as c, and the length of sunk part is denoted as b, and the width of sunk part is denoted as
D, then the structural parameters of grating be expressed as etching depth d=c-d, periods lambda=a+b, duty ratio w/ Λ=b/a+b, entirely determine with
The design parameter of machine grating is ai,bi,ci,di(i=1,2 ..., n), wherein n is screen periods number；
Coupling efficiency value in the case of each parameter is exactly the adaptive response in particle cluster algorithm, in the case where population evolves to
During a generation, each particle can update oneself by tracking the two optimal solutions of pbest and gbest, and more new formula is as follows：
Wherein t represents t generations；α is weight coefficient, is the proportionality coefficient of present speed V (t), is taken random between [0,1]
Number；r1And r2It is the random number between [0,1], c1And c2It is Studying factors, influences the speed that population follows optimal solution, X (t
+ 1) it represents follow-on position, is that current location X (t) plus next generation speed V (t+1) are obtained；
When particle value gets boundary position, make Chaos Variable processing, utilize the pseudo-randomness of Chaos Variable, ergodic
Feature realizes global search function, provides initial value to a Chaos Variable, by the iteration of chaos iteration equation, generation has
One group of random sequence of ergodic and pseudo-randomness；
The coupling efficiency standard of grating needed for setting when particle group optimizing result reaches required standard, is automatically stopped, this
When fitness corresponding to particle value be required design parameter value.
The present invention is realized system and is designed full directional scatter using easy to operate, particle cluster algorithm that independence is strong, can be with
The coupling efficiency of design parameter and grating is effectively obtained, while being more than for this full directional scatter efficiency far generally uniformly ties
Structure grating can be quickly obtained design parameter, greatly improve working efficiency.
Description of the drawings
Fig. 1 is grating basic structure schematic diagram.
Fig. 2 is grating randomization schematic diagram.
Fig. 3 is Chaos particle swarm optimization algorithm flow chart.
Fig. 4 is grating coupling efficiency curve schematic diagram.
Specific embodiment
The complete random silica-based waveguides grating design method based on Chaos particle swarm optimization algorithm of the present invention, effectively can quickly set
Count full directional scatter.
By the basic structure of Fig. 1 gratings provided, it can be seen that the design parameter of uniform grating mainly includes etching depth
D, periods lambda and duty ratio w/ Λ, light source are input to the grating region of grating coupler by single mode optical fiber, pass through grating region
Incidence is optically coupled into the waveguide section of ducting layer by coupling.Incident light misfortune is closed into waveguide, needs to design grating week
Phase makes it meet phase-matching condition：
β is the propagation constant of silicon waveguide in formula, and m is diffraction progression, and the series of diffraction main pole maximum is -1, k0Represent waveguide
Laser by means of internal-reflection optical coupling coefficient, ncFor the refractive index of covering, θ is the incidence angle of incident light.It is flat that test is closed in the grating misfortune of actual test
In platform, from optical fiber with the incidence of oblique octave angle, similary emergent light is also received optical fiber with oblique octave angle and receives incident light.According to upper
Formula, it is assumed that incident wavelength 1310nm, waveguide length 10um, thickness 0.22um, number of cycles 20 can be estimated substantially
Go out an initial parameter for meeting coupling effect, the periods lambda of coupling grating is 630nm, duty ratio 50%, the etching of grating
Depth is 70nm, its corresponding coupling can be calculated by FDTD numerical simulations in Lumerical FDTD Solutions softwares
Close efficiency.
Such as Fig. 2, by uniform grating design parameter non-homogenized, grating overall variation is allowed to be designed as the change of each period blocks
Change, the length of grating protrusion is enabled to be denoted as a, wide to be denoted as c, the length of sunk part is denoted as b, wide to be denoted as d, then the structural parameters of grating
Etching depth d=c-d, periods lambda=a+b can be expressed as, duty ratio w/ Λ=b/a+b determine that the design of full directional scatter is joined
Number is ai,bi,ci,di(i=1,2 ..., n), wherein n is screen periods number.
Optimization for this large amount of unknown parameters, the present invention use Chaos particle swarm optimization algorithm, as shown in Figure 3.It is wherein every
Coupling efficiency value in the case of kind parameter is exactly the adaptive response in particle cluster algorithm, when population evolves to the next generation, often
A particle can update oneself by tracking pbest and gbest the two " optimal solutions ".More new formula is as follows：
Wherein t represents t generations；α is weight coefficient, is the proportionality coefficient of present speed V (t), is taken random between [0,1]
Number；r1And r2It is the random number between [0,1], c1And c2It is Studying factors, influences the speed that population follows optimal solution.X(t
+ 1) it represents follow-on position, is that current location X (t) plus next generation speed V (t+1) are obtained.It is but excessive to Optimal Parameters
When, local iteration is easily trapped into boundary, so when particle value gets boundary position, makees Chaos Variable processing to it, profit
The characteristics of with the pseudo-randomness of Chaos Variable, ergodic, it can realize excellent global search function, it is by chaos iteration side
What journey generated, this equation reflects the characteristic of chaos system.Initial value is provided to a Chaos Variable, passes through chaos iteration equation
Iteration, it is possible to generate one group of random sequence with ergodic and pseudo-randomness.
