Conformal mapping method for electromagnetic scattering at the boundary of an uniaxial crystal and a periodically corrugated perfect conductor

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Conformal mapping method for electromagnetic scattering at the boundary of an uniaxial crystal and a periodically corrugated perfect conductor. A rigorous electromagnetic approach to wave scattering by one-dimensional, periodically corrugated interfaces between an uniaxial crystal and a perfect cond...

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Detalles Bibliográficos
Autores principales:	Inchaussandague, M.E., Depine, R.A.
Formato:	JOUR
Materias:	Boundary conditions Carrier communication Conformal mapping Differential equations Electric conductors Electromagnetic fields Electromagnetic wave diffraction Single crystals Corrugated interfaces Optic axis Perfectly conducting boundary Transformed propagation equations Triangular shape Electromagnetic wave scattering
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_00304026_v102_n4_p147_Inchaussandague
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_00304026_v102_n4_p147_Inchaussandague
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spelling	todo:paper_00304026_v102_n4_p147_Inchaussandague2023-10-03T14:40:19Z Conformal mapping method for electromagnetic scattering at the boundary of an uniaxial crystal and a periodically corrugated perfect conductor Inchaussandague, M.E. Depine, R.A. Boundary conditions Carrier communication Conformal mapping Differential equations Electric conductors Electromagnetic fields Electromagnetic wave diffraction Single crystals Corrugated interfaces Optic axis Perfectly conducting boundary Transformed propagation equations Triangular shape Electromagnetic wave scattering Conformal mapping method for electromagnetic scattering at the boundary of an uniaxial crystal and a periodically corrugated perfect conductor. A rigorous electromagnetic approach to wave scattering by one-dimensional, periodically corrugated interfaces between an uniaxial crystal and a perfect conductor is presented for the case of arbitrary orientations between the optic axis of the crystal and the mean interface. The fully vectorial treatment is first simplified by writing the total fields in terms of the components of the electric and magnetic fields along the grooves direction Then a coordinate transformation that maps the corrugated interface into a plane is used and the transformed propagation equations are solved by means of a differential method. The method presented here could be regarded as the extension to uniaxial-perfectly conducting boundaries of the conformal mapping method proposed by Nevière et al. for isotropic-perfectly conducting boundaries [1]. The new method is applied to study the diffraction of ordinary and extraordinary modes at a perfectly conducting boundary with grooves of triangular shape. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00304026_v102_n4_p147_Inchaussandague
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Boundary conditions Carrier communication Conformal mapping Differential equations Electric conductors Electromagnetic fields Electromagnetic wave diffraction Single crystals Corrugated interfaces Optic axis Perfectly conducting boundary Transformed propagation equations Triangular shape Electromagnetic wave scattering
spellingShingle	Boundary conditions Carrier communication Conformal mapping Differential equations Electric conductors Electromagnetic fields Electromagnetic wave diffraction Single crystals Corrugated interfaces Optic axis Perfectly conducting boundary Transformed propagation equations Triangular shape Electromagnetic wave scattering Inchaussandague, M.E. Depine, R.A. Conformal mapping method for electromagnetic scattering at the boundary of an uniaxial crystal and a periodically corrugated perfect conductor
topic_facet	Boundary conditions Carrier communication Conformal mapping Differential equations Electric conductors Electromagnetic fields Electromagnetic wave diffraction Single crystals Corrugated interfaces Optic axis Perfectly conducting boundary Transformed propagation equations Triangular shape Electromagnetic wave scattering
description	Conformal mapping method for electromagnetic scattering at the boundary of an uniaxial crystal and a periodically corrugated perfect conductor. A rigorous electromagnetic approach to wave scattering by one-dimensional, periodically corrugated interfaces between an uniaxial crystal and a perfect conductor is presented for the case of arbitrary orientations between the optic axis of the crystal and the mean interface. The fully vectorial treatment is first simplified by writing the total fields in terms of the components of the electric and magnetic fields along the grooves direction Then a coordinate transformation that maps the corrugated interface into a plane is used and the transformed propagation equations are solved by means of a differential method. The method presented here could be regarded as the extension to uniaxial-perfectly conducting boundaries of the conformal mapping method proposed by Nevière et al. for isotropic-perfectly conducting boundaries [1]. The new method is applied to study the diffraction of ordinary and extraordinary modes at a perfectly conducting boundary with grooves of triangular shape.
format	JOUR
author	Inchaussandague, M.E. Depine, R.A.
author_facet	Inchaussandague, M.E. Depine, R.A.
author_sort	Inchaussandague, M.E.
title	Conformal mapping method for electromagnetic scattering at the boundary of an uniaxial crystal and a periodically corrugated perfect conductor
title_short	Conformal mapping method for electromagnetic scattering at the boundary of an uniaxial crystal and a periodically corrugated perfect conductor
title_full	Conformal mapping method for electromagnetic scattering at the boundary of an uniaxial crystal and a periodically corrugated perfect conductor
title_fullStr	Conformal mapping method for electromagnetic scattering at the boundary of an uniaxial crystal and a periodically corrugated perfect conductor
title_full_unstemmed	Conformal mapping method for electromagnetic scattering at the boundary of an uniaxial crystal and a periodically corrugated perfect conductor
title_sort	conformal mapping method for electromagnetic scattering at the boundary of an uniaxial crystal and a periodically corrugated perfect conductor
url	http://hdl.handle.net/20.500.12110/paper_00304026_v102_n4_p147_Inchaussandague
work_keys_str_mv	AT inchaussandagueme conformalmappingmethodforelectromagneticscatteringattheboundaryofanuniaxialcrystalandaperiodicallycorrugatedperfectconductor AT depinera conformalmappingmethodforelectromagneticscatteringattheboundaryofanuniaxialcrystalandaperiodicallycorrugatedperfectconductor
_version_	1807322811379744768

Conformal mapping method for electromagnetic scattering at the boundary of an uniaxial crystal and a periodically corrugated perfect conductor

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