Title :
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
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;
Conference_Titel :
Laser and Fiber-Optical Networks Modeling (LFNM), 2011 11th International Conference on
Conference_Location :
Kharkov
Print_ISBN :
978-1-61284-811-2
DOI :
10.1109/LFNM.2011.6145008
