数字型太赫兹带通滤波器的逆向设计及优化

居学尉; 张林烽; 黄峰; 朱国锋; 李淑锦; 陈燕青; 王嘉勋; 钟舜聪; 陈盈; 王向峰

doi:10.7498/aps.73.20231584

摘要

针对高性能太赫兹功能器件的规范化设计需求, 本文将智能逆向设计方法应用于太赫兹带通滤波器的设计与优化中. 建立与数字空间映射的亚波长超表面等效模型, 从设定器件的目标功能和约束条件出发, 利用智能算法探索整个解空间中的全部可能结构, 迭代寻优至最优结构图案. 本文利用搭建的逆向设计框架设计了中心频率为0.51 THz、带宽为41.5 GHz、插入损耗为–0.1071 dB的太赫兹带通滤波器. 与传统的人工正向设计相比, 逆向设计方法可解构出窄带、低插入损耗、带外抑制强、极化稳定性强的带通滤波器.

关键词:

Abstract

In this paper, an ingenious reverse design method is applied to the design and optimization of terahertz bandpass filters in order to achieve standardized design of high-performance terahertz functional devices. An equivalent model of subwavelength metasurface mapped to digital space is established. Based on ideal objective functions and constraints, intelligent algorithms begin a bold journey to explore the vast potential structure in the solution space. Through iterative refinement, the algorithm reveals optimal structural patterns, unlocking areas of unparalleled performance. The direct binary search (DBS) algorithm and the binary particle swarm optimization (BPSO) algorithm are compared in optimization process. When using the DBS algorithm to optimize the design area, it takes a long time to poll the logic states of all pixel units point by point, and it is easy to get stuck in the local optimal value. However, BPSO algorithm has stronger global search capabilities, faster convergence speed, and higher accuracy. Through a comprehensive comparison of the device performance optimized by the two algorithms, the solution optimized by BPSO algorithm has better out-of-band suppression performance and a narrower full width at half peak, but slightly lower transmittance at the center frequency. The bandpass filter has a center frequency of 0.51 THz, a bandwidth of 41.5 GHz, and an insertion loss of -0.1071 dB. When considering computational efficiency, DBS algorithm lags behind, the simulation time is 11550 s, while BPSO algorithm only needs 9750 s. Compared with the traditional forward design, the reverse design method can achieve the narrower band, lower insertion loss, better out-of-band suppression and polarization stability. The fine structural changes of the optimal results have a significant influence on spectral performance, demonstrating the superiority and uniqueness of reverse design. This technology contributes to the design and optimization of high-performance and novel functional devices.

Keywords:

作者及机构信息

1.
福州大学机械工程及自动化学院, 福建省太赫兹功能器件与智能传感重点实验室, 福州　350108

2.
CAD/CAM福建省高校工程研究中心(莆田学院), 莆田　351100

3.
智能配电网装备福建省高校工程研究中心, 福州　350108

4.
福州大学物理与信息工程学院, 福州　350108

通信作者: 黄峰, huangf@fzu.edu.cn ; 陈盈, chenying26@fzu.edu.cn ; 王向峰, xfwang@fzu.edu.cn

基金项目: 国家自然科学基金(批准号: 52275096)、福建省自然科学基金(批准号: 2023J05096, 2023J01055)、福建省太赫兹功能器件与智能传感重点实验室(福州大学)开放基金(批准号: FPKLTFDIS202304)、CAD/CAM福建省高校工程研究中心开放基金(批准号: K202203)、智能配电网装备福建省高校工程研究中心开放基金(批准号: KFRC202203)、福建省教育厅中青年教师教育科研项目(批准号: JAT220032)、福州大学科研启动项目(批准号: XRC-22073)和教育部产学合作协同育人项目(批准号: 220804090295412)资助的课题.

