A semianalytical method of mode determination for a multilayer planar optical waveguide

Autor:	Aleksei A Stratonnikov, Alexandr P Bogatov, F F Kamenets, A E Drakin
Rok vydání:	2002
Předmět:	Physics business.industry Planar optical waveguide Argument principle Dielectric Laser Atomic and Molecular Physics and Optics law.invention Optics Planar law Propagation constant business Complex plane
Zdroj:	Journal of Optics A: Pure and Applied Optics. 4:535-539
ISSN:	1464-4258
DOI:	10.1088/1464-4258/4/5/308
Popis:	A new method for mode determination of multilayer planar waveguides with complex-valued dielectric permeability is proposed. The method is based on the combination of an argument principle in complex analysis and a quasi-Newton method. The argument principle allows reliable determination of the number of modes within any finite region of the complex plane representing the propagation constants. This makes it possible to locate the propagation constants to the precision sufficient for the usage of the quasi-Newton method. The method involves 'tracking of the phase' of a complex function instead of conventional integration along a contour.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::121762e9e2fe481c69befa5da41fd10d https://doi.org/10.1088/1464-4258/4/5/308 Zobrazit plný text záznamu