Features in the diffraction of a scalar plane wave from doubly-periodic Dirichlet and Neumann surfaces

Распространение волн в неоднородных системах

Автор(и)

  • Alexei A. Maradudin Department of Physics and Astronomy, University of California, Irvine CA 92697, U.S.A.
  • Veronica Pérez-Chávez Centro de Enseñanza Técnica y Superior, Universidad Ensenada Camino a Microondas Trinidad s/n Km. 1, Moderna Oeste, 22860 Ensenada, B.C., México
  • Arkadiusz Jędrzejewski Department of Theoretical Physics, Wroclaw University of Science and Technology, Wroclaw, Poland
  • Ingve Simonsen Surface du Verre et Interfaces, UMR 125 CNRS/Saint-Gobain, F-93303 Aubervilliers, France

DOI:

https://doi.org/10.1063/1.5041441

Ключові слова:

Dirichlet and Neumann surfaces, Rayleigh anomalies, scattering theory.

Анотація

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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Опубліковано

2018-05-18

Як цитувати

(1)
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: Распространение волн в неоднородных системах. Fiz. Nizk. Temp. 2018, 44, 933-945.

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