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Proceedings Paper

Matrix method for the analysis of optical waveguides and quantum well structures
Author(s): Ajoy K. Ghatak
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Paper Abstract

The design of devices, components or systems using optical fibers and integrated optical waveguides, involves the solution of the wave equation under specific boundary conditions. Although in some situations one can obtain analytical solution to the problem, in most cases the problem needs to be tackled numerically. For example, in devices using graded index waveguides or bent waveguides, in general one cannot obtain analytical solutions. In order to tackle such problems many numerical techniques have been developed in the literature. The matrix method which forms the subject matter of this talk is one such method developed by us. This method has been used for obtaining the propagation characteristics of planar graded index waveguides, bent planar waveguides, cylindrical optical fibers with an arbitrary refractive index profile and quantum well structures. One of the most important attributes of this method is the fact that this method can yield complex propagation constants of an optical waveguide without performing any complex plane iterations and hence can be used as a method to predict starting values in any complex plane iteration program. Using this technique one can also obtain the leakage losses in waveguides and in particular in depressed cladding fibers.

Paper Details

Date Published: 19 July 1999
PDF: 2 pages
Proc. SPIE 3749, 18th Congress of the International Commission for Optics, (19 July 1999); doi: 10.1117/12.354737
Show Author Affiliations
Ajoy K. Ghatak, Indian Institute of Technology (India)

Published in SPIE Proceedings Vol. 3749:
18th Congress of the International Commission for Optics
Alexander J. Glass; Joseph W. Goodman; Milton Chang; Arthur H. Guenther; Toshimitsu Asakura, Editor(s)

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