Title :
Application of Bi-CGSTAB to waveguide discontinuity problems
Author :
Wei, Su Hua ; Lu, Ya Yan
Author_Institution :
Beijing Inst. of Appl. Phys. & Comput. Math., China
fDate :
5/1/2002 12:00:00 AM
Abstract :
Scattering at a waveguide end facet or other waveguide discontinuities can be calculated by an iterative method together with rational approximations to the related square root operators. Previous work uses the classical Neumann series as the iteration scheme. We demonstrate that the method can be significantly improved if bi-conjugate gradient stabilized is used instead.
Keywords :
conjugate gradient methods; light reflection; light scattering; optical planar waveguides; optical waveguide theory; waveguide discontinuities; Helmholtz equation; Krylov subspace method; TE polarized waves; biconjugate gradient stabilized method; iterative method; longitudinal interface; optical waveguides; planar waveguides; rational approximations; square root operators; waveguide discontinuity problems; Eigenvalues and eigenfunctions; Iterative methods; Optical reflection; Optical refraction; Optical scattering; Optical surface waves; Optical waveguides; Sparse matrices; Vertical cavity surface emitting lasers; Waveguide discontinuities;
Journal_Title :
Photonics Technology Letters, IEEE
