Efficient Implementation of Fourier Modal Method for 2-D Periodic Structures

被引：2

作者：

Li, Jie ^{[1
]}

Shi, Lihua ^{[1
]}

Ji, Dedong ^{[2
]}

Tan, Eng Leong ^{[3
]}

Lei, Qi ^{[4
]}

Ma, Yao ^{[1
]}

Ran, Yuzhou ^{[1
]}

Liu, Yicheng ^{[1
]}

Wang, Jianbao ^{[1
]}

机构：

[1] Army Engn Univ PLA, Natl Key Lab Electromagnet Environm Effects & Ele, Nanjing 210007, Peoples R China

[2] ShenYang Aircraft Design & Res Inst, Shenyang 110000, Peoples R China

[3] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore

[4] PLA Unit 31007, Beijing 100071, Peoples R China

来源：

IEEE MICROWAVE AND WIRELESS COMPONENTS LETTERS | 2022年 / 32卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Periodic structures; Mathematical models; Gratings; Symmetric matrices; Memory management; Scattering parameters; Matrices; 2-D periodic structures; computational electromagnetics (EMs); Fourier modal method (FMM); COUPLED-WAVE ANALYSIS; FREQUENCY-SELECTIVE SURFACES; MATRIX ALGORITHMS; CROSSED GRATINGS; HYBRID-MATRIX; FORMULATION; RCWA;

D O I：

10.1109/LMWC.2021.3139360

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The conventional Fourier modal method (FMM) has the problems of large memory requirements and low computational efficiency in analyzing 2-D periodic structures. In this letter, a highly symmetric system matrix formulation of the FMM is presented. The conventional FMM is enhanced by using an improved system matrix incorporated with the Cayley-Hamilton theorem. This makes the FMM more efficient in analyzing 2-D periodic structures. Numerical results agree well with those of published literature and the conventional methods. Simulation results show that, compared with the conventional FMM, the proposed method can significantly reduce the memory requirements and condition number while keeping high accuracy.

引用

页码：375 / 378

页数：4

共 50 条

[1] Improved Fourier Modal Method Analyzing 2-D Ultrathin Periodic Structures Without Solving Eigenvalues
Li, Jie
Shi, Li-hua
Wang, Jianbao
Tan, Eng Leong
Ma, Yao
Ran, Yuzhou
Liu, Yicheng
Tong, Yan
[J]. IEEE MICROWAVE AND WIRELESS COMPONENTS LETTERS, 2022, 32 (04) : 273 - 276
[2] Efficient Implementation of 2-D Split-Field FDTD Method for Analyzing Periodic Structures
Wang, Jianbao
Wang, Jinlong
Lei, Qi
Shi, Lihua
Chen, Hailin
Liu, Haoquan
[J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2017, 65 (06) : 3263 - 3266
[3] Efficient Leapfrog 2-D SF FDTD Method for Periodic Structures
Lei, Qi
Wang, Jianbao
Shi, Lihua
Zhang, Qi
Fu, Shangchen
[J]. 2018 INTERNATIONAL APPLIED COMPUTATIONAL ELECTROMAGNETICS SOCIETY SYMPOSIUM IN CHINA (ACES-CHINA 2018), 2018,
[4] FOURIER MODELING - AN EFFICIENT 2-D AND 3-D MODELING METHOD
KOSLOFF, D
[J]. GEOPHYSICS, 1985, 50 (07) : 1192 - 1192
[5] Efficient computation of the 2-D Green's function for 1-D periodic structures using the Ewald method
Capolino, F
Wilton, DR
Johnson, WA
[J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2005, 53 (09) : 2977 - 2984
[6] Efficient implementation of quaternion Fourier transform, convolution, and correlation by 2-D complex FFT
Pei, SC
Ding, JJ
Chang, JH
[J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2001, 49 (11) : 2783 - 2797
[7] Modeling the optical Kerr effect in periodic structures by the linear Fourier modal method
Bej, Subhajit
Tervo, Jani
Svirko, Yuri P.
Turunen, Jari
[J]. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2014, 31 (10) : 2371 - 2378
[8] Analysis of 2-D periodic structures using the ed-ed method
Santo, RVD
Sobrinho, CLDS
Giarola, AT
[J]. IEEE ANTENNAS AND PROPAGATION SOCIETY INTERNATIONAL SYMPOSIUM - ANTENNAS: GATEWAYS TO THE GLOBAL NETWORK, VOLS 1-4, 1998, : 402 - 405
[9] Efficient formalism for treating tapered structures using the Fourier modal method
Osterkryger, Andreas Dyhl
Gregersen, Niels
[J]. OPTICAL MODELLING AND DESIGN IV, 2016, 9889
[10] Efficient algorithm for 2-D arithmetic Fourier transform
Ge, XJ
Chen, NX
Chen, ZD
[J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1997, 45 (08) : 2136 - 2140

← 1 2 3 4 5 →