DocumentCode
385706
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
Volume
1
fYear
2002
fDate
10-13 Sept. 2002
Firstpage
230
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Mathematical Methods in Electromagnetic Theory, 2002. MMET '02. 2002 International Conference on
Conference_Location
Kiev, Ukraine
Print_ISBN
0-7803-7391-X
Type
conf
DOI
10.1109/MMET.2002.1106870
Filename
1106870
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