Advanced mode solver using an integral equation technique and entire domain plane wave basis functions

Polychronopoulos, SJ; Athanasoulias, GB; Uzunoglu, NK

dc.contributor.author	Polychronopoulos, SJ	en
dc.contributor.author	Athanasoulias, GB	en
dc.contributor.author	Uzunoglu, NK	en
dc.date.accessioned	2014-03-01T01:12:36Z
dc.date.available	2014-03-01T01:12:36Z
dc.date.issued	1997	en
dc.identifier.issn	0306-8919	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12155
dc.subject	Analysis and Modelling	en
dc.subject	Cross Section	en
dc.subject	Dielectric Waveguide	en
dc.subject	Dispersion Curve	en
dc.subject	Electric Field	en
dc.subject	Integral Equation	en
dc.subject	Integrated Circuit	en
dc.subject	Plane Waves	en
dc.subject	Satisfiability	en
dc.subject	Transmission Line	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.classification	Optics	en
dc.subject.other	Approximation theory	en
dc.subject.other	Dielectric waveguides	en
dc.subject.other	Electric fields	en
dc.subject.other	Electric losses	en
dc.subject.other	Electromagnetic dispersion	en
dc.subject.other	Integral equations	en
dc.subject.other	Mathematical models	en
dc.subject.other	Maxwell equations	en
dc.subject.other	Millimeter wave devices	en
dc.subject.other	Numerical analysis	en
dc.subject.other	Rectangular waveguides	en
dc.subject.other	Galerkin's technique	en
dc.subject.other	Plane wave basis functions	en
dc.subject.other	Waveguide mode calculations	en
dc.subject.other	Integrated optoelectronics	en
dc.title	Advanced mode solver using an integral equation technique and entire domain plane wave basis functions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1023/A:1018593719906	en
heal.identifier.secondary	http://dx.doi.org/10.1023/A:1018593719906	en
heal.language	English	en
heal.publicationDate	1997	en
heal.abstract	This work deals with the analysis and modelling of optical and millimetre-wave integrated circuits. The mathematical formulation is based on the method of integral equations, which are subsequently solved numerically by employing Galerkin's technique. The novel concept in this work lies with the development of a set of entire domain basis functions used to expand the unknown electric field in the waveguides' cross-sections. These functions have the simple form of plane waves and satisfy Maxwell's equations, therefore representing a proper expansion mechanism. As a demonstration of the developed computer code, configurations of single and coupled rectangular dielectric waveguides in a wide variety of open and closed substrate geometries are examined. The results presented, concerning the dispersion curves and the field patterns, give excellent agreement with published results of other methods. Furthermore, attenuation constants of lossy waveguides are numerically investigated. The main conclusion of the research presented in this contribution is that the entire domain plane wave basis functions (PWBFs) introduced provide a powerful tool for the unified modelling of a wide class of optical and millimetre-wave transmission lines.	en
heal.publisher	CHAPMAN HALL LTD	en
heal.journalName	Optical and Quantum Electronics	en
dc.identifier.doi	10.1023/A:1018593719906	en
dc.identifier.isi	ISI:A1997WQ92400005	en
dc.identifier.volume	29	en
dc.identifier.issue	2	en
dc.identifier.spage	127	en
dc.identifier.epage	137	en