实现散射场强整形的微散射体阵列逆向设计方法

王志鹏; 王秉中; 刘金品; 王任

doi:10.7498/aps.70.20200825

摘要

本文提出一种基于全介电微散射体的散射阵列结构逆向设计方法, 用以实现散射电场强度整形. 该方法基于空域傅里叶变换与角谱变换, 从给定目标区域处期望实现的散射场强分布出发, 逆向求得所需的感应源, 再利用电磁感应源理论, 逆向设计微散射体阵列, 且只需通过解析计算便能够快速地求取出微散射体阵列的电磁参数值分布. 基于提出的逆向设计方法, 文中提供了三维情况下的具体算例, 实现了给定方形面目标区域的散射场强整形. 理论计算结果与全波仿真结果符合良好, 表明本文提出的逆向设计方法具有可行性与有效性.

关键词:

Abstract

It is a novel and interesting idea to inversely design the scattering structure with the desired scattering field intensity distribution in a given target area as the known information. The inverse design method proposed in this paper does not need to be optimized, and the spatial distribution and dielectric constant distribution of the micro-scatterer array can be quickly analytically calculated according to the desired scattering field intensity in the target area. First, based on the spatial Fourier transform and angular spectrum transformation, the plane wave sources required in all directions are inversely obtained from the electric field intensity distribution required in the target area. Then, based on the theory of induced source, a method of irradiating the array of all-dielectric micro-scatterers with incident electromagnetic field to generate the required plane wave source is proposed. The scattering fields generated by these micro-scatterers will be superimposed on the target area to achieve the desired scattering field strength intensity. Finally, according to the proposed inverse design theory model, a specific three-dimensional (3D) design is carried out. In the 3D example, we study the scattering field intensity distribution of the point-focused shape of the square surface target area, and show an all-dielectric micro-sphere distribution design. Its spatial distribution and permittivity distribution are both obtained through the rapid analytical calculation of the desired scattered field intensity shape in the target area. Finally, based on the principle of linear superposition, we quickly and easily generate the complex shapes of “I”, “T”, and “X” in the target area. The satisfactory results of full-wave simulation show that the proposed inverse design method is effective and feasible.

Keywords:

作者及机构信息

电子科技大学应用物理研究所, 成都　610054

通信作者: 王秉中, bzwang@uestc.edu.cn ; 王任, rwang@uestc.edu.cn

基金项目: 国家自然科学基金(批准号: 61731005)、博士后创新人才支持计划(批准号: BX20180057)、中国博士后科学基金(批准号: 2018M640907)、中央高校基本科研业务费(批准号: ZYGX2019J101, ZYGX2019Z016)资助的课题

Authors and contacts

Institute of Applied Physics, University of Electronic Science and Technology of China, Chengdu 610054, China

Corresponding author: Wang Bing-Zhong, bzwang@uestc.edu.cn ; Wang Ren, rwang@uestc.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 61731005), the Postdoctoral Innovation Talents Support Program, China (Grant No. BX20180057), the China Postdoctoral Science Foundation (Grant No. 2018M640907), and the Fundamental Research Fund for the Central Universities, China (Grant No. ZYGX2019J101, ZYGX2019Z016)

