Title :
High Order Vectorial Analysis of Waveguides With Curved Dielectric Interfaces
Author_Institution :
Dept. of Math., Univ. of Alabama, Tuscaloosa, AL
fDate :
5/1/2009 12:00:00 AM
Abstract :
This letter introduces a novel full vectorial higher order finite difference method for the modal analysis of optical waveguides with smoothly curved dielectric interfaces. Based on a simple Cartesian grid, a new matched interface and boundary formulation is derived to enforce the interface conditions so that the staircasing error can be eliminated. Benchmark problems are employed to validate the proposed method. A fourth order convergence is numerically confirmed irrespective of the presence of the step-index interfaces.
Keywords :
finite difference methods; optical waveguides; Cartesian grid; curved dielectric interfaces; fourth order convergence; full vectorial higher order finite difference method; nonhomogeneous media; optical waveguides modal analysis; step-index interfaces; waveguides high order vectorial analysis; Eigenvalues and eigenfunctions; finite difference methods; nonhomogeneous media; waveguide theory;
Journal_Title :
Microwave and Wireless Components Letters, IEEE
DOI :
10.1109/LMWC.2009.2017584
