Title :
Mathematical analysis of the guided modes of an integrated optical guide
Author :
Kartchevski, Evgueni ; Hanson, George
Author_Institution :
Dept. of Appl. Math., Kazan State Univ., Russia
Abstract :
The eigenvalue problem for guided modes of an integrated optical guide is reduced to a strongly-singular domain integral equation. It is proved that the operator of the domain integral equation is a Fredholm operator with zero index. It is also proved that the spectrum of the original problem can only be a set of isolated points.
Keywords :
Fredholm integral equations; eigenvalues and eigenfunctions; integrated optics; optical fibres; optical planar waveguides; Fredholm operator; eigenvalue problem; guided modes; integrated optical guide; isolated points; strongly-singular domain integral equation; zero index; Eigenvalues and eigenfunctions; Integral equations; Integrated optics; Mathematical analysis; Optical fibers; Optical refraction; Optical variables control; Planar waveguides; Propagation constant; Refractive index;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory, 2002. MMET '02. 2002 International Conference on
Conference_Location :
Kiev, Ukraine
Print_ISBN :
0-7803-7391-X
DOI :
10.1109/MMET.2002.1106870
