Abstract
For the step index profile of dielectric waveguides(see Figure 1), the mode-matching techniques[1], the finite-element analysis [2-4], and the finite-difference method[5-7] have been developed for the discretization of the wave equation and the computation of the eigenvalues. In this paper, we present an integrated finite-difference method[8] to discretize the wave equation, and Arnoldi’s method[9,10] coupled with multiple deflation[10], followed by the inverse power method[11] combined with an iterative solver[12], for the calculation of eigenvalues and eigenvectors.
© 1993 Optical Society of America
PDF ArticleMore Like This
Klein L. Johnson and Anand Gopinath
ITuC4 Integrated Photonics Research (IPR) 1993
Sangin Kim and Anand Gopinath
IMB2 Integrated Photonics Research (IPR) 1996
Hyoungsuk Yoo and Anand Gopinath
IWB4 Integrated Photonics and Nanophotonics Research and Applications (IPR) 2008