Diffraction grating with varying slit width: Quasi-periodic homogenization and its numerical implementation

被引：5

作者：

Pham, Kim ^{[1
]}

Lebbe, Nicolas ^{[2
]}

Maurel, Agnes ^{[2
]}

机构：

[1] Inst Polytech Paris, IMSIA, CNRS, EDF,CNRS,ENSTA Paris, 828 Bd Marechaux, F-91732 Palaiseau, France

[2] PSL Univ, Inst Langevin, ESPCI Paris, CNRS, 1 rue Jussieu, F-75005 Paris, France

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2023年 / 473卷

关键词：

Diffraction grating; Interface homogenization; Quasi -periodic homogenization; Numerical multimodal methods; WAVE-PROPAGATION;

D O I：

10.1016/j.jcp.2022.111727

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We study the diffraction of acoustic waves by thin grating with varying slit width. Using quasi-periodic homogenization, we derive an effective model in which the grating is replaced by effective jump conditions with effective parameters varying along the equivalent interface. The numerical implementations of the actual problem and of its homogenized counterpart are achieved using multimodal methods for a periodic grating with a macro-period containing many slits with varying widths. The ability of the effective grating to reproduce the scattering properties of the actual one is inspected and discussed. (c) 2022 Elsevier Inc. All rights reserved.

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页数：15

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