Title :
Improved wide-angle finite-difference beam propagation method for the analysis of nonlinear optical waveguides
Author :
Flamino, Reinaldo S. ; César, Amílcar C. ; Borges, Ben-Hur V.
Author_Institution :
Departamento de Engenharia Eletrica, Sao Paulo Univ., Brazil
fDate :
3/1/2002 12:00:00 AM
Abstract :
An improved wide-angle finite-difference beam propagation method (WA-FD-BPM) formulated in terms of complex Pade approximants is proposed to investigate nonlinear optical waveguides. The formalism utilizes the Crank-Nicholson scheme. An adaptive update of the reference index and an iterative algorithm in every propagation step are utilized to accelerate convergence. Stability problems relative to high-order approximants are also addressed in this work
Keywords :
convergence of numerical methods; finite difference methods; iterative methods; nonlinear optics; numerical stability; optical waveguide theory; Crank-Nicholson method; adaptive update; convergence; high-order complex Pade approximant; iterative algorithm; nonlinear optical waveguide; reference index; stability; wide-angle finite difference beam propagation method; Fiber nonlinear optics; Finite difference methods; Nonlinear equations; Nonlinear optics; Optical propagation; Optical refraction; Optical signal processing; Optical variables control; Optical waveguides; Partial differential equations;
Journal_Title :
Magnetics, IEEE Transactions on
