Title :
Finite element beam propagation method for three-dimensional optical waveguide structures
Author :
Tsuji, Yasuhide ; Koshiba, Masanori ; Shiraishi, Tatsuki
Author_Institution :
Dept. of Appl. Electron., Hokkaido Inst. of Technol., Sapporo, Japan
fDate :
9/1/1997 12:00:00 AM
Abstract :
A beam propagation method (BPM) based on the finite element method (FEM) is described for longitudinally varying three-dimensional (3-D) optical waveguides. In order to avoid nonphysical reflections from the computational window edges, the transparent boundary condition is introduced. The present algorithm using the Pade approximation is, to our knowledge, the first wide-angle finite element beam propagation method for 3-D waveguide structures. To show the validity and usefulness of this approach, numerical results are shown for Gaussian-beam excitation of a straight rib waveguide and guided-mode propagation in a Y-branching rib waveguide
Keywords :
finite element analysis; optical waveguide theory; rib waveguides; Gaussian-beam excitation; Pade approximation; Y-branching rib waveguide; computational window edges; finite element beam propagation method; guided-mode propagation; longitudinally varying 3-D optical waveguides; nonphysical reflections; numerical results; straight rib waveguide; three-dimensional optical waveguide structures; transparent boundary condition; wide-angle method; Approximation algorithms; Boundary conditions; Equations; Finite element methods; Nonlinear optics; Optical propagation; Optical reflection; Optical refraction; Optical variables control; Optical waveguides;
Journal_Title :
Lightwave Technology, Journal of