Title :
Stability Condition of Finite-Element Beam Propagation Methods in Lossy Waveguides
Author :
Tran, Thang Q. ; Sangin Kim
Author_Institution :
Dept. of Electr. & Comput. Eng., Ajou Univ., Suwon, South Korea
Abstract :
A simple tool for evaluating the stability of the finite-element beam propagation method (FEBPM) for lossy waveguides is described. Current stability issues are explained by this method. The sufficient stability condition of the FEBPM is described. The stability of the analytical propagation function, the Crank-Nicolson propagation scheme, and various Padé approximants are analyzed using the tool. The dependence of the stability of the FEBPM on the propagation step size is also noted.
Keywords :
finite element analysis; numerical stability; optical waveguides; Crank-Nicolson propagation scheme; FEBPM stability; Pade approximants; finite-element beam propagation methods; lossy waveguides; Finite element analysis; Indexes; Numerical stability; Optical waveguides; Stability criteria; Transmission line matrix methods; Beam propagation method (BPM); finite element method; optical waveguide; stability analysis;
Journal_Title :
Quantum Electronics, IEEE Journal of
DOI :
10.1109/JQE.2014.2347371
