Improved wide-angle finite-difference beam propagation method for the analysis of nonlinear optical waveguides

• Published in: IEEE transactions on magnetics Vol. 38; no. 2; pp. 589 - 592
• Main Authors: Flamino, R.S., Cesar, A.C., Borges, B.-H.V.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: New York, NY IEEE 01.03.2002; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied classical electromagnetism; Approximants; Beams (radiation); Convergence; Electromagnetic wave propagation, radiowave propagation; Electromagnetism; electron and ion optics; Exact sciences and technology; Fiber nonlinear optics; Finite difference method; Finite difference methods; Formalism; Fundamental areas of phenomenology (including applications); Magnetism; Mathematical analysis; Nonlinear equations; Nonlinear optics; Nonlinearity; Optical propagation; Optical refraction; Optical signal processing; Optical variables control; Optical waveguides; Partial differential equations; Physics; Helmholtz equations; Wave propagation; Digital simulation; Theoretical study; Crank Nicolson method; Electromagnetic radiation; Optical waveguides; Finite difference method
• ISSN: 0018-9464; 1941-0069
• DOI: 10.1109/20.996154

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.