A 3D spatial spectral integral equation method for electromagnetic scattering from finite objects in a layered medium

被引：6

作者：

Dilz, Roeland J. ^{[1
]}

van Kraaij, Mark G. M. M. ^{[2
]}

van Beurden, Martijn C. ^{[1
]}

机构：

[1] Eindhoven Univ Technol EE, POB 513, NL-5600 MB Eindhoven, Netherlands

[2] ASML, De Run 6501, NL-5504 DR Veldhoven, Netherlands

来源：

OPTICAL AND QUANTUM ELECTRONICS | 2018年 / 50卷 / 05期

关键词：

Integral equations; Spectral methods; Gabor frames; Electromagnetic scattering; COUPLED-WAVE METHOD; CONVERGENCE; DIFFRACTION; FORMULATION; GRATINGS; GUIDE; SPACE;

D O I：

10.1007/s11082-018-1471-7

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 generalization of a two-dimensional spatial spectral volume integral equation to a three-dimensional spatial spectral integral equation formulation for electromagnetic scattering from dielectric objects in a stratified dielectric medium is explained. In the spectral domain, the Green function, contrast current density, and scattered electric field are represented on a complex integration manifold that evades the poles and branch cuts that are present in the Green function. In the spatial domain, the field-material interactions are reformulated by a normal-vector field approach, which obeys the Li factorization rules. Numerical evidence is shown that the computation time of this method scales as on the number of unknowns. The accuracy of the method for three numerical examples is compared to a finite element method reference.

引用

页数：22

共 37 条

[1]

Bastiaans M.J., 1995, GABORS EXPANSION ZAK, P33

[2]

Bocskei H., 2003, J FOURIER ANAL APPL, V6, P255

[3]

Burger S., 2013, P SPIE 8880 PHOTOMAS, V8880

[4]

Chew W C., 1995, Waves and Fields in Inhomogenous Media, P45, DOI DOI 10.1109/9780470547052.CH2

[5] LIMITS ON THE PROPAGATION CONSTANTS OF PLANAR OPTICAL-WAVEGUIDE MODES [J].

DERUITER, HM .

APPLIED OPTICS, 1981, 20 (05) :731-732

[6]

Dilz Roeland J., 2018, Progress In Electromagnetics Research B, V80, P37

[7] A domain integral equation approach for simulating two dimensional transverse electric scattering in a layered medium with a Gabor frame discretization [J].

Dilz, R. J. ;

van Beurden, M. C. .

JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 345 :528-542

[8]

Dilz Roeland J., 2016, Progress In Electromagnetics Research B, V69, P117

[9] 2D TM scattering problem for finite dielectric objects in a dielectric stratified medium employing Gabor frames in a domain integral equation [J].

Dilz, Roeland J. ;

van Kraaij, Mark G. M. M. ;

van Beurden, Martijn C. .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2017, 34 (08) :1315-1321

[10]

Feichtinger HG, 1998, APPL NUM HARM ANAL, P1

← 1 2 3 4 →