Title :
Modified finite-difference beam propagation method based on the generalized Douglas scheme for variable coefficients
Author :
Yamauchi, Junji ; Shibayama, Jun ; Nakano, Hisamatsu
Author_Institution :
Coll. of Eng., Hosei Univ., Tokyo, Japan
fDate :
6/1/1995 12:00:00 AM
Abstract :
The accuracy of the implicit finite-difference beam propagation method (FD-BPM), in which the phase term is not split, is improved using the generalized Douglas scheme. The propagation error of the fundamental mode in two- and three-dimensional waveguides is evaluated by the mode-mismatch loss calculation. It Is demonstrated that the truncation error is reduced to O(/spl Delta/x)/sup 4/ in the transverse direction, even when the parabolic wave equation contains variable coefficients, The computational time is almost identical to the conventional FD-BPM based on the Crank-Nicholson scheme.<>
Keywords :
finite difference methods; light propagation; optical fibre losses; optical fibre theory; FD-BPM; computational time; fundamental mode; generalized Douglas scheme; mode-mismatch loss; modified finite-difference beam propagation method; parabolic wave equation; phase term; propagation error; three-dimensional waveguides; transverse direction; truncation error; two-dimensional waveguides; variable coefficients; Difference equations; Electrooptical waveguides; Finite difference methods; Finite wordlength effects; Optical sensors; Optical waveguides; Partial differential equations; Propagation losses; Sun;
Journal_Title :
Photonics Technology Letters, IEEE