Authors and contacts

1.
Fujian Provincial Key Laboratory of Terahertz Functional Devices and Intelligent Sensing, School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou 350108, China

2.
The Engineering Research Center for CAD/CAM of Fujian Universities, Putian University, Putian 351100, China

3.
Engineering Research Center of Smart Distribution Grid Equipment, Fujian Province University, Fuzhou 350108, China

4.
College of Physics and Information Engineering, Fuzhou University, Fuzhou 350108, China

Corresponding author: Huang Feng, huangf@fzu.edu.cn ; Chen Ying, chenying26@fzu.edu.cn ; Wang Xiang-Feng, xfwang@fzu.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 52275096), the Natural Science Foundation of Fujian Province, China (Grant Nos. 2023J05096, 2023J01055), the Fujian Provincial Key Laboratory of Terahertz Functional Devices and Intelligent Sensing (Fuzhou University), China (Grant No. FPKLTFDIS202304), the Engineering Research Center for CAD/CAM of Fujian Universities, China (Grant No. K202203), the Engineering Research Center of Smart Distribution Grid Equipment, Fujian Province University, China (Grant No. KFRC202203), the Education and Scientific Research Foundation for Young Teachers in Fujian Province, China (Grant No. JAT220032), the Research Initiation Project for Fuzhou University, China (Grant No. XRC-22073), and the Collaborative Education Project for Industry and University Cooperation of the Ministry of Education, China (Grant No. 220804090295412).

文章全文 : translate this paragraph

参考文献

[1]	Yang X, Zhao X, Yang K, Liu Y, Fu W, Luo Y. Biomedical applications of terahertz spectroscopy and imaging 2016 Trends Biotechnol. 34 810 Google Scholar
[2]	Pengnoo M, Barros M T, Wuttisittikulkij L, Butler B, Davy A, Balasubramaniam S 2020 IEEE Access 8 114580 Google Scholar
[3]	Kumar A, Gupta M, Pitchappa P, Wang N, Szriftgiser P, Ducournau G, Singh R 2022 Nat. Commun. 13 5404 Google Scholar
[4]	Lee E S, Jeon T I. 2012 Opt. Express 20 29605 Google Scholar
[5]	Savel’ev S, Rakhmanov A L, Nori F 2005 Phys. Rev. Lett. 94 157004 Google Scholar
[6]	Lin Y, Yao H, Ju X, Chen Y, Zhong S, Wang X 2017 Opt. Express 25 25125 Google Scholar
[7]	Gao T, Huang F, Chen Y, Zhu W, Ju X 2020 Appl. Sci. 10 5030 Google Scholar
[8]	Hu F, Fan Y, Zhang X, Jiang W, Chen Y, Li P, Yin X, Zhang W 2018 Opt. Lett. 43 17 Google Scholar
[9]	洪鹏, 胡珑夏雨, 周子昕, 秦浩然, 陈佳乐, 范烨, 殷同宇, 寇君龙, 陆延青 2023 光子学报 52 0623001 Google Scholar Hong P, Hu L X Y, Zhou Z X, Qin H R, Chen J L, Fan Y, Yin T Y, Kou J L, Lu Y Q 2023 Acta Photonnica Sin. 52 0623001 Google Scholar
[10]	常红伟, 马华, 张介秋, 张志远, 徐卓, 王甲富, 屈绍波 2014 物理学报 63 087804 Google Scholar Chang H W, Ma H, Zhang J Q, Zhang Z Y, Xu Z, Wang J F, Qu S B 2014 Acta Phys. Sin. 63 087804 Google Scholar
[11]	Sui S, Ma H, Wang J, Pang Y, Feng M, Xu Z, Qu S 2018 J. Phys. D 51 065603 Google Scholar
[12]	Zhu R, Wang J, Sui S, Meng Y, Qiu T, Jia Y, Wang X, Han Y, Feng M, Zheng L, Qu S 2020 Front. Phys. 8 231 Google Scholar
[13]	Liu Z H, Liu X H, Xiao Z Y, Lu C C, Wang H Q, Wu Y, Hu X Y, Liu Y C, Zhang H Y, Zhang X D 2019 Optica 6 1367 Google Scholar
[14]	Ma W, Cheng F, Liu Y M 2018 ACS Nano 12 6326 Google Scholar
[15]	Ma H, Kim J S, Choe J H, Park Q H 2023 Nanophotonics 12 2415 Google Scholar
[16]	Zhang T, Liu Q, Dan Y H, Yu S, Han X, Dai J, Xu K 2020 Opt. Express 28 18899 Google Scholar
[17]	Wang Y Z, Zeng Q L, Wang J Z, Li Y, Fang D N 2022 Comput. Methods Appl. Mech. Eng. 401 115571 Google Scholar
[18]	Piggott A Y, Lu J, Lagoudakis K G, Petykiewicz J, Babinec T M, Vučković J 2015 Nat. Photonics 9 374 Google Scholar
[19]	Chang W J, Ren X S, Ao Y Q, Lu L H, Cheng M F, Deng L, Liu D M, Zhang M M 2018 Opt. Express 26 24135 Google Scholar
[20]	Fallahi A, Mishrikey M, Hafner C, Vahldieck R 2008 IEEE Trans. Antennas Propag. 56 1340 Google Scholar
[21]	Ordal M A, Long L L, Bell R J, Bell S E, Bell R R, Alexander R W, Ward C A 1983 Appl. Opt. 22 1099 Google Scholar
[22]	Zhu G Y, Ju X W, Zhang W B 2018 Int. J. Prod. Res. 56 4017 Google Scholar
[23]	Hajian M, Ranjbar A M, Amraee T, Mozafari B 2011 Int. J. Electr. Power Energy Syst. 33 28 Google Scholar
[24]	Ju X W, Hu Z Q, Huang F, Wu H B, Belyanin A, Kono J, Wang X F 2021 Opt. Express 29 9261 Google Scholar

