Title :
Solution of the vector wave equation for general dielectric waveguides by the Galerkin method
Author :
Marcuse, Dietrich
Author_Institution :
AT&T Bell Labs., Holmdel, NJ, USA
fDate :
2/1/1992 12:00:00 AM
Abstract :
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
Keywords :
eigenvalues and eigenfunctions; optical fibres; optical waveguide theory; refractive index; wave equations; Galerkin method; double series; electric vector; fiber core; field vector expansion; general dielectric waveguides; identical eigenvalues; large core-cladding index difference; magnetic vector; matrix equations; numerical guided mode solutions; semiinfinite dielectric half space; series expansion; simple step-index fiber; sine functions; unknown field vectors; vector wave equation; Dielectrics; Differential equations; Eigenvalues and eigenfunctions; Magnetic cores; Magnetic fields; Maxwell equations; Moment methods; Optical waveguides; Partial differential equations; Transmission line matrix methods;
Journal_Title :
Quantum Electronics, IEEE Journal of
