Marching schemes for Cauchy wave propagation problems in laterally varying waveguides

Autor:	Keying Liu, Weizhou Zhong, Peng Li
Rok vydání:	2017
Předmět:	010101 applied mathematics 010309 optics Physics Wave propagation Applied Mathematics 0103 physical sciences Mathematical analysis Physics::Optics Cauchy distribution 0101 mathematics 01 natural sciences
Zdroj:	Journal of Inverse and Ill-posed Problems. 26:259-276
ISSN:	1569-3945 0928-0219
DOI:	10.1515/jiip-2016-0044
Popis:	This paper intends to develop practical marching schemes for Cauchy problems of the Helmholtz equation in laterally varying waveguides. We arrive at a stable representation of the marching solutions in waveguides. Based on the representation, a second-order marching scheme is then constructed to eliminate the ill-conditioning and compute the wave propagation in waveguides with laterally variable mediums. In the end, extensive experiments are implemented to verify the efficiency and accuracy of the marching scheme in various waveguides, and we also point out the application scope of the scheme.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::76cfac91994ccbaf850558b163f4de38 https://doi.org/10.1515/jiip-2016-0044 Zobrazit plný text záznamu