Analysis of Optical Waveguide Propagation Characteristics Using Finite Element Methods
Date Issued
2006
Date
2006
Author(s)
Chiang, Jui-Lun
DOI
en-US
Abstract
In this research, we improve an optical waveguide mode solver based on the fi-
nite element method (FEM) and curvilineal hybrid edge/nodal elements, and
implement a nonlinear beam propagation method (BPM) numerical model
based on the related FEM scheme. The FEM mode solver is incorporated into
it the perfectly matched layer (PML) absorbing boundary condition and can
solve the leaky waveguide mode very accurately. We refine the algorithms of
the mode solver related to rigorous boundary setting involving perfect electric
conductor (PEC) and perfect magnetic conductor (PMC) and numerical
implementation of PMLs. The mode solver is further generalized to the analysis
of nonlinear waveguide modes for working together with the nonlinear
BPM model. Another FEM based mode solver for two-dimensional (2-D)
linear and nonlinear periodic optical waveguides is also implemented with
second order triangular elements. Periodic boundary conditions are properly
imposed in the propagation direction for efficient analysis. Numerical examples
considered in this research include circular waveguide, 3-D antiresonant
reflecting optical waveguide (ARROW), holey fibers of various numbers of air
holes, nonlinear directional coupler, and 2-D linear and nonlinear photonic
crystal waveguides. We in particular develop a scheme to present power flow
diagrams in the cross-sectional plane for leaky modes.
Subjects
有限元素法
光波導
FEM
waveguide
Type
thesis