Diffraction gratings of isotropic negative-phase velocity materials

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Diffraction of electromagnetic plane waves by the gratings made by periodically corrugating the exposed planar boundaries of homogeneous, isotropic, linear dielectric-magnetic half-spaces is examined. The phase velocity vector in the diffracting material can be either co-parallel or anti-parallel to...

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Autores principales:	Depine, R.A., Lakhtakia, A.
Formato:	JOUR
Materias:	Grating Negative-phase velocity Nonspecular diffraction Numerical techniques Surface waves Boundary value problems Dielectric devices Electromagnetism Image analysis Lenses Light polarization Light reflection Light refraction Magnetic materials Maxwell equations Optics Perturbation techniques Vectors Helmholtz equations ii Negative-phase velocity materials Diffraction gratings
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_00304026_v116_n1_p31_Depine
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_00304026_v116_n1_p31_Depine
record_format	dspace
spelling	todo:paper_00304026_v116_n1_p31_Depine2023-10-03T14:40:30Z Diffraction gratings of isotropic negative-phase velocity materials Depine, R.A. Lakhtakia, A. Grating Negative-phase velocity Nonspecular diffraction Numerical techniques Surface waves Boundary value problems Dielectric devices Electromagnetism Image analysis Lenses Light polarization Light reflection Light refraction Magnetic materials Maxwell equations Optics Perturbation techniques Surface waves Vectors Helmholtz equations ii Negative-phase velocity materials Nonspecular diffraction Numerical techniques Diffraction gratings Diffraction of electromagnetic plane waves by the gratings made by periodically corrugating the exposed planar boundaries of homogeneous, isotropic, linear dielectric-magnetic half-spaces is examined. The phase velocity vector in the diffracting material can be either co-parallel or anti-parallel to the time-averaged Poynting vector, thereby allowing for the material to be classified as of either the positive- or the negative-phase velocity (PPV or NPV) type. Three methods used for analyzing dielectric gratings - the Rayleigh-hypothesis method, a perturbative approach, and the C formalism - are extended here to encompass NPV gratings by a careful consideration of field representation inside the refracting half-space. Corrugations of both symmetric as well as asymmetric shapes are studied, as also the diversity of grating response to the linear polarization states of the incident plane wave. The replacement of PPV grating by its NPV analog affects only nonspecular diffraction efficiencies when the corrugations are shallow, and the effect on specular diffraction efficiencies intensifies as the corrugations deepen. Whether the type of the refracting material is NPV or PPV is shown to affect surface wave propagation as well as resonant excitation of surface waves. © 2005 Elsevier GmbH. All rights reserved. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00304026_v116_n1_p31_Depine
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Grating Negative-phase velocity Nonspecular diffraction Numerical techniques Surface waves Boundary value problems Dielectric devices Electromagnetism Image analysis Lenses Light polarization Light reflection Light refraction Magnetic materials Maxwell equations Optics Perturbation techniques Surface waves Vectors Helmholtz equations ii Negative-phase velocity materials Nonspecular diffraction Numerical techniques Diffraction gratings
spellingShingle	Grating Negative-phase velocity Nonspecular diffraction Numerical techniques Surface waves Boundary value problems Dielectric devices Electromagnetism Image analysis Lenses Light polarization Light reflection Light refraction Magnetic materials Maxwell equations Optics Perturbation techniques Surface waves Vectors Helmholtz equations ii Negative-phase velocity materials Nonspecular diffraction Numerical techniques Diffraction gratings Depine, R.A. Lakhtakia, A. Diffraction gratings of isotropic negative-phase velocity materials
topic_facet	Grating Negative-phase velocity Nonspecular diffraction Numerical techniques Surface waves Boundary value problems Dielectric devices Electromagnetism Image analysis Lenses Light polarization Light reflection Light refraction Magnetic materials Maxwell equations Optics Perturbation techniques Surface waves Vectors Helmholtz equations ii Negative-phase velocity materials Nonspecular diffraction Numerical techniques Diffraction gratings
description	Diffraction of electromagnetic plane waves by the gratings made by periodically corrugating the exposed planar boundaries of homogeneous, isotropic, linear dielectric-magnetic half-spaces is examined. The phase velocity vector in the diffracting material can be either co-parallel or anti-parallel to the time-averaged Poynting vector, thereby allowing for the material to be classified as of either the positive- or the negative-phase velocity (PPV or NPV) type. Three methods used for analyzing dielectric gratings - the Rayleigh-hypothesis method, a perturbative approach, and the C formalism - are extended here to encompass NPV gratings by a careful consideration of field representation inside the refracting half-space. Corrugations of both symmetric as well as asymmetric shapes are studied, as also the diversity of grating response to the linear polarization states of the incident plane wave. The replacement of PPV grating by its NPV analog affects only nonspecular diffraction efficiencies when the corrugations are shallow, and the effect on specular diffraction efficiencies intensifies as the corrugations deepen. Whether the type of the refracting material is NPV or PPV is shown to affect surface wave propagation as well as resonant excitation of surface waves. © 2005 Elsevier GmbH. All rights reserved.
format	JOUR
author	Depine, R.A. Lakhtakia, A.
author_facet	Depine, R.A. Lakhtakia, A.
author_sort	Depine, R.A.
title	Diffraction gratings of isotropic negative-phase velocity materials
title_short	Diffraction gratings of isotropic negative-phase velocity materials
title_full	Diffraction gratings of isotropic negative-phase velocity materials
title_fullStr	Diffraction gratings of isotropic negative-phase velocity materials
title_full_unstemmed	Diffraction gratings of isotropic negative-phase velocity materials
title_sort	diffraction gratings of isotropic negative-phase velocity materials
url	http://hdl.handle.net/20.500.12110/paper_00304026_v116_n1_p31_Depine
work_keys_str_mv	AT depinera diffractiongratingsofisotropicnegativephasevelocitymaterials AT lakhtakiaa diffractiongratingsofisotropicnegativephasevelocitymaterials
_version_	1807317191323811840

Diffraction gratings of isotropic negative-phase velocity materials

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