Title :
Full-vectorial finite element beam propagation method with perfectly matched layers for anisotropic optical waveguides
Author :
Saitoh, Kunimasa ; Koshiba, Masanori
Author_Institution :
Div. of Electron. & Inf. Eng., Hokkaido Univ., Sapporo, Japan
fDate :
3/1/2001 12:00:00 AM
Abstract :
Perfectly matched layer (PML) boundary conditions are incorporated into the full-vectorial beam propagation method (BPM) based on a finite element scheme for the three-dimensional (3-D) anisotropic optical waveguide analysis. In the present approach, edge elements based on linear-tangential and quadratic-normal vector basis functions are used for the transverse field components. To show the validity and usefulness of this approach, numerical examples are shown for Gaussian beam propagation in proton-exchanged LiNbO3 optical waveguides. Numerical accuracy of the present PML boundary condition is investigated in detail by comparing the results with those of the conventional absorbing boundary condition (ABC)
Keywords :
anisotropic media; boundary-value problems; finite element analysis; ion exchange; laser beams; lithium compounds; optical materials; optical waveguide theory; vectors; 3D anisotropic optical waveguide analysis; Gaussian beam propagation; LiNbO3; LiNbO3 optical waveguides; absorbing boundary condition; anisotropic optical waveguides; edge elements; finite element scheme; full-vectorial finite element beam propagation method; linear-tangential vector basis functions; perfectly matched layers; proton-exchanged; quadratic-normal vector basis functions; transverse field components; Anisotropic magnetoresistance; Boundary conditions; Electromagnetic waveguides; Equations; Finite element methods; Geometrical optics; Nonlinear optics; Optical propagation; Optical waveguides; Perfectly matched layers;
Journal_Title :
Lightwave Technology, Journal of
