Title :
A modified imaginary distance BPM for directly computing arbitrary vector modes of 3-D optical waveguides
Author :
Chamorro-Posada, Pedro
Author_Institution :
Dept. de Teoria de la Senal y Comunicaciones e Ingenieria Telematica, Univ. de Valladolid, Spain
fDate :
3/1/2003 12:00:00 AM
Abstract :
A method for the direct calculation of arbitrary vector modes of three-dimensional optical waveguides is presented. The proposed mode-solving scheme, based on a modified imaginary distance beam propagation method, provides an easy to implement explicit algorithm. A finite-difference discretization is used in the transverse plane and a Chebyshev approximation in the propagation direction. Approximate values of the propagation constants of the modes to be calculated are required and it is demonstrated that this data can be obtained in an efficient way by using the least squares Prony method.
Keywords :
Chebyshev approximation; convergence of numerical methods; finite difference methods; least squares approximations; optical waveguide theory; vectors; 3-D optical waveguides; Chebyshev approximation; arbitrary vector modes; direct computation; explicit algorithm; finite-difference discretization; least squares Prony method; mode-solving scheme; modified imaginary distance beam propagation method; propagation constants; propagation direction; three-dimensional optical waveguides; transverse plane; Eigenvalues and eigenfunctions; Equations; Finite difference methods; Least squares approximation; Nonhomogeneous media; Optical computing; Optical fibers; Optical propagation; Optical waveguides; Propagation constant;
Journal_Title :
Lightwave Technology, Journal of
DOI :
10.1109/JLT.2003.809568
