TY - JOUR
T1 - Diffraction grating with varying slit width
T2 - Quasi-periodic homogenization and its numerical implementation
AU - Pham, Kim
AU - Lebbe, Nicolas
AU - Maurel, Agnès
N1 - Publisher Copyright:
© 2022 Elsevier Inc.
PY - 2023/1/15
Y1 - 2023/1/15
N2 - 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.
AB - 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.
KW - Diffraction grating
KW - Interface homogenization
KW - Numerical multimodal methods
KW - Quasi-periodic homogenization
U2 - 10.1016/j.jcp.2022.111727
DO - 10.1016/j.jcp.2022.111727
M3 - Article
AN - SCOPUS:85140808516
SN - 0021-9991
VL - 473
JO - Journal of Computational Physics
JF - Journal of Computational Physics
M1 - 111727
ER -