CN108733924A - A kind of intellectualized design method of digital coding metamaterial unit - Google Patents

A kind of intellectualized design method of digital coding metamaterial unit Download PDF

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CN108733924A
CN108733924A CN201810486978.1A CN201810486978A CN108733924A CN 108733924 A CN108733924 A CN 108733924A CN 201810486978 A CN201810486978 A CN 201810486978A CN 108733924 A CN108733924 A CN 108733924A
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崔铁军
张茜
刘彻
万向
张磊
杨艳
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Southeast University
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Abstract

The present invention discloses a kind of intellectualized design method of digital coding metamaterial unit, includes the following steps:1) fundamental design of the 1bit units to building Meta Materials carries out digital coding, Element Polarization wave reflection phase when predicting that disparate modules are arranged in 1bit units using deep learning algorithm for design;2) according to Meta Materials functional requirement, the polarized wave phase difference θ of the 1bit cellular constructions of structure Meta Materials is determined, in conjunction with Binary Particle Swarm Optimization module and 1bit cellular constructions that deep learning module design polarized wave phase difference is θ.The design method of the present invention realizes the Automation Design of the ideally-reflecting phase to more bit units based on deep learning, with high efficiency and simplicity, and autgmentability is good, it can replace software emulation, shorten and obtain the corresponding complexity of encoded element information and time, quickly and easily designs multi-beam multipolarization artificial electromagnetic surface.

