Windowed Green function method for wave scattering by periodic arrays of 2D obstacles
| dc.contributor.author | Strauszer-Caussade, Thomas | |
| dc.contributor.author | Faria, Luiz M. | |
| dc.contributor.author | Fernandez-Lado, Agustin | |
| dc.contributor.author | Perez-Arancibia, Carlos | |
| dc.date.accessioned | 2025-01-20T20:20:31Z | |
| dc.date.available | 2025-01-20T20:20:31Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | This paper introduces a novel boundary integral equation (BIE) method for the numerical solution of problems of planewave scattering by periodic line arrays of two-dimensional penetrable obstacles. Our approach is built upon a direct BIE formulation that leverages the simplicity of the free-space Green function but in turn entails evaluation of integrals over the unit-cell boundaries. Such integrals are here treated via the window Green function method. The windowing approximation together with a finite-rank operator correction-used to properly impose the Rayleigh radiation condition-yield a robust second-kind BIE that produces superalgebraically convergent solutions throughout the spectrum, including at the challenging Rayleigh-Wood anomalies. The corrected windowed BIE can be discretized by means of off-the-shelf Nystrom and boundary element methods, and it leads to linear systems suitable for iterative linear algebra solvers as well as standard fast matrix-vector product algorithms. A variety of numerical examples demonstrate the accuracy and robustness of the proposed methodology. | |
| dc.fuente.origen | WOS | |
| dc.identifier.doi | 10.1111/sapm.12540 | |
| dc.identifier.eissn | 1467-9590 | |
| dc.identifier.issn | 0022-2526 | |
| dc.identifier.uri | https://doi.org/10.1111/sapm.12540 | |
| dc.identifier.uri | https://repositorio.uc.cl/handle/11534/92582 | |
| dc.identifier.wosid | WOS:000879086400001 | |
| dc.issue.numero | 1 | |
| dc.language.iso | en | |
| dc.pagina.final | 315 | |
| dc.pagina.inicio | 277 | |
| dc.revista | Studies in applied mathematics | |
| dc.rights | acceso restringido | |
| dc.subject | boundary-integral equations | |
| dc.subject | diffraction gratings | |
| dc.subject | periodic scattering problems | |
| dc.subject | quasi-periodic Green function | |
| dc.subject | Wood anomaly | |
| dc.title | Windowed Green function method for wave scattering by periodic arrays of 2D obstacles | |
| dc.type | artículo | |
| dc.volumen | 150 | |
| sipa.index | WOS | |
| sipa.trazabilidad | WOS;2025-01-12 |