Electromagnetic fields in linear and nonlinear chiral media: a time-domain analysis

We present several recent and novel results on the formulation and the analysis of the equations governing the evolution of electromagnetic fields in chiral media in the time domain. In particular, we present results concerning the well-posedness and the solvability of the problem for linear, time-d...

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Main Authors: Ioannis G. Stratis, Athanasios N. Yannacopoulos
Format: Article
Language:English
Published: Wiley 2004-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S1085337504306287
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author Ioannis G. Stratis
Athanasios N. Yannacopoulos
author_facet Ioannis G. Stratis
Athanasios N. Yannacopoulos
author_sort Ioannis G. Stratis
collection DOAJ
description We present several recent and novel results on the formulation and the analysis of the equations governing the evolution of electromagnetic fields in chiral media in the time domain. In particular, we present results concerning the well-posedness and the solvability of the problem for linear, time-dependent, and nonlocal media, andresults concerning the validity of the local approximation of the nonlocal medium (optical response approximation). The paper concludes with the study of a class of nonlinear chiral media exhibiting Kerr-like nonlinearities, for which the existence of bright and dark solitary waves is shown.
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spelling doaj-art-0db252d71f5649bcb368e25370471d232025-02-03T06:11:36ZengWileyAbstract and Applied Analysis1085-33751687-04092004-01-012004647148610.1155/S1085337504306287Electromagnetic fields in linear and nonlinear chiral media: a time-domain analysisIoannis G. Stratis0Athanasios N. Yannacopoulos1Department of Mathematics, University of Athens, Panepistimiopolis, Zographou, Athens 15784, GreeceDepartment of Statistics and Actuarial Science, University of the Aegean, Karlovassi, Samos 83200, GreeceWe present several recent and novel results on the formulation and the analysis of the equations governing the evolution of electromagnetic fields in chiral media in the time domain. In particular, we present results concerning the well-posedness and the solvability of the problem for linear, time-dependent, and nonlocal media, andresults concerning the validity of the local approximation of the nonlocal medium (optical response approximation). The paper concludes with the study of a class of nonlinear chiral media exhibiting Kerr-like nonlinearities, for which the existence of bright and dark solitary waves is shown.http://dx.doi.org/10.1155/S1085337504306287
spellingShingle Ioannis G. Stratis
Athanasios N. Yannacopoulos
Electromagnetic fields in linear and nonlinear chiral media: a time-domain analysis
Abstract and Applied Analysis
title Electromagnetic fields in linear and nonlinear chiral media: a time-domain analysis
title_full Electromagnetic fields in linear and nonlinear chiral media: a time-domain analysis
title_fullStr Electromagnetic fields in linear and nonlinear chiral media: a time-domain analysis
title_full_unstemmed Electromagnetic fields in linear and nonlinear chiral media: a time-domain analysis
title_short Electromagnetic fields in linear and nonlinear chiral media: a time-domain analysis
title_sort electromagnetic fields in linear and nonlinear chiral media a time domain analysis
url http://dx.doi.org/10.1155/S1085337504306287
work_keys_str_mv AT ioannisgstratis electromagneticfieldsinlinearandnonlinearchiralmediaatimedomainanalysis
AT athanasiosnyannacopoulos electromagneticfieldsinlinearandnonlinearchiralmediaatimedomainanalysis