The coupling efficiency standard of grating needed for setting, when particle group optimizing result reaches required standard, algorithm stops automatically
Only, the particle value at this moment corresponding to fitness is required design parameter value.
The above method realizes system and designs full directional scatter first, can be effectively obtained the coupling of design parameter and grating
Close efficiency, while this full directional scatter efficiency far is more than general uniform structure fringe, Fig. 4 is given based on present invention side
The coupling efficiency curve of a kind of grating that method is designed, when wavelength is 1310nm, coupling efficiency is more than 60%, and three dB bandwidth surpasses
Cross 70nm.In addition, particle cluster algorithm inherently has many advantages, such as that easy to operate, independence is strong.
Claims (1)
1. a kind of complete random silica-based waveguides grating design method based on Chaos particle swarm optimization algorithm, it is characterized in that：
By uniform grating design parameter non-homogenized, grating overall variation is allowed to be designed as the variation of each period blocks, grating is dashed forward
The length for going out part is denoted as a, and the width of grating protrusion is denoted as c, and the length of sunk part is denoted as b, and the width of sunk part is denoted as d, then
The structural parameters of grating are expressed as etching depth d=c-d, periods lambda=a+b, and duty ratio w/ Λ=b/a+b determine complete random light
The design parameter of grid is ai,bi,ci,di, i=1,2 ..., n, wherein n are screen periods number；
Coupling efficiency value in the case of each parameter is exactly the adaptive response in particle cluster algorithm, and the next generation is evolved in population
When, each particle can update oneself by tracking the two optimal solutions of pbest and gbest, and more new formula is as follows：
Wherein t represents t generations；α is weight coefficient, is the proportionality coefficient of present speed V (t), takes the random number between [0,1]；r1
And r2It is the random number between [0,1], c1And c2It is Studying factors, influences the speed that population follows optimal solution, X (t+1) table
Show follow-on position, be that current location X (t) plus next generation speed V (t+1) are obtained；
When particle value gets boundary position, make Chaos Variable processing, utilize the pseudo-randomness of Chaos Variable, the spy of ergodic
Point realizes global search function, and initial value is provided to Chaos Variable, and by the iteration of chaos iteration equation, generating has time
One group of random sequence of the property gone through and pseudo-randomness；
The coupling efficiency standard of grating needed for setting when particle group optimizing result reaches required standard, is automatically stopped, at this moment fits
Particle value corresponding to response is required design parameter value.
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Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN110320663A (en) * | 2019-03-20 | 2019-10-11 | 华中科技大学 | The big bandwidth mode filter of super-small based on the design of direct binary search algorithm |
| CN111274673A (en) * | 2020-01-07 | 2020-06-12 | 上海索辰信息科技有限公司 | Optical product model optimization method and system based on particle swarm optimization |
| CN112033645A (en) * | 2020-08-07 | 2020-12-04 | 深圳市速腾聚创科技有限公司 | Waveguide grating structure parameter determination method and device, storage medium and laser radar |
| CN113176694A (en) * | 2021-04-21 | 2021-07-27 | 北京邮电大学 | Optical phased array and preparation method thereof |
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| CN102183814A (en) * | 2011-05-27 | 2011-09-14 | 哈尔滨工业大学深圳研究生院 | Reversal design method of optical fibre Bragg grating based on mix optimization algorithm |
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Cited By (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110320663A (en) * | 2019-03-20 | 2019-10-11 | 华中科技大学 | The big bandwidth mode filter of super-small based on the design of direct binary search algorithm |
| CN110320663B (en) * | 2019-03-20 | 2020-12-01 | 华中科技大学 | Ultra-small-size large-bandwidth mode filter designed based on direct binary search algorithm |
| CN111274673A (en) * | 2020-01-07 | 2020-06-12 | 上海索辰信息科技有限公司 | Optical product model optimization method and system based on particle swarm optimization |
| CN111274673B (en) * | 2020-01-07 | 2021-02-23 | 上海索辰信息科技股份有限公司 | Optical product model optimization method and system based on particle swarm optimization |
| CN112033645A (en) * | 2020-08-07 | 2020-12-04 | 深圳市速腾聚创科技有限公司 | Waveguide grating structure parameter determination method and device, storage medium and laser radar |
| CN113176694A (en) * | 2021-04-21 | 2021-07-27 | 北京邮电大学 | Optical phased array and preparation method thereof |
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Application publication date: 20180629 |