Validity of the Kirchhoff approximation for the scattering of electromagnetic waves from dielectric, doubly periodic surfaces

Accuracy of Kirchhoff approximation (KA) for rough-surface electromagnetic wave scattering is studied by comparison with accurate numerical solutions in the context of three-dimensional dielectric surfaces. The Kirchhoff tangent plane approximation is examined without resorting to the principle of s...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Franco, M., Barber, M., Maas, M., Bruno, O., Grings, F., Calzetta, E.
Formato:	JOUR
Materias:	Circular waveguides Electromagnetic waves Surface scattering Backscattered power Dielectric surface Incident wavelength Kirchhoff approximations Numerical solution Principle of stationary phase Problem parameters Scattering of electromagnetic waves Electromagnetic wave scattering
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_10847529_v34_n12_p2266_Franco
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_10847529_v34_n12_p2266_Franco
record_format	dspace
spelling	todo:paper_10847529_v34_n12_p2266_Franco2023-10-03T16:04:11Z Validity of the Kirchhoff approximation for the scattering of electromagnetic waves from dielectric, doubly periodic surfaces Franco, M. Barber, M. Maas, M. Bruno, O. Grings, F. Calzetta, E. Circular waveguides Electromagnetic waves Surface scattering Backscattered power Dielectric surface Incident wavelength Kirchhoff approximations Numerical solution Principle of stationary phase Problem parameters Scattering of electromagnetic waves Electromagnetic wave scattering Accuracy of Kirchhoff approximation (KA) for rough-surface electromagnetic wave scattering is studied by comparison with accurate numerical solutions in the context of three-dimensional dielectric surfaces. The Kirchhoff tangent plane approximation is examined without resorting to the principle of stationary phase. In particular, it is shown that this additional assumption leads to zero cross-polarized backscattered power, but not the tangent plane approximation itself. Extensive numerical results in the case of a bisinusoidal surface are presented for a wide range of problem parameters: height-to-period, wavelength, incidence angles, and dielectric constants. In particular, this paper shows that the range of validity inherent in the KA includes surfaces whose curvature is not only much smaller, but also comparable to the incident wavelength, with errors smaller than 5% in total reflectivity, thus presenting a detailed and reliable source for the validity of the KA in a three-dimensional fully polarimetric formulation. © 2017 Optical Society of America. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10847529_v34_n12_p2266_Franco
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Circular waveguides Electromagnetic waves Surface scattering Backscattered power Dielectric surface Incident wavelength Kirchhoff approximations Numerical solution Principle of stationary phase Problem parameters Scattering of electromagnetic waves Electromagnetic wave scattering
spellingShingle	Circular waveguides Electromagnetic waves Surface scattering Backscattered power Dielectric surface Incident wavelength Kirchhoff approximations Numerical solution Principle of stationary phase Problem parameters Scattering of electromagnetic waves Electromagnetic wave scattering Franco, M. Barber, M. Maas, M. Bruno, O. Grings, F. Calzetta, E. Validity of the Kirchhoff approximation for the scattering of electromagnetic waves from dielectric, doubly periodic surfaces
topic_facet	Circular waveguides Electromagnetic waves Surface scattering Backscattered power Dielectric surface Incident wavelength Kirchhoff approximations Numerical solution Principle of stationary phase Problem parameters Scattering of electromagnetic waves Electromagnetic wave scattering
description	Accuracy of Kirchhoff approximation (KA) for rough-surface electromagnetic wave scattering is studied by comparison with accurate numerical solutions in the context of three-dimensional dielectric surfaces. The Kirchhoff tangent plane approximation is examined without resorting to the principle of stationary phase. In particular, it is shown that this additional assumption leads to zero cross-polarized backscattered power, but not the tangent plane approximation itself. Extensive numerical results in the case of a bisinusoidal surface are presented for a wide range of problem parameters: height-to-period, wavelength, incidence angles, and dielectric constants. In particular, this paper shows that the range of validity inherent in the KA includes surfaces whose curvature is not only much smaller, but also comparable to the incident wavelength, with errors smaller than 5% in total reflectivity, thus presenting a detailed and reliable source for the validity of the KA in a three-dimensional fully polarimetric formulation. © 2017 Optical Society of America.
format	JOUR
author	Franco, M. Barber, M. Maas, M. Bruno, O. Grings, F. Calzetta, E.
author_facet	Franco, M. Barber, M. Maas, M. Bruno, O. Grings, F. Calzetta, E.
author_sort	Franco, M.
title	Validity of the Kirchhoff approximation for the scattering of electromagnetic waves from dielectric, doubly periodic surfaces
title_short	Validity of the Kirchhoff approximation for the scattering of electromagnetic waves from dielectric, doubly periodic surfaces
title_full	Validity of the Kirchhoff approximation for the scattering of electromagnetic waves from dielectric, doubly periodic surfaces
title_fullStr	Validity of the Kirchhoff approximation for the scattering of electromagnetic waves from dielectric, doubly periodic surfaces
title_full_unstemmed	Validity of the Kirchhoff approximation for the scattering of electromagnetic waves from dielectric, doubly periodic surfaces
title_sort	validity of the kirchhoff approximation for the scattering of electromagnetic waves from dielectric, doubly periodic surfaces
url	http://hdl.handle.net/20.500.12110/paper_10847529_v34_n12_p2266_Franco
work_keys_str_mv	AT francom validityofthekirchhoffapproximationforthescatteringofelectromagneticwavesfromdielectricdoublyperiodicsurfaces AT barberm validityofthekirchhoffapproximationforthescatteringofelectromagneticwavesfromdielectricdoublyperiodicsurfaces AT maasm validityofthekirchhoffapproximationforthescatteringofelectromagneticwavesfromdielectricdoublyperiodicsurfaces AT brunoo validityofthekirchhoffapproximationforthescatteringofelectromagneticwavesfromdielectricdoublyperiodicsurfaces AT gringsf validityofthekirchhoffapproximationforthescatteringofelectromagneticwavesfromdielectricdoublyperiodicsurfaces AT calzettae validityofthekirchhoffapproximationforthescatteringofelectromagneticwavesfromdielectricdoublyperiodicsurfaces
_version_	1782030577453498368

Validity of the Kirchhoff approximation for the scattering of electromagnetic waves from dielectric, doubly periodic surfaces

Ejemplares similares