Title :
Modal fields calculation using the finite difference beam propagation method
Author :
Wijnands, Frank ; Hoekstra, Hugo J W M ; Krijnen, Gijs J M ; De Ridder, Rene M.
Author_Institution :
MESA Res. Inst., Twente Univ., Enschede, Netherlands
fDate :
12/1/1994 12:00:00 AM
Abstract :
A method is described to construct modal fields for an arbitrary one- or two-dimensional refractive index structure. An arbitrary starting field is propagated along a complex axis using the slowly varying envelope approximation (SVEA). By choosing suitable values for the step-size, one mode is maximally increased in amplitude on propagating, until convergence has been obtained. For the calculation of the next mode, the mode just found is filtered out, and the procedure starts again. The method is tested for one-dimensional refractive index structures, both for nonabsorbing and for absorbing structures, and is shown to give fast convergence
Keywords :
approximation theory; convergence; light absorption; optical planar waveguides; optical waveguide theory; refractive index; absorbing structures; arbitrary starting field; complex axis; fast convergence; finite difference beam propagation method; modal fields; modal fields calculation; nonabsorbing structures; one mode; optical planar waveguides; refractive index structure; refractive index structures; slowly varying envelope approximation; step-size; Analytical models; Convergence; Eigenvalues and eigenfunctions; Finite difference methods; Fourier transforms; Modal analysis; Optical propagation; Refractive index; Testing; Transmission line matrix methods;
Journal_Title :
Lightwave Technology, Journal of