Description

A kind of intellectualized design method of digital coding metamaterial unit
Technical field
The present invention relates to a kind of design method of metamaterial unit, more particularly to a kind of intelligence of digital coding metamaterial unit Design method can be changed, belong to machine learning and digital coding Meta Materials field.
Background technology
There is the artificial composite wood of special conduction or radiation characteristic (negative refraction, zero refraction) when electromagnetic wave is propagated wherein Material is called Novel manual electromagnetic material (Metamaterials), it may also be said to which Novel manual electromagnetic material is that one kind can be with people Work design, the electromagnetic material for meeting specific effective dielectric constant and magnetic conductivity requirement.In order to realize the different function of Meta Materials, lead to Overregulate metamaterial modular construction realize phase variation, then adjust the unit of different reflected phases distribution situation can make into Ejected wave is through pencil beam of the array structure radiation with high directionality or assigns traveling wave beam.
Phase response for coding unit (16 × 16 random point array element) is determined by the coding of unit, for axis Symmetrical cell has 264Kind coding and corresponding phase information.Generally use full-wave simulation software CST in the prior art Microwave Studio are from 264Required coding is obtained in kind coding to encode as metamaterial unit, this design method can consume Take huge time and efforts.
The concept of deep learning was proposed by Hinton et al. in 2006, and was obtaining development at full speed in recent years, was broken through The application achievements of property emerge one after another.Deep learning is a kind of method based on to data progress representative learning in machine learning, can To be modeled automatically to high dimensional data data, the trouble of artificial extraction feature is eliminated, what the system that improves was designed and run Efficiency.
Particle group optimizing (Particle Swarm Optimization, PSO) algorithm is Kennedy and Eberhart rich A kind of swarm intelligence Evolutionary Computation that scholar proposes in nineteen ninety-five.Particle swarm optimization algorithm initially proposes to be suitable for solving continuous The optimization problem in space.On the basis of continuity particle cluster algorithm, Binary Particle Swarm Optimization (Binary PSO, BPSO) it is suggested the practical sex chromosome mosaicism for solving many Combinatorial Optimizations.In Binary Particle Swarm Optimization, the position of particle is compiled Code uses binary mode, that is, every one-dimensional component of particle to be indicated with " 0 " and " 1 ".
Based on this, inventor combines deep learning method and particle swarm optimization algorithm, forms the technology of the present invention.
Invention content
Goal of the invention:For encoded element information existing for existing Meta Materials coding unit design method obtain it is complicated and The problem for obtaining time length, provides a kind of intellectualized design method of digital coding metamaterial unit.
Technical solution:A kind of intellectualized design method of digital coding metamaterial unit of the present invention, including it is following Step:
1) fundamental design of the 1bit units to building Meta Materials carries out digital coding, pre- using deep learning algorithm for design Survey Element Polarization wave reflection phase when disparate modules are arranged in 1bit units;
2) according to Meta Materials functional requirement, the polarized wave phase difference θ of the 1bit cellular constructions of structure Meta Materials is determined, in conjunction with Binary Particle Swarm Optimization module and the 1bit cellular constructions that deep learning module design polarized wave phase difference is θ.
Above-mentioned steps 1) in, Random Discrete lattice may be selected and do the fundamental designs of 1bit unit particles, the fundamental design by Air module and metal module composition, are labeled as " 0 ", metal module is labeled as " 1 ", obtains 1bit cell encodings by air module Pattern.Specifically, special neural network of the structure from cell encoding to reflected phase, 1bit cell encodings on the basis of Resnet " 0 " and " 1 " is corresponding with " 0 " and " 1 " in deep learning algorithm for design in pattern, the 1bit cell encodings that disparate modules are arranged Pattern transformation at 0-1 matrixes as network inputs, reflected phase every once discretization to 360 states, various 1bit are mono- The corresponding reflected phase of primitive encoding pattern is exported as network, to predict unit when disparate modules are arranged in 1bit units Polarized wave reflected phase.
Above-mentioned steps 2) in, 1bit units are made of " 0 " unit and two units of " 1 " unit, and polarized wave phase difference is θ's 1bit units are:Form the phase of the reflected phase of two units " 0 " of 1bit units and the TM polarized waves and TE polarized waves of " 1 " Difference is θ, and the phase difference value of the reflected phase of the identical polarized wave of two units is 180 °.
Wherein, it is in conjunction with the design method of Binary Particle Swarm Optimization module and deep learning module:Using two into Subgroup optimization algorithm module of pelletizing generates primary group, the speed of more new particle and position, and calculates in each iteration suitable Response;Using the quick calculating of deep learning algorithm for design and the reflected phase of output unit.
Specifically design procedure is:
1) withI=1,2 are used as fitness function, the coding pattern of optimization unit particle to obtain fitness1Minimum value, i.e. i=1, obtain 1bit units in " 0 " unit, whereinWithThe TM of unit is indicated respectively With the reflected phase of TE polarized waves;
(2) reflected phase of " 0 " unit is exported, and enters the second wheel and optimizes;
(3) reflected phase of " 0 " unit optimized based on the first round, in second of optimization design, withI=1,2 andAs fitness function, optimize unit particle Pattern obtains fitness1And fitness2Minimum value, that is, obtain 1bit units in " 1 " unit;Wherein, Respectively Indicate the reflected phase of the TE polarized waves of unit " 0 " and unit " 1 ".
Advantageous effect:Compared with the prior art, the advantages of the present invention are as follows:The design method of the present invention is based on deep learning The Automation Design of the ideally-reflecting phase to more bit units is realized, there is high efficiency and simplicity, and autgmentability is good, Software emulation can be replaced, shortens and obtains the corresponding complexity of encoded element information and time;Meanwhile it also providing a kind of to people The significant trial of work electromagnetic material intelligent algorithm.
Description of the drawings
Fig. 1 is the axially symmetric structure schematic diagram of metamaterial unit in the present invention;
Fig. 2 is the variation and feature extraction that 1bit cell encoding patterns input characteristic dimension after deep learning neural network Flow chart;