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参考文献

[1]	Fink M, Prada C, Wu F, Cassereau D 1989 Proceedings, IEEE Ultrasonics Symposium Montreal, Canada, October 3−6, 1989 p681
[2]	Azar L, Shi Y, Wooh S C 2000 NDT&E Int. 33 189 Google Scholar
[3]	Zhao X Y, Gang T 2008 Ultrasonics 49 126 Google Scholar
[4]	张碧星, 王文龙 2008 物理学报 57 3613 Google Scholar Zhang B X, Wang W L 2008 Acta Phys. Sin. 57 3613 Google Scholar
[5]	郑莉, 郭建中 2016 物理学报 65 044305 Google Scholar Zheng L, Guo J Z 2016 Acta Phys. Sin. 65 044305 Google Scholar
[6]	Shan L, Wen G Y 2014 IEEE Trans. Antennas Propag. 62 5565 Google Scholar
[7]	Wang X Y, Yang G M, Wen G Y 2014 Microwave. Opt. Technol. Lett. 56 2464 Google Scholar
[8]	Nepa P, Buffi A 2017 IEEE Antennas Propag. Mag. 59 42 Google Scholar
[9]	Elmer M, Jeffs B D, Warnick K F, Fisher J R, Norrod R D 2012 IEEE Trans. Antennas Propag. 60 903 Google Scholar
[10]	Guo S, Zhao D, Wang B Z 2019 International Conference on Microwave and Millimeter Wave Technology (ICMMT) Guangzhou, China, May 19−22, 2019 p1
[11]	Zhao D, Zhu M 2016 IEEE Antennas Wirel. Propag. Lett. 1 5 Google Scholar
[12]	Zhao D, Guo F, Guo S, Wang B Z 2018 International Conference on Microwave and Millimeter Wave Technology (ICMMT) Chengdu, China, May 7−11, 2018 p1
[13]	Bellizzi G G, Crocco L, Iero D A M, Isernia T 2017 International Workshop on Antenna Technology: Small Antennas, Innovative Structures, and Applications (iWAT) Athens, March 1−3, 2017 p162
[14]	Bellizzi G G, Bevacqua M T, Crocco L, Isernia T 2018 IEEE Trans. Antennas Propag. 66 4380 Google Scholar
[15]	Alu A 2009 Phys. Rev. B 80 245115 Google Scholar
[16]	Yu N, Genevet P, Kats M A, Aieta F, Tetienne J P, Capasso F, Gaburro Z 2011 Science 334 333 Google Scholar
[17]	Pfeiffer C, Grbic A 2013 Phys. Rev. Lett. 110 197401 Google Scholar
[18]	Grbic A, Jiang L, Merlin R 2008 Science 320 511 Google Scholar
[19]	Imani M F, Grbic A 2013 IEEE Trans. Antennas Propag. 61 5425 Google Scholar
[20]	Grbic A, Merlin R, Thomas E M, Imani M F 2011 Proceedings of the IEEE 99 1806 Google Scholar
[21]	Khorasaninejad M, Chen W T, Devlin R C, Oh J, Zhu A.Y, Capasso F 2016 Science 352 1190 Google Scholar
[22]	Li L, Liu H, Zhang H, Xue W 2018 IEEE Trans. Ind. Electron. 65 3230 Google Scholar
[23]	Yu S, Liu H, Li L 2019 IEEE Trans. Ind. Electron. 66 3993 Google Scholar
[24]	Chen X D 2018 Computational Methods for Electromagnetic Inverse Scattering (Hoboken: Wiley-IEEE Press) p24
[25]	Kong J A 1990 Electromagnetic Wave Theory (New York: Wiley-Interscience) pp482−483

施引文献

图 1 逆向设计示意图

Fig. 1. Schematic diagram of inverse design.

下载: 全尺寸图片幻灯片

图 2 微球阵列设计示意图　(a) 三维视角图; (b)俯视图; (c)正视图; (d)侧视图

Fig. 2. Schematic of micro-sphere array design: (a) 3-D view; (b) top view; (c) front view; (d) side view.

下载: 全尺寸图片幻灯片

图 3 微球相对介电常数分布

Fig. 3. Spheres relative permittivity of array distribution.

下载: 全尺寸图片幻灯片

图 4 目标区域归一化点聚焦形状散射场分布图　(a) 三维视角图; (b) 俯视图

Fig. 4. Normalized scattering field distribution of focused shape in target area: (a) 3-D view; (b) top view.

下载: 全尺寸图片幻灯片

图 5 目标区域三条线上的归一化散射场分布图　(a) y = 0处场分布; (b) x = 0处分布; (c) y = x处场分布

Fig. 5. Normalized scattering field distribution on three special lines in target area: (a) A cut view in y = 0; (b) a cut view in x = 0; (c) a cut view in y = x.

下载: 全尺寸图片幻灯片

图 6 目标区域归一化复杂形状散射场分布图　(a) 相对原点沿向x方向右平移沿z方向上平移2${\lambda _0}$的点聚焦形状散射场; (b) “I”形状; (c) “T”形状; (d) “X”-形状

Fig. 6. Normalized scattering field intensity distribution of complex shape in target area: (a) focused shaped field moving 2${\lambda _0}$ to the right and top relative to the origin; (b) “I”-shaped; (c) “T”-shaped; (d) “X”-shaped.

