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.
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Research Article|
May 01 2016
Rayleigh and Wood anomalies in the diffraction of acoustic waves from the periodically corrugated surface of an elastic medium Available to Purchase
A. A. Maradudin;
A. A. Maradudin
a)
Department of Physics and Astronomy,
University of California
, Irvine, California 92697, USA
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I. Simonsen
I. Simonsen
Department of Physics,
NTNU Norwegian University of Science and Technology
, NO-7491 Trondheim, Norway
and Department of Petroleum Engineering, University of Stavanger
, NO-4036 Stavanger, Norway
Search for other works by this author on:
A. A. Maradudin
a)
Department of Physics and Astronomy,
University of California
, Irvine, California 92697, USA
I. Simonsen
Department of Physics,
NTNU Norwegian University of Science and Technology
, NO-7491 Trondheim, Norway
and Department of Petroleum Engineering, University of Stavanger
, NO-4036 Stavanger, Norway
a)
Email: [email protected]
Low Temp. Phys. 42, 354–360 (2016)
Article history
Received:
November 20 2015
Accepted:
April 20 2016
Citation
A. A. Maradudin, I. Simonsen; Rayleigh and Wood anomalies in the diffraction of acoustic waves from the periodically corrugated surface of an elastic medium. Low Temp. Phys. 1 May 2016; 42 (5): 354–360. https://doi.org/10.1063/1.4948617
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