Electromagnetic Stealth Micro-Grid Metasurface Based on Particle Swarm Structure Optimization

TU Jian-jun; MA Ding

doi:10.12263/DZXB.20220519

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Electromagnetic Stealth Micro-Grid Metasurface Based on Particle Swarm Structure Optimization

PAPERS | 更新时间：2025-12-08

- Electromagnetic Stealth Micro-Grid Metasurface Based on Particle Swarm Structure Optimization
- ACTA ELECTRONICA SINICA Vol. 51, Issue 11, Pages: 3262-3270(2023)
- 作者机构：
  
  1.海军研究院，上海 200235
  2.中国科学院上海技术物理研究所，上海 200283
- 作者简介：
- 基金信息：
  
  National Key Research and Development Program of China(2021YFA0715501)
- DOI：10.12263/DZXB.20220519
  CLC： TN925;V218;TJ765.5
- Received：09 May 2022，
  
  Revised：2022-07-15，
  
  Published：25 November 2023
- 稿件说明：
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涂建军,马丁.基于粒子群结构寻优的电磁隐身微网格超表面[J].电子学报,2023,51(11):3262-3270.

TU Jian-jun,MA Ding.Electromagnetic Stealth Micro-Grid Metasurface Based on Particle Swarm Structure Optimization[J].ACTA ELECTRONICA SINICA,2023,51(11):3262-3270.
涂建军,马丁.基于粒子群结构寻优的电磁隐身微网格超表面[J].电子学报,2023,51(11):3262-3270. DOI： 10.12263/DZXB.20220519.

TU Jian-jun,MA Ding.Electromagnetic Stealth Micro-Grid Metasurface Based on Particle Swarm Structure Optimization[J].ACTA ELECTRONICA SINICA,2023,51(11):3262-3270. DOI： 10.12263/DZXB.20220519.

摘要

针对电磁隐身超表面设计中寻求精确单元反射相位时存在的难点，提出一种将单元金属贴片区域网格化分割，并通过粒子群算法（Particle Swarm Optimization，PSO）自动寻优的设计方法，可自动生成符合预设反射相频特性的金属贴片图案.该方法将方形超表面单元的金属贴片区域划分为

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=62798932&type=

2.28600001

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=62798942&type=

7.45066643

网格（

为偶数，根据

和全对称条件可得到其中的自由网格数

），再用PSO对其自由网格的贴片编码进行训练，直至对应的贴片单元所构建的平面周期结构可实现预期反射相频特性（包括目标频率的反射相位精度及其邻域频段上相频曲线的平坦度）.作为案例，在厘米波段和太赫兹波段，将寻优获得的反射相位相差约

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=62798947&type=

2.28600001

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=62798949&type=

4.48733330

的4种单元，分别以

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=62798947&type=

2.28600001

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=62798949&type=

4.48733330

和

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=62798954&type=

2.28600001

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=62798952&type=

6.01133299

的相位梯度构建1 bit和2 bit超表面，全波仿真结果显示其在中心频率附近均可以得到

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=62798957&type=

2.37066650

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=62798959&type=

9.31333351

以上的RCS削减效果.验证了该方法可自动设计出具备特定反射相位的单元，并且跨频段适用，其所构建的超表面在获得特定频率雷达散射截面（Radar Cross Section，RCS）削减效果的同时，可兼顾有效削减的频段宽度.

Abstract

A new design method of metasurface's unit cell for getting preset reflection phase-frequency characteristics is proposed

in which the metal patch area of the cells are splitted into small grids

whose patches schemes are trained by particle swarm optimization (PSO) algorithm. This is an effective solution to resolve the problem in the design of unit cells' reflection phase of electromagnetic stealth metasurface

in which the metal patch area of a square unit cell is splitted into

grids (

is an even number

the free grids number

can be derived by

and full symmetric condition)

and the code string of the free grids' patch is trained by PSO

until the expected reflection phase-frequency characteristics (including the reflection phase's accuracy at target frequency and the flatness of phase-frequency curve in the neighborhood frequency band) obtain from the planar periodic structure constructed by th

e optimal unit cells. Taken as examples

in the centimeter band and terahertz band

four unit cells with a reflection phase difference of about

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=62798961&type=

2.28600001

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=62798964&type=

4.48733330

are given by PSO

and the 1-bit and 2-bit metasurfaces are constructed with phase gradients of

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=62798965&type=

2.28600001

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=62798976&type=

4.48733330

and

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=62798983&type=

2.28600001

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=62798986&type=

6.01133299

respectively

whose

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=62798988&type=

2.37066650

https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=62798979&type=

9.31333351

RCS reduction effect near the target frequency are verified. It is verified that the unit cell with specific reflection phase can be designed automatically by this method

which is also universally applicable to different frequency bands

and the RCS reduction effect on a specific frequency and the bandwidth with satisfied reduction effect can both be obtained.

关键词

Keywords

references

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