Solution of the vector wave equation for general dielectric waveguides by the Galerkin method

Numerical guided mode solutions for vector waves of general dielectric waveguides are obtained by expanding the unknown field vectors in a double series consisting only of sine functions. The authors formulate solutions by series expansion for the electric and magnetic vector wave equations that yie...

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Bibliographic Details
Published in:IEEE journal of quantum electronics 1992-02, Vol.28 (2), p.459-465
Main Author: Marcuse, D.
Format: Article
Language:English
Subjects:
Applied sciences
Circuit properties
Dielectrics
Differential equations
Eigenvalues and eigenfunctions
Electric, optical and optoelectronic circuits
Electronics
Exact sciences and technology
Magnetic cores
Magnetic fields
Maxwell equations
Microwave circuits, microwave integrated circuits, microwave transmission lines, submillimeter wave circuits
Moment methods
Optical waveguides
Partial differential equations
Transmission line matrix methods
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Summary:Numerical guided mode solutions for vector waves of general dielectric waveguides are obtained by expanding the unknown field vectors in a double series consisting only of sine functions. The authors formulate solutions by series expansion for the electric and magnetic vector wave equations that yield different matrix equations but identical eigenvalues. The general results are applied to a simple step-index fiber with a large core-cladding index difference and to a fiber core in proximity to a semiinfinite dielectric half space.< >
ISSN:0018-9197
1558-1713
DOI:10.1109/3.123273