施引文献

图 1 (a)传统的十字型FSS; (b)数字型THz BPFs中像素点分布和1/8对称结构示意图(红三角形虚线框所示)

Fig. 1. (a) A traditional cross-type FSS; (b) schematic diagram of the pixel distribution and 1/8 symmetrical unit structure surrounded by red triangle in a digital THz BPFs.

下载: 全尺寸图片幻灯片

图 2 (a)理想性能的目标函数; (b)逆向设计方法流程图

Fig. 2. (a) Ideal performance indicators; (b) the flow chart of reverse design method.

下载: 全尺寸图片幻灯片

图 3 DBS和BPSO两种算法优化后的单元结构和相应透射率曲线

Fig. 3. Unit structure and corresponding transmittance curve optimized by DBS and BPSO algorithms, respectively.

下载: 全尺寸图片幻灯片

图 4 (a) DBS和(b) BPSO两种算法在优化过程中FOM值随迭代次数的变化

Fig. 4. Variation curve of FOM value versus iteration number in the optimization process of (a) DBS and (b) BPSO algorithms, respectively.

下载: 全尺寸图片幻灯片

图 5 (a) BPSO算法在迭代寻优过程中不同FOM值对应的透射率曲线; (b) BPSO算法设计不同中心频率处THz BPFs的透射率曲线

Fig. 5. (a) Transmittance curves corresponding to different FOM values in optimization process of BPSO algorithm; (b) transmittance curves of THz BPFs at different center frequencies designed by BPSO algorithm.

下载: 全尺寸图片幻灯片

图 6 逆向设计和传统设计优化后的单元结构及其透射率曲线

Fig. 6. Unit structure and its transmittance curve optimized by reverse design and traditional design.

下载: 全尺寸图片幻灯片

图 7 (a)—(d)结构简化过程; (e)—(h)相应的透射率光谱

Fig. 7. (a)–(d) Process of structural simplification; (e)–(h) corresponding transmittance spectra.

