Application of Fourier transforms to find propagation constants of the localized modes symmetric planar waveguides. Analogies in the quantum mechanics

Author

Fitio, V.M. ; Roinakh, V.V. ; Bobitski, Ya V.

Author_Institution

Dept. of Photonics, Lviv Polytech. Nat. Univ., Lviv, Ukraine

fYear

2011

fDate

5-9 Sept. 2011

Firstpage

1

Lastpage

3

Abstract

Numerical method of finding propagation constants of the localized modes of symmetric planar waveguides and solution of the stationary Schrödinger equation is developed. The method is based on Fourier transform of the wave equation and as result is obtained an integral equation in which the integral is replaced by summation. In of the final case, we obtain of linear algebra problem on the eigenvalues and eigenvectors. The method is tested on many examples.

Keywords

Fourier transform optics; Schrodinger equation; eigenvalues and eigenfunctions; integral equations; light propagation; localised modes; optical planar waveguides; Fourier transforms; eigenvalues; eigenvectors; integral equation; linear algebra problem; localized modes; propagation constants; quantum mechanics; stationary Schrodinger equation; symmetric planar waveguides; wave equation; Eigenvalues and eigenfunctions; Fourier transforms; Tiles;

fLanguage

English

Publisher

ieee

Conference_Titel

Laser and Fiber-Optical Networks Modeling (LFNM), 2011 11th International Conference on

Conference_Location

Kharkov

ISSN

Pending

Print_ISBN

978-1-61284-811-2

Type

conf

DOI

10.1109/LFNM.2011.6145008

Filename

6145008