Title :
A Three-Dimensional Multistep Horizontally Wide-Angle Beam-Propagation Method Based on the Generalized Douglas Scheme
Author :
Shibayama, Jun ; Takahashi, Tatsuya ; Yamauchi, Junji ; Nakano, Hisamatsu
Author_Institution :
Fac. of Eng., Hosei Univ., Tokyo
Abstract :
A three-dimensional horizontally wide-angle beam-propagation method is formulated on the basis of the multistep method for higher order Pade approximants, together with the alternating-direction implicit scheme. The fourth-order accurate finite-difference formula is used to enhance the efficiency of the method. The effectiveness is demonstrated through the analyses of a tilted step-index waveguide and a multimode interference coupler
Keywords :
finite difference methods; iterative methods; optical couplers; optical waveguide theory; finite-difference formula; generalized Douglas scheme; higher order Fade approximants; multimode interference coupler; multistep method; step-index waveguide; wide-angle beam-propagation method; Educational institutions; Equations; Finite difference methods; Helium; Interference; Modal analysis; Optical coupling; Optical waveguides; Transmission line matrix methods; Two dimensional displays; Alternating-direction implicit (ADI) scheme; Padé approximant; beam-propagation method (BPM); multimode interference (MMI) coupler; multistep method; optical waveguide;
Journal_Title :
Photonics Technology Letters, IEEE
DOI :
10.1109/LPT.2006.887201