下载: 全尺寸图片幻灯片

[1]	Yang X, Zhao X, Yang K, Liu Y, Fu W, Luo Y. Biomedical applications of terahertz spectroscopy and imaging 2016 Trends Biotechnol. 34 810 Google Scholar
[2]	Pengnoo M, Barros M T, Wuttisittikulkij L, Butler B, Davy A, Balasubramaniam S 2020 IEEE Access 8 114580 Google Scholar
[3]	Kumar A, Gupta M, Pitchappa P, Wang N, Szriftgiser P, Ducournau G, Singh R 2022 Nat. Commun. 13 5404 Google Scholar
[4]	Lee E S, Jeon T I. 2012 Opt. Express 20 29605 Google Scholar
[5]	Savel’ev S, Rakhmanov A L, Nori F 2005 Phys. Rev. Lett. 94 157004 Google Scholar
[6]	Lin Y, Yao H, Ju X, Chen Y, Zhong S, Wang X 2017 Opt. Express 25 25125 Google Scholar
[7]	Gao T, Huang F, Chen Y, Zhu W, Ju X 2020 Appl. Sci. 10 5030 Google Scholar
[8]	Hu F, Fan Y, Zhang X, Jiang W, Chen Y, Li P, Yin X, Zhang W 2018 Opt. Lett. 43 17 Google Scholar
[9]	洪鹏, 胡珑夏雨, 周子昕, 秦浩然, 陈佳乐, 范烨, 殷同宇, 寇君龙, 陆延青 2023 光子学报 52 0623001 Google Scholar Hong P, Hu L X Y, Zhou Z X, Qin H R, Chen J L, Fan Y, Yin T Y, Kou J L, Lu Y Q 2023 Acta Photonnica Sin. 52 0623001 Google Scholar
[10]	常红伟, 马华, 张介秋, 张志远, 徐卓, 王甲富, 屈绍波 2014 物理学报 63 087804 Google Scholar Chang H W, Ma H, Zhang J Q, Zhang Z Y, Xu Z, Wang J F, Qu S B 2014 Acta Phys. Sin. 63 087804 Google Scholar
[11]	Sui S, Ma H, Wang J, Pang Y, Feng M, Xu Z, Qu S 2018 J. Phys. D 51 065603 Google Scholar
[12]	Zhu R, Wang J, Sui S, Meng Y, Qiu T, Jia Y, Wang X, Han Y, Feng M, Zheng L, Qu S 2020 Front. Phys. 8 231 Google Scholar
[13]	Liu Z H, Liu X H, Xiao Z Y, Lu C C, Wang H Q, Wu Y, Hu X Y, Liu Y C, Zhang H Y, Zhang X D 2019 Optica 6 1367 Google Scholar
[14]	Ma W, Cheng F, Liu Y M 2018 ACS Nano 12 6326 Google Scholar
[15]	Ma H, Kim J S, Choe J H, Park Q H 2023 Nanophotonics 12 2415 Google Scholar
[16]	Zhang T, Liu Q, Dan Y H, Yu S, Han X, Dai J, Xu K 2020 Opt. Express 28 18899 Google Scholar
[17]	Wang Y Z, Zeng Q L, Wang J Z, Li Y, Fang D N 2022 Comput. Methods Appl. Mech. Eng. 401 115571 Google Scholar
[18]	Piggott A Y, Lu J, Lagoudakis K G, Petykiewicz J, Babinec T M, Vučković J 2015 Nat. Photonics 9 374 Google Scholar
[19]	Chang W J, Ren X S, Ao Y Q, Lu L H, Cheng M F, Deng L, Liu D M, Zhang M M 2018 Opt. Express 26 24135 Google Scholar
[20]	Fallahi A, Mishrikey M, Hafner C, Vahldieck R 2008 IEEE Trans. Antennas Propag. 56 1340 Google Scholar
[21]	Ordal M A, Long L L, Bell R J, Bell S E, Bell R R, Alexander R W, Ward C A 1983 Appl. Opt. 22 1099 Google Scholar
[22]	Zhu G Y, Ju X W, Zhang W B 2018 Int. J. Prod. Res. 56 4017 Google Scholar
[23]	Hajian M, Ranjbar A M, Amraee T, Mozafari B 2011 Int. J. Electr. Power Energy Syst. 33 28 Google Scholar
[24]	Ju X W, Hu Z Q, Huang F, Wu H B, Belyanin A, Kono J, Wang X F 2021 Opt. Express 29 9261 Google Scholar

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数字型太赫兹带通滤波器的逆向设计及优化