Features in the diffraction of a scalar plane wave from doubly-periodic Dirichlet and Neumann surfaces
| Autor: | Ingve Simonsen, Arkadiusz Jędrzejewski, Alexei A. Maradudin, Veronica Pérez-Chávez |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Surface (mathematics)
Physics Diffraction Physics and Astronomy (miscellaneous) Mathematical analysis Plane wave Scalar (physics) FOS: Physical sciences Physics::Optics General Physics and Astronomy 02 engineering and technology 01 natural sciences 010309 optics symbols.namesake Распространение волн в неоднородных системах 020210 optoelectronics & photonics Surface wave 0103 physical sciences 0202 electrical engineering electronic engineering information engineering symbols Neumann boundary condition Rayleigh wave Rayleigh scattering Physics - Optics Optics (physics.optics) |
| Zdroj: | Low Temperature Physics. 44:733-743 |
| ISSN: | 1090-6517 1063-777X |
| Popis: | 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. Comment: 16 pages, 5 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|