Fig. 3 is that Binary Particle Swarm Optimization module and deep learning module design 1bit unit knots are combined in the present invention The method flow diagram of structure;
Fig. 4 is the structural representation for two groups of 1bit units that the polarized wave reflected phase difference that the present invention designs is 0 ° and 180 ° Figure;
Fig. 5 is the structural representation for two groups of 1bit units that the polarized wave reflected phase difference that the present invention designs is -45 ° and 135 ° Figure;
Fig. 6 is the structural representation for two groups of 1bit units that the polarized wave reflected phase difference that the present invention designs is -90 ° and 90 ° Figure;
Fig. 7 is the structural representation for two groups of 1bit units that the polarized wave reflected phase difference that the present invention designs is -135 ° and 45 ° Figure.
Specific implementation mode
Technical scheme of the present invention is described further below in conjunction with the accompanying drawings.
Left-hand circular polarization, the three wave beam multipolarization people of three kinds of wave beams of right-handed circular polarization and linear polarization can be radiated with design For the metamaterial unit of work resistance electromagnetic surface, the intellectualized design method of the digital coding metamaterial unit of the present invention is said It is bright.
1) fundamental design of the 1bit units to building Meta Materials carries out digital coding, pre- using deep learning algorithm for design Survey Element Polarization wave reflection phase when disparate modules are arranged in 1bit units;
First, we select Random Discrete lattice to be the fundamental design of unit particle, such as Fig. 1.The lattice pattern includes 16 × 16 blockages, wherein grey blockage is metal derby, and white blockage is air block, that is, does not cover any material. Grey blockage is labeled as " 1 ", and white blockage is labeled as " 0 ", and opposite with " 1 " and " 0 " in deep learning algorithm for design It answers, is labeled as 1bit cell encodings.The two dimension arrangement of different " 0 " and " 1 ", that is, different cell encodings, determine list The reflected phase of elementary particle.In our design, cell encoding is encoded using axisymmetric, thus has 264Kind coding Pattern has also corresponded to various reflected phase.
In deep learning module, we devise dedicated 101 layer network based on Resnet, 1bit cell encoding patterns 0-1 matrixes are converted to as network inputs;Reflected phase is every once discretization to 360 states, by 1bit cell encodings pair The reflected phase answered is exported as network.It is trained by a large amount of data, we make e-learning to from being encoded to phase Relationship, and reached required precision.Fig. 2 shows the variation of characteristic dimension and feature after cell encoding input neural network Extraction process finally extracts 2048 characteristic points, and is converted to output phase feature to by a fully-connected network Prediction.Table 1 shows the specific convolution operation involved in the constructed each block structure of neural network, not by small convolution kernel It is disconnected to stack, it increases the acceptance region of feature extraction and so that the feature extracted is more and more advanced.
Involved specific convolution operation in each block structure of neural network constructed by table 1
2) according to Meta Materials functional requirement, the polarized wave phase difference that the 1bit cellular constructions of structure Meta Materials need to meet is determined θ, in conjunction with the 1bit unit knots that Binary Particle Swarm Optimization module and deep learning module design polarized wave phase difference are θ Structure.
The metamaterial unit that the present invention designs is for building three wave beam multipolarization artificial electromagnetic surfaces, three wave beam multipolarization people Work resistance electromagnetic surface must be encoded to obtain by the 1bit cell arrays of 3bit groups.The composition of 1bit codings is defined as two reflected phase phases Poor 180 ° of unit, such as θ=0 ° and the two of 180 ° groups of units or θ=45 ° and -135 ° of two groups of units etc.;2bit is encoded Composition be defined as the unit that four reflected phases differ 90 °, such as θ=- 90 °, 0 °, 90 ° and 180 ° of four groups of units;3bit The composition of coding is defined as the unit that eight reflected phases differ 45 °, such as θ=- 135 °, -90 °, -45 °, 0 °, -45 °, 90 °, 135 ° and 180 ° of eight groups of units, the i.e. present invention need to design polarized wave phase difference be θ be -135 °, -90 °, -45 °, 0 °, -45 °, 90 °, 135 ° and 180 ° of eight groups of 1bit cellular constructions.
Constitute two units " 0 " in 1 group of 1bit unit and " 1 " x polarized waves (transverse-magnetic, TM, Polarized wave) the phase difference of reflected phase of reflected phase and y polarized waves (transverse-electric, TE, polarized wave) be θ, and the phase difference value of the identical polarized radiation phase of two units is 180 °.In 1 group of 1bit unit " 0 " and " 1 " unit with Binary system particle coding " 0 " and " 1 " in binary particle swarm algorithm is corresponding.
Fig. 3 is the design cycle based on Binary Particle Swarm Optimization module and deep learning module, is obtained with this There are the 1bit anisotropy coding units of fixation reflex phase difference on orthogonal direction.This design program includes two modules, from Particle swarm optimization algorithm (BPSO) module and deep learning module are dissipated, Binary Particle Swarm Optimization module is initial for generating Population, the speed of more new particle and position, and fitness is calculated in each iteration;Deep learning for quickly calculate and The reflected phase of output unit.Specific design procedure is as follows:
(1) withI=1,2 are used as fitness function, the pattern of optimization unit particle to obtain fitness1Minimum value, i.e. i=1, obtain 1bit units in " 0 ", that is, its TM and TE polarized waves reflected phase Difference is closest to θ;WithThe reflected phase of the TM and TE polarized waves of unit is indicated respectively.
(2) reflected phase of " 0 " unit is exported, and passes in and out the second wheel optimization;
(3) reflected phase of " 0 " unit optimized based on the first round, in second of optimization design, withI=1,2 andAs fitness function, optimize unit particle Pattern obtain fitness1And fitness2Minimum value, that is, obtain " 1 " in 1bit units, that is, its poles TM and TE Change the nearly θ of reflected phase differential of wave, and two units " 0 " of 1bit and the phase difference of " 1 " are close to 180 °;
By this design method, it is -135 ° that can obtain polarized wave phase difference θ, -90 °, -45 °, 0 °, -45 °, 90 °, 135 ° and 180 ° of 8 groups of 1bit units, such as Fig. 4~7.Realization one can be combined using the 1bit units of full income 3bit groups Three wave beam multipolarizations (left-hand circular polarization, right-handed circular polarization and linear polarization) artificial electromagnetic surface.

