Features in the diffraction of a scalar plane wave from doubly-periodic Dirichlet and Neumann surfaces
The diffraction of a scalar plane wave from a doubly-periodic surface on which either the Dirichlet or Neumann boundary condition is imposed is studied by means of a rigorous numerical solution of the Rayleigh equation for the amplitudes of the diffracted Bragg beams. From the results of these calcu...
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| Veröffentlicht in: | Физика низких температур |
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| Datum: | 2018 |
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| Sprache: | Englisch |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2018
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/176200 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Features in the diffraction of a scalar plane wave from doubly-periodic Dirichlet and Neumann surfaces / A.A. Maradudin, V. Pérez-Chávez, A. Jędrzejewski, I. Simonsen// Физика низких температур. — 2018. — Т. 44, № 7. — С. 933-945. — Бібліогр.: 39 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862744463902769152 |
|---|---|
| author | Maradudin, A.A. Pérez-Chávez, V. Jędrzejewski, A. Simonsen, I. |
| author_facet | Maradudin, A.A. Pérez-Chávez, V. Jędrzejewski, A. Simonsen, I. |
| citation_txt | Features in the diffraction of a scalar plane wave from doubly-periodic Dirichlet and Neumann surfaces / A.A. Maradudin, V. Pérez-Chávez, A. Jędrzejewski, I. Simonsen// Физика низких температур. — 2018. — Т. 44, № 7. — С. 933-945. — Бібліогр.: 39 назв. — англ. |
| collection | DSpace DC |
| container_title | Физика низких температур |
| description | The diffraction of a scalar plane wave from a doubly-periodic surface on which either the Dirichlet or Neumann boundary condition is imposed is studied by means of a rigorous numerical solution of the Rayleigh equation for the amplitudes of the diffracted Bragg beams. From the results of these calculations the diffraction efficiencies of several of the lowest order diffracted beams are calculated as functions of the polar and azimuthal angles of incidence. The angular dependencies of the diffraction efficiencies display features that can be identified as Rayleigh anomalies for both types of surfaces. In the case of a Neumann surface additional features are present that can be attributed to the existence of surface waves on such surfaces. Some of the results obtained through the use of the Rayleigh equation are validated by comparing them with results of a rigorous Green’s function numerical calculation.
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| first_indexed | 2025-12-07T20:36:00Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-176200 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0132-6414 |
| language | English |
| last_indexed | 2025-12-07T20:36:00Z |
| publishDate | 2018 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Maradudin, A.A. Pérez-Chávez, V. Jędrzejewski, A. Simonsen, I. 2021-02-04T07:08:32Z 2021-02-04T07:08:32Z 2018 Features in the diffraction of a scalar plane wave from doubly-periodic Dirichlet and Neumann surfaces / A.A. Maradudin, V. Pérez-Chávez, A. Jędrzejewski, I. Simonsen// Физика низких температур. — 2018. — Т. 44, № 7. — С. 933-945. — Бібліогр.: 39 назв. — англ. 0132-6414 PACS: 43.20.+g, 47.35.Rs https://nasplib.isofts.kiev.ua/handle/123456789/176200 The diffraction of a scalar plane wave from a doubly-periodic surface on which either the Dirichlet or Neumann boundary condition is imposed is studied by means of a rigorous numerical solution of the Rayleigh equation for the amplitudes of the diffracted Bragg beams. From the results of these calculations the diffraction efficiencies of several of the lowest order diffracted beams are calculated as functions of the polar and azimuthal angles of incidence. The angular dependencies of the diffraction efficiencies display features that can be identified as Rayleigh anomalies for both types of surfaces. In the case of a Neumann surface additional features are present that can be attributed to the existence of surface waves on such surfaces. Some of the results obtained through the use of the Rayleigh equation are validated by comparing them with results of a rigorous Green’s function numerical calculation. We dedicate this paper to the memory of Arnold
 Markovich Kosevich. He contributed outstanding work to
 many areas of condensed matter theory, and it was a pleasure
 to know him. The research of I.S. was supported in part by
 the Research Council of Norway (Contract 216699) and the
 French National Research Agency (ANR-15-CHIN-0003) en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Распространение волн в неоднородных системах Features in the diffraction of a scalar plane wave from doubly-periodic Dirichlet and Neumann surfaces Article published earlier |
| spellingShingle | Features in the diffraction of a scalar plane wave from doubly-periodic Dirichlet and Neumann surfaces Maradudin, A.A. Pérez-Chávez, V. Jędrzejewski, A. Simonsen, I. Распространение волн в неоднородных системах |
| title | Features in the diffraction of a scalar plane wave from doubly-periodic Dirichlet and Neumann surfaces |
| title_full | Features in the diffraction of a scalar plane wave from doubly-periodic Dirichlet and Neumann surfaces |
| title_fullStr | Features in the diffraction of a scalar plane wave from doubly-periodic Dirichlet and Neumann surfaces |
| title_full_unstemmed | Features in the diffraction of a scalar plane wave from doubly-periodic Dirichlet and Neumann surfaces |
| title_short | Features in the diffraction of a scalar plane wave from doubly-periodic Dirichlet and Neumann surfaces |
| title_sort | features in the diffraction of a scalar plane wave from doubly-periodic dirichlet and neumann surfaces |
| topic | Распространение волн в неоднородных системах |
| topic_facet | Распространение волн в неоднородных системах |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/176200 |
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