下载: 全尺寸图片幻灯片

图 7 “I”形散射场分布的微散射体阵列示意图　(a) 三维视角图; (b)俯视图; (c)正视图; (d)侧视图

Fig. 7. Schematic of micro-sphere array design with “I”-shaped: (a) 3-D view; (b) top view; (c) front view; (d) side view.

下载: 全尺寸图片幻灯片

[1]	Fink M, Prada C, Wu F, Cassereau D 1989 Proceedings, IEEE Ultrasonics Symposium Montreal, Canada, October 3−6, 1989 p681
[2]	Azar L, Shi Y, Wooh S C 2000 NDT&E Int. 33 189 Google Scholar
[3]	Zhao X Y, Gang T 2008 Ultrasonics 49 126 Google Scholar
[4]	张碧星, 王文龙 2008 物理学报 57 3613 Google Scholar Zhang B X, Wang W L 2008 Acta Phys. Sin. 57 3613 Google Scholar
[5]	郑莉, 郭建中 2016 物理学报 65 044305 Google Scholar Zheng L, Guo J Z 2016 Acta Phys. Sin. 65 044305 Google Scholar
[6]	Shan L, Wen G Y 2014 IEEE Trans. Antennas Propag. 62 5565 Google Scholar
[7]	Wang X Y, Yang G M, Wen G Y 2014 Microwave. Opt. Technol. Lett. 56 2464 Google Scholar
[8]	Nepa P, Buffi A 2017 IEEE Antennas Propag. Mag. 59 42 Google Scholar
[9]	Elmer M, Jeffs B D, Warnick K F, Fisher J R, Norrod R D 2012 IEEE Trans. Antennas Propag. 60 903 Google Scholar
[10]	Guo S, Zhao D, Wang B Z 2019 International Conference on Microwave and Millimeter Wave Technology (ICMMT) Guangzhou, China, May 19−22, 2019 p1
[11]	Zhao D, Zhu M 2016 IEEE Antennas Wirel. Propag. Lett. 1 5 Google Scholar
[12]	Zhao D, Guo F, Guo S, Wang B Z 2018 International Conference on Microwave and Millimeter Wave Technology (ICMMT) Chengdu, China, May 7−11, 2018 p1
[13]	Bellizzi G G, Crocco L, Iero D A M, Isernia T 2017 International Workshop on Antenna Technology: Small Antennas, Innovative Structures, and Applications (iWAT) Athens, March 1−3, 2017 p162
[14]	Bellizzi G G, Bevacqua M T, Crocco L, Isernia T 2018 IEEE Trans. Antennas Propag. 66 4380 Google Scholar
[15]	Alu A 2009 Phys. Rev. B 80 245115 Google Scholar
[16]	Yu N, Genevet P, Kats M A, Aieta F, Tetienne J P, Capasso F, Gaburro Z 2011 Science 334 333 Google Scholar
[17]	Pfeiffer C, Grbic A 2013 Phys. Rev. Lett. 110 197401 Google Scholar
[18]	Grbic A, Jiang L, Merlin R 2008 Science 320 511 Google Scholar
[19]	Imani M F, Grbic A 2013 IEEE Trans. Antennas Propag. 61 5425 Google Scholar
[20]	Grbic A, Merlin R, Thomas E M, Imani M F 2011 Proceedings of the IEEE 99 1806 Google Scholar
[21]	Khorasaninejad M, Chen W T, Devlin R C, Oh J, Zhu A.Y, Capasso F 2016 Science 352 1190 Google Scholar
[22]	Li L, Liu H, Zhang H, Xue W 2018 IEEE Trans. Ind. Electron. 65 3230 Google Scholar
[23]	Yu S, Liu H, Li L 2019 IEEE Trans. Ind. Electron. 66 3993 Google Scholar
[24]	Chen X D 2018 Computational Methods for Electromagnetic Inverse Scattering (Hoboken: Wiley-IEEE Press) p24
[25]	Kong J A 1990 Electromagnetic Wave Theory (New York: Wiley-Interscience) pp482−483

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实现散射场强整形的微散射体阵列逆向设计方法