Rayleigh and Wood anomalies in the diffraction of acoustic waves from the periodically corrugated surface of an elastic medium

By the use of the Rayleigh method we have calculated the angular dependence of the reflectivity and the efficiencies of several other diffracted orders when the periodically corrugated surface of an isotropic elastic medium is illuminated by a volume acoustic wave of shear horizontal polarization. T...

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Veröffentlicht in:Физика низких температур
Datum:2016
Hauptverfasser: Maradudin, A.A., Simonsen, I.
Format: Artikel
Sprache:English
Veröffentlicht: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2016
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Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/129102
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Zitieren:Rayleigh and Wood anomalies in the diffraction of acoustic waves from the periodically corrugated surface of an elastic medium / A.A. Maradudin, I. Simonsen // Физика низких температур. — 2016. — Т. 42, № 5. — С. 455-462. — Бібліогр.: 20 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-129102
record_format dspace
spelling Maradudin, A.A.
Simonsen, I.
2018-01-16T13:20:04Z
2018-01-16T13:20:04Z
2016
Rayleigh and Wood anomalies in the diffraction of acoustic waves from the periodically corrugated surface of an elastic medium / A.A. Maradudin, I. Simonsen // Физика низких температур. — 2016. — Т. 42, № 5. — С. 455-462. — Бібліогр.: 20 назв. — англ.
0132-6414
PACS: 62.30.+d, 46.40.Cd, 68.35.Iv
https://nasplib.isofts.kiev.ua/handle/123456789/129102
By the use of the Rayleigh method we have calculated the angular dependence of the reflectivity and the efficiencies of several other diffracted orders when the periodically corrugated surface of an isotropic elastic medium is illuminated by a volume acoustic wave of shear horizontal polarization. These dependencies display the signatures of Rayleigh and Wood anomalies, usually associated with the diffraction of light from a metallic grating. The Rayleigh anomalies occur at angles of incidence at which a diffracted order appears or disappears; the Wood anomalies here are caused by the excitation of the shear horizontal surface acoustic waves supported by the periodically corrugated surface of an isotropic elastic medium. The dispersion curves of these waves in both the nonradiative and radiative regions of the frequency-wavenumber plane are calculated, and used in predicting the angles of incidence at which the Wood anomalies are expected to occur.
We dedicate this paper to the memory of Professor K.B. Tolpygo, on the occasion of his 100-year anniversary. He was a fine scholar and a fine person, whom it was a pleasure to know. The research of I.S. was supported in part by the Research Council of Norway Contract No. 216699.
en
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
Физика низких температур
К 100-летию со дня рождения К.Б. Толпыго
Rayleigh and Wood anomalies in the diffraction of acoustic waves from the periodically corrugated surface of an elastic medium
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Rayleigh and Wood anomalies in the diffraction of acoustic waves from the periodically corrugated surface of an elastic medium
spellingShingle Rayleigh and Wood anomalies in the diffraction of acoustic waves from the periodically corrugated surface of an elastic medium
Maradudin, A.A.
Simonsen, I.
К 100-летию со дня рождения К.Б. Толпыго
title_short Rayleigh and Wood anomalies in the diffraction of acoustic waves from the periodically corrugated surface of an elastic medium
title_full Rayleigh and Wood anomalies in the diffraction of acoustic waves from the periodically corrugated surface of an elastic medium
title_fullStr Rayleigh and Wood anomalies in the diffraction of acoustic waves from the periodically corrugated surface of an elastic medium
title_full_unstemmed Rayleigh and Wood anomalies in the diffraction of acoustic waves from the periodically corrugated surface of an elastic medium
title_sort rayleigh and wood anomalies in the diffraction of acoustic waves from the periodically corrugated surface of an elastic medium
author Maradudin, A.A.
Simonsen, I.
author_facet Maradudin, A.A.
Simonsen, I.
topic К 100-летию со дня рождения К.Б. Толпыго
topic_facet К 100-летию со дня рождения К.Б. Толпыго
publishDate 2016
language English
container_title Физика низких температур
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
format Article
description By the use of the Rayleigh method we have calculated the angular dependence of the reflectivity and the efficiencies of several other diffracted orders when the periodically corrugated surface of an isotropic elastic medium is illuminated by a volume acoustic wave of shear horizontal polarization. These dependencies display the signatures of Rayleigh and Wood anomalies, usually associated with the diffraction of light from a metallic grating. The Rayleigh anomalies occur at angles of incidence at which a diffracted order appears or disappears; the Wood anomalies here are caused by the excitation of the shear horizontal surface acoustic waves supported by the periodically corrugated surface of an isotropic elastic medium. The dispersion curves of these waves in both the nonradiative and radiative regions of the frequency-wavenumber plane are calculated, and used in predicting the angles of incidence at which the Wood anomalies are expected to occur.
issn 0132-6414
url https://nasplib.isofts.kiev.ua/handle/123456789/129102
citation_txt Rayleigh and Wood anomalies in the diffraction of acoustic waves from the periodically corrugated surface of an elastic medium / A.A. Maradudin, I. Simonsen // Физика низких температур. — 2016. — Т. 42, № 5. — С. 455-462. — Бібліогр.: 20 назв. — англ.
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