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...
Збережено в:
| Дата: | 2018 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2018
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| Назва видання: | Физика низких температур |
| Теми: | |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/176200 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-176200 |
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dspace |
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irk-123456789-1762002021-02-05T01:30:36Z 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 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. 2018 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/176200 en Физика низких температур Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| topic |
Распространение волн в неоднородных системах Распространение волн в неоднородных системах |
| spellingShingle |
Распространение волн в неоднородных системах Распространение волн в неоднородных системах Maradudin, A.A. Pérez-Chávez, V. Jędrzejewski, A. Simonsen, I. Features in the diffraction of a scalar plane wave from doubly-periodic Dirichlet and Neumann surfaces 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. |
| format |
Article |
| author |
Maradudin, A.A. Pérez-Chávez, V. Jędrzejewski, A. Simonsen, I. |
| author_facet |
Maradudin, A.A. Pérez-Chávez, V. Jędrzejewski, A. Simonsen, I. |
| author_sort |
Maradudin, A.A. |
| title |
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_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_sort |
features in the diffraction of a scalar plane wave from doubly-periodic dirichlet and neumann surfaces |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2018 |
| topic_facet |
Распространение волн в неоднородных системах |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/176200 |
| 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. |
| series |
Физика низких температур |
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AT maradudinaa featuresinthediffractionofascalarplanewavefromdoublyperiodicdirichletandneumannsurfaces AT perezchavezv featuresinthediffractionofascalarplanewavefromdoublyperiodicdirichletandneumannsurfaces AT jedrzejewskia featuresinthediffractionofascalarplanewavefromdoublyperiodicdirichletandneumannsurfaces AT simonseni featuresinthediffractionofascalarplanewavefromdoublyperiodicdirichletandneumannsurfaces |
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2023-10-18T22:40:41Z |
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2023-10-18T22:40:41Z |
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