Title :
A three-dimensional horizontally wide-angle noniterative beam-propagation method based on the alternating-direction implicit scheme
Author :
Shibayama, Jun ; Takahashi, Tatsuya ; Yamauchi, Junji ; Nakano, Hisamatsu
Author_Institution :
Fac. of Eng., Hosei Univ., Tokyo, Japan
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 Pade´ 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 :
light propagation; optical waveguide theory; Pade approximant; alternating-direction implicit scheme; horizontally wide-angle beam-propagation method; noniterative beam-propagation method; splitting error; three-dimensional beam-propagation method; tilted optical waveguide; 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
