Title :
A Three-Dimensional Horizontally Wide-Angle Noniterative Beam-Propagation Method Based on the Alternating-Direction Implicit Scheme
Author :
Shibayama, Jun ; Takahashi, Tatsuro ; Yamauchi, Junji ; Nakano, Hisamatsu
fDate :
3/1/2006 12:00:00 AM
Abstract :
A three-dimensional horizontally wide-angle beam-propagation method is proposed on the basis of the alternating-direction implicit scheme, in which the PadÉ approximant is applied only to the horizontal direction. The present formulation reduces the splitting error to the first order without an iteration procedure. The effectiveness is demonstrated through the wide-angle propagating beam analysis of a tilted optical waveguide.
Keywords :
Alternating-direction implicit (ADI) scheme; PadÉ approximant; beam-propagation method (BPM); optical waveguide; planar lightwave circuit; Circuits; Educational institutions; Equations; Optical beams; Optical planar waveguides; Optical propagation; Optical refraction; Optical variables control; Optical waveguides; Refractive index; Alternating-direction implicit (ADI) scheme; PadÉ approximant; beam-propagation method (BPM); optical waveguide; planar lightwave circuit;
Journal_Title :
Photonics Technology Letters, IEEE
DOI :
10.1109/LPT.2006.870083
