Modal analysis of diffraction by snake gratings using a tensor product of pseudo-periodic functions and Legendre polynomials

被引：1

作者：

Rasoamilanto, Malalatiana Rinah ^{[1
]}

Randriamihaja, Manjakavola Honorg ^{[1
]}

Andriamanampisoa, Lala Bakonirina ^{[1
]}

Granet, Gerard ^{[2
]}

Raniriharinosy, Karyl ^{[1
]}

机构：

[1] Univ Fianarantsoa, LAPAUF, BP 1264, Fianarantsoa, Madagascar

[2] Univ Clermont Auvergne, Inst Pascal, CNRS, SIGMA Clermont, F-63000 Clermont Ferrand, France

来源：

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 2023年 / 40卷 / 08期

关键词：

NORMAL VECTOR METHOD; FORMULATION; CONVERGENCE; EXPANSION; EQUATIONS; RCWA;

D O I：

10.1364/JOSAA.493235

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The problem of diffraction by snake gratings is presented and formulated as an eigenvalue eigenvector problem. A numerical solution is obtained thanks to the method of moments where a tensor product of pseudo-periodic functions and Legendre polynomials is used as expansion and test functions. The method is validated by comparison with the usual Fourier modal method (FMM) as applied to crossed gratings. Our method is shown to be more efficient than the FMM in the case of metallic gratings. & COPY; 2023 Optica Publishing Group

引用

页码：1628 / 1634

页数：7

共 10 条

[1] Analysis of lossy dielectric gratings using pseudo-periodic Green's function
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