Title :
Coupled-mode analysis of two-parallel circular dielectric waveguides using a singular perturbation technique
Author :
Yasumoto, Kiyotoshi
Author_Institution :
Dept. of Comput. Sci. & Commun. Eng., Kyushu Univ., Fukuoka, Japan
fDate :
1/1/1994 12:00:00 AM
Abstract :
The evanescent coupling between two parallel circular dielectric waveguides is analyzed using a singular perturbation technique. The analysis is based on the vectorial wave formulation. The first-order coupled-mode equations are derived in an analytically closed form, which are rigorous in the sense that they satisfy the Maxwell equations and the boundary conditions for the composite waveguide system within the first-order perturbation. It is shown, in a general manner, that the two orthogonally polarized modes of the isolated waveguides yield the different coupling coefficients and the polarization effect is in proportion to the relative difference of permittivities of the core and cladding regions
Keywords :
Maxwell equations; integrated optics; optical couplers; optical waveguide theory; perturbation theory; Maxwell equations; analytically closed form; boundary conditions; cladding; composite waveguide system; core; coupled-mode analysis; coupling coefficients; evanescent coupling; first-order coupled-mode equations; first-order perturbation; isolated waveguides; orthogonally polarized modes; permittivities; polarization effect; singular perturbation technique; two-parallel circular dielectric waveguides; vectorial wave formulation; Boundary conditions; Coupled mode analysis; Dielectrics; Maxwell equations; Optical coupling; Optical fibers; Optical waveguide theory; Optical waveguides; Partial differential equations; Perturbation methods;
Journal_Title :
Lightwave Technology, Journal of
