Design of corrugated optical waveguide filters through a direct numerical solution of the coupled Gel'fand-Levitan-Marchenko integral equations

Papachristos, C; Frangos, P

dc.contributor.author	Papachristos, C	en
dc.contributor.author	Frangos, P	en
dc.date.accessioned	2014-03-01T01:17:41Z
dc.date.available	2014-03-01T01:17:41Z
dc.date.issued	2002	en
dc.identifier.issn	0740-3232	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14623
dc.subject	Integral Equation	en
dc.subject	Numerical Solution	en
dc.subject	Optical Waveguide	en
dc.subject.classification	Optics	en
dc.subject.other	Differential equations	en
dc.subject.other	Integral equations	en
dc.subject.other	Scattering	en
dc.subject.other	Waveguides	en
dc.subject.other	Inverse scattering problem (ISP)	en
dc.subject.other	Optical filters	en
dc.title	Design of corrugated optical waveguide filters through a direct numerical solution of the coupled Gel'fand-Levitan-Marchenko integral equations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1364/JOSAA.19.001005	en
heal.identifier.secondary	http://dx.doi.org/10.1364/JOSAA.19.001005	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	Regarding the design problem of corrugated planar optical waveguide filters, a new numerical method is presented consisting of a direct numerical solution of the coupled Gel'fand-Levitan-Marchenko integral equations. This method, which uses leapfrogging in space and time, is exact in principle and avoids some difficulties encountered in previously derived analytical methods of solution. Straightforward numerical calculations permit the design of several classes of filters such as Butterworth, Chebyshev, Cauer (elliptic) and others, as presented in the paper The accuracy of our proposed method of design is checked in several ways, mainly through the numerical solution of the corresponding direct-scattering problem (Riccati differential equation). (C) 2002 Optical Society of America.	en
heal.publisher	OPTICAL SOC AMER	en
heal.journalName	Journal of the Optical Society of America A: Optics and Image Science, and Vision	en
dc.identifier.doi	10.1364/JOSAA.19.001005	en
dc.identifier.isi	ISI:000175372100018	en
dc.identifier.volume	19	en
dc.identifier.issue	5	en
dc.identifier.spage	1005	en
dc.identifier.epage	1012	en