Eigenmodes of index-modulated layers with lateral PMLs

Maxwell equations are solved in a layer comprising a finite number of homogeneous isotropic dielectric regions ended by anisotropic perfectly matched layers (PMLs). The boundary-value problem is solved and the dispersion relation inside the PML is derived. The general expression of the eigenvalues e...

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Publicado:	2005
Materias:	Eigenmodes Modal method Perfectly matched layers Scattering Boundary conditions Boundary value problems Dielectric materials Eigenvalues and eigenfunctions Finite difference method Light propagation Light scattering Maxwell equations Index-modulated structures Modal methods Light modulation
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00304026_v116_n7_p343_Skigin http://hdl.handle.net/20.500.12110/paper_00304026_v116_n7_p343_Skigin
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_00304026_v116_n7_p343_Skigin
record_format	dspace
spelling	paper:paper_00304026_v116_n7_p343_Skigin2023-06-08T14:56:19Z Eigenmodes of index-modulated layers with lateral PMLs Eigenmodes Modal method Perfectly matched layers Scattering Boundary conditions Boundary value problems Dielectric materials Eigenvalues and eigenfunctions Finite difference method Light propagation Light scattering Maxwell equations Eigenmodes Index-modulated structures Modal methods Perfectly matched layers Light modulation Maxwell equations are solved in a layer comprising a finite number of homogeneous isotropic dielectric regions ended by anisotropic perfectly matched layers (PMLs). The boundary-value problem is solved and the dispersion relation inside the PML is derived. The general expression of the eigenvalues equation for an arbitrary number of regions in each layer is obtained, and both polarization modes are considered. The modal functions of a single layer ended by PMLs are found, and their orthogonality relation is derived. The present method is useful to simulate scattering problems from dielectric objects as well as propagation in planar slab waveguides. Its potential to deal with more complex problems such as the scattering from an object with arbitrary cross section in open space using the multilayer modal method is briefly discussed. © 2005 Elsevier GmbH. All rights reserved. 2005 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00304026_v116_n7_p343_Skigin http://hdl.handle.net/20.500.12110/paper_00304026_v116_n7_p343_Skigin
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Eigenmodes Modal method Perfectly matched layers Scattering Boundary conditions Boundary value problems Dielectric materials Eigenvalues and eigenfunctions Finite difference method Light propagation Light scattering Maxwell equations Eigenmodes Index-modulated structures Modal methods Perfectly matched layers Light modulation
spellingShingle	Eigenmodes Modal method Perfectly matched layers Scattering Boundary conditions Boundary value problems Dielectric materials Eigenvalues and eigenfunctions Finite difference method Light propagation Light scattering Maxwell equations Eigenmodes Index-modulated structures Modal methods Perfectly matched layers Light modulation Eigenmodes of index-modulated layers with lateral PMLs
topic_facet	Eigenmodes Modal method Perfectly matched layers Scattering Boundary conditions Boundary value problems Dielectric materials Eigenvalues and eigenfunctions Finite difference method Light propagation Light scattering Maxwell equations Eigenmodes Index-modulated structures Modal methods Perfectly matched layers Light modulation
description	Maxwell equations are solved in a layer comprising a finite number of homogeneous isotropic dielectric regions ended by anisotropic perfectly matched layers (PMLs). The boundary-value problem is solved and the dispersion relation inside the PML is derived. The general expression of the eigenvalues equation for an arbitrary number of regions in each layer is obtained, and both polarization modes are considered. The modal functions of a single layer ended by PMLs are found, and their orthogonality relation is derived. The present method is useful to simulate scattering problems from dielectric objects as well as propagation in planar slab waveguides. Its potential to deal with more complex problems such as the scattering from an object with arbitrary cross section in open space using the multilayer modal method is briefly discussed. © 2005 Elsevier GmbH. All rights reserved.
title	Eigenmodes of index-modulated layers with lateral PMLs
title_short	Eigenmodes of index-modulated layers with lateral PMLs
title_full	Eigenmodes of index-modulated layers with lateral PMLs
title_fullStr	Eigenmodes of index-modulated layers with lateral PMLs
title_full_unstemmed	Eigenmodes of index-modulated layers with lateral PMLs
title_sort	eigenmodes of index-modulated layers with lateral pmls
publishDate	2005
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00304026_v116_n7_p343_Skigin http://hdl.handle.net/20.500.12110/paper_00304026_v116_n7_p343_Skigin
_version_	1768546665485041664

Eigenmodes of index-modulated layers with lateral PMLs

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