Title :
Approximate scalar 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 :
5/1/2001 12:00:00 AM
Abstract :
The perfectly matched layer boundary condition for arbitrary anisotropic media is incorporated into the approximate scalar beam propagation method. The procedure is based on a finite-element method for three-dimensional anisotropic optical waveguides with off-diagonal elements in a permittivity tensor. In order to treat a wide-angle beam propagation, the Pade approximant operator is employed. To show the validity and usefulness of this approach, numerical results are presented for Gaussian beam propagation in free space and Gaussian beam excitation on a three-dimensional anisotropic optical waveguide
Keywords :
anisotropic media; approximation theory; boundary-value problems; finite element analysis; optical waveguide theory; permittivity; tensors; 3D anisotropic optical waveguide; Gaussian beam excitation; Gaussian beam propagation; Pade approximant operator; anisotropic optical waveguides; approximate scalar beam propagation method; approximate scalar finite-element beam-propagation method; finite-element method; free space; off-diagonal elements; perfectly matched layer boundary condition; perfectly matched layers; permittivity tensor; wide-angle beam propagation; Anisotropic magnetoresistance; Boundary conditions; Electromagnetic waveguides; Equations; Finite element methods; Geometrical optics; Optical propagation; Optical sensors; Optical waveguides; Perfectly matched layers;
Journal_Title :
Lightwave Technology, Journal of