Title :
Computation of wave propagation in integrated optical devices using z-transient variational principles
Author :
Koch, T.B. ; Davies, J.B. ; Fernandez, F.A. ; Maerz, R.
Author_Institution :
King´´s Coll., London, UK
fDate :
9/1/1991 12:00:00 AM
Abstract :
As an alternative to the classical beam propagation method (BPM), a variational method is presented to solve the TE and TM Helmholtz equations in the paraxial approximation for the propagation of polarized beams through optical waveguides. Using the method of local potentials, the paraxial wave equations are first converted into equivalent z-transient variational principles. These functionals are minimized using a combination of the Rayleigh-Ritz finite-element procedure and a Crank-Nicholson-like finite-difference scheme. Solutions for anisotropic materials are obtained by applying standard Galerkin finite-element and finite-difference methods to a variational formulation derived from the coupled TE/TM paraxial Helmholtz equations.
Keywords :
difference equations; finite element analysis; integrated optics; optical waveguide theory; variational techniques; Crank-Nicholson-like finite-difference scheme; Rayleigh-Ritz finite-element procedure; TE Helmholtz equations; TM Helmholtz equations; anisotropic materials; finite-difference methods; integrated optical devices; optical waveguides; paraxial approximation; polarized beams; wave propagation; z-transient variational principles; Equations; Finite difference methods; Finite element methods; Optical beams; Optical computing; Optical devices; Optical polarization; Optical propagation; Optical waveguides; Tellurium;
Journal_Title :
Magnetics, IEEE Transactions on