Scattering of a wave at a periodic boundary: Analytical expression for the surface impedance

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A surface-impedance boundary condition is obtained from first principles for problems involving the scattering of two-dimensional waves by cylindrical periodical surfaces of arbitrary shape. The analysis is performed in the context of the electromagnetic theory of gratings, but it is also applicable...

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Autor principal: Depine, Ricardo Angel
Publicado: 1988
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10847529_v5_n4_p507_Depine
http://hdl.handle.net/20.500.12110/paper_10847529_v5_n4_p507_Depine
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_10847529_v5_n4_p507_Depine2023-06-08T16:06:02Z Scattering of a wave at a periodic boundary: Analytical expression for the surface impedance Depine, Ricardo Angel A surface-impedance boundary condition is obtained from first principles for problems involving the scattering of two-dimensional waves by cylindrical periodical surfaces of arbitrary shape. The analysis is performed in the context of the electromagnetic theory of gratings, but it is also applicable to other physical situations, leading to the solution of a two-dimensional Helmholtz equation with high values for index of refraction. The boundary condition deduced here is shown to be analogous to the one suggested by Leontovich for quasi-planar boundaries if Z0 the quantity relating the field and its normal derivative at the boundary and depending only on the constitutive properties of the medium, is replaced by another quantity Z, which also depends on the local curvature of the surface. and on the polarization of the external fields; Z0 is the zero-order term in the expansion of Z in terms of the curvature. © 1988 Optical Society of America. Fil:Depine, R.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1988 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10847529_v5_n4_p507_Depine http://hdl.handle.net/20.500.12110/paper_10847529_v5_n4_p507_Depine
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description A surface-impedance boundary condition is obtained from first principles for problems involving the scattering of two-dimensional waves by cylindrical periodical surfaces of arbitrary shape. The analysis is performed in the context of the electromagnetic theory of gratings, but it is also applicable to other physical situations, leading to the solution of a two-dimensional Helmholtz equation with high values for index of refraction. The boundary condition deduced here is shown to be analogous to the one suggested by Leontovich for quasi-planar boundaries if Z0 the quantity relating the field and its normal derivative at the boundary and depending only on the constitutive properties of the medium, is replaced by another quantity Z, which also depends on the local curvature of the surface. and on the polarization of the external fields; Z0 is the zero-order term in the expansion of Z in terms of the curvature. © 1988 Optical Society of America.
author Depine, Ricardo Angel
spellingShingle Depine, Ricardo Angel
Scattering of a wave at a periodic boundary: Analytical expression for the surface impedance
author_facet Depine, Ricardo Angel
author_sort Depine, Ricardo Angel
title Scattering of a wave at a periodic boundary: Analytical expression for the surface impedance
title_short Scattering of a wave at a periodic boundary: Analytical expression for the surface impedance
title_full Scattering of a wave at a periodic boundary: Analytical expression for the surface impedance
title_fullStr Scattering of a wave at a periodic boundary: Analytical expression for the surface impedance
title_full_unstemmed Scattering of a wave at a periodic boundary: Analytical expression for the surface impedance
title_sort scattering of a wave at a periodic boundary: analytical expression for the surface impedance
publishDate 1988
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10847529_v5_n4_p507_Depine
http://hdl.handle.net/20.500.12110/paper_10847529_v5_n4_p507_Depine
work_keys_str_mv AT depinericardoangel scatteringofawaveataperiodicboundaryanalyticalexpressionforthesurfaceimpedance
_version_ 1768544607451217920

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