Title :
Simple nonparaxial beam-propagation method for integrated optics
Author :
Hernández-Figueroa, H.E.
Author_Institution :
Dept. of Electron. & Electr. Eng., Univ. Coll. London, UK
fDate :
4/1/1994 12:00:00 AM
Abstract :
A simple beam-propagation method for solving the scalar TE nonparaxial or Helmoltz equation is presented. This versatile algorithm, based on a two-step finite-difference scheme for solving the propagation coordinate, is amenable to be easily extended to solve vector wave equations, which could take into account nonlinear effects. In addition, a general procedure to check its stability is given in detail. The applicability of the present method and its distinction from paraxial or Fresnel solutions are demonstrated through several examples, including very strongly guided structures of variable transverse section
Keywords :
finite difference methods; integrated optics; nonlinear optics; optical waveguide theory; Helmoltz equation; integrated optics; nonlinear effects; nonparaxial beam-propagation method; propagation coordinate; scalar TE nonparaxial equation; stability; strongly guided structures; two-step finite-difference scheme; variable transverse section; vector wave equations; versatile algorithm; Finite difference methods; Integrated optics; Nonlinear equations; Optical propagation; Partial differential equations; Performance analysis; Polarization; Stability; Tellurium; Transmission line matrix methods;
Journal_Title :
Lightwave Technology, Journal of
