
Numerical calculations of ARROW structures by pseudospectral approach with Mur’s absorbing boundary conditions
Author(s) -
ChiaChien Huang
Publication year - 2006
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.14.011631
Subject(s) - pseudo spectral method , optics , boundary value problem , chebyshev polynomials , chebyshev pseudospectral method , physics , chebyshev filter , refractive index , laguerre polynomials , mathematical analysis , fourier transform , mathematics , fourier analysis , orthogonal polynomials , classical orthogonal polynomials , chebyshev equation
The pseudospectral method, proposed in our previous work, has not yet been constructed for optical waveguides with leaky modes or anisotropic materials. Our present study focuses on antiresonant reflecting optical waveguides (ARROWS) made by anisotropic materials. In contrast to the fields in the outermost subdomain expanded by Laguerre-Gaussian functions for guided mode problems, the fields in the high-index outermost subdomain are expanded by the Chebyshev polynomials with Mur's absorbing boundary condition (ABC). Accordingly, the traveling waves can leak freely out of the computational window, and the desirable properties of the pseudospectral scheme, i.e., provision of fast and accurate solutions, can be preserved. A number of numerical examples tested by the present approach are shown to be in good agreement with exact data and published results achieved by other numerical methods.