Claims (6)

1. a kind of intellectualized design method of digital coding metamaterial unit, which is characterized in that include the following steps:
1) fundamental design of the 1bit units to building Meta Materials carries out digital coding, is predicted using deep learning algorithm for design Element Polarization wave reflection phase when disparate modules are arranged in 1bit units;
2) according to Meta Materials functional requirement, determine the polarized wave phase difference θ of the 1bit cellular constructions of structure Meta Materials, in conjunction with two into Subgroup optimization algorithm module of pelletizing and the 1bit cellular constructions that deep learning module design polarized wave phase difference is θ.
2. the intellectualized design method of digital coding metamaterial unit according to claim 1, which is characterized in that step 1) In, select Random Discrete lattice to do the fundamental design of 1bit unit particles, the fundamental design is by air module and metal module group At by air module labeled as " 0 ", metal module is labeled as " 1 ", obtains 1bit cell encoding patterns.
3. the intellectualized design method of digital coding metamaterial unit according to claim 2, which is characterized in that step 1) In, special neural network of the structure from cell encoding to reflected phase on the basis of Resnet, in 1bit cell encoding patterns " 0 " " 1 " is corresponding with " 0 " and " 1 " in deep learning algorithm for design, the 1bit cell encoding pattern transformations that disparate modules are arranged At 0-1 matrixes as network inputs, reflected phase is every once discretization to 360 states, by various 1bit cell encodings figures The corresponding reflected phase of case is exported as network, to which Element Polarization wave when predicting disparate modules arrangement in 1bit units is anti- Penetrate phase.
4. the intellectualized design method of digital coding metamaterial unit according to claim 2, which is characterized in that step 2) In, the 1bit units that the polarized wave phase difference is θ are:Constitute the poles TM of two units " 0 " and " 1 " in 1 group of 1bit unit The phase difference for changing the reflected phase of wave and TE polarized waves is θ, and the phase of the reflected phase of the identical polarized wave of two units Difference is 180 °.
5. the intellectualized design method of digital coding metamaterial unit according to claim 4, which is characterized in that step 2) In, the design method of the combination Binary Particle Swarm Optimization module and deep learning module is:Using binary system particle Colony optimization algorithm module generates primary group, the speed of more new particle and position, and calculates fitness in each iteration;It adopts With the quick calculating of deep learning algorithm for design and the reflected phase of output unit.
6. the intellectualized design method of digital coding metamaterial unit according to claim 5, which is characterized in that step 2) In, the design procedure of the combination Binary Particle Swarm Optimization module and deep learning module includes:
(1) withAs fitness function, the coding pattern of optimization unit particle obtains fitness1Minimum value, i.e. i=1, obtain 1bit units in " 0 " unit, whereinWithRespectively indicate unit TM and The reflected phase of TE polarized waves;
(2) reflected phase of " 0 " unit is exported, and enters the second wheel and optimizes;
(3) reflected phase of " 0 " unit optimized based on the first round, in second of optimization design, withWithAs fitness function, optimize unit grain The pattern of son obtains fitness1And fitness2Minimum value, that is, obtain 1bit units in " 1 " unit;Wherein, Point Not Biao Shi unit " 0 " and unit " 1 " TE polarized waves reflected phase.
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CN110110398A (en) * 2019-04-19 2019-08-09 西安工程大学 A kind of super surface automatic design method based on convolution self-encoding encoder
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CN110518361A (en) * 2019-08-22 2019-11-29 西安电子科技大学 A kind of adjustable super surface cell of reflection of 2 bit phases
CN110518361B (en) * 2019-08-22 2021-01-12 西安电子科技大学 2-bit phase-adjustable reflection super-surface unit
CN110718755A (en) * 2019-10-16 2020-01-21 东南大学 Integrated low-profile digital coding antenna
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CN110647024A (en) * 2019-10-30 2020-01-03 武汉大学 Method for realizing circuitous phase coding multiplexing based on super-surface array structure
CN110647024B (en) * 2019-10-30 2020-10-09 武汉大学 Method for realizing circuitous phase coding multiplexing based on super-surface array structure
CN113270157A (en) * 2021-05-20 2021-08-17 兰州大学 Mechanical metamaterial design and optimization method based on machine learning
CN117610317A (en) * 2024-01-19 2024-02-27 湖北工业大学 Multi-bit super-surface phase arrangement optimization method based on deep learning
CN117610317B (en) * 2024-01-19 2024-04-12 湖北工业大学 Multi-bit super-surface phase arrangement optimization method based on deep learning

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