Finite-Difference Frequency-Domain Method with Proper Boundary-Condition Matching Scheme for Optical Waveguide Analysis
Date Issued
2007
Date
2007
Author(s)
Chang, Feng-Wei
DOI
en-US
Abstract
Abstract In this research, the finite-difference ferquency-domain (FDFD) method with the proper boundary-condition (BC) matching scheme is adopted to analyze optical waveguides with different cross-sectional dielectric interfaces. The perfectly matched layer (PML) is incorporated into our algorithm as the absorbing boundary of the computing window for analyzing leaky waveguides. Several optical waveguides are analyzed and discussed by assorting them into two categories: optical waveguides with linear dielectric interfaces and those with curved ielectric interfaces. The optical waveguides with linear dielectric interfaces include the square channel waveguides,
rib waveguides, and sloped-side rib waveguides. The propagation problems of the multi-mode interference (MMI) phenomenon are also discussed and taken as numerical examples. The optical fibers and the photonic crystal fibers (PCFs) are considered as waveguides with curved dielectric interfaces. The novel properties of the PCFs, such as dispersion and birefringence are studied, and the leakage loss characteristics of the sigle- and multiple-ring of PCFs are investigated. Besides understanding various properties of these optical waveguides, we examine the accuracy and convergence characteristics of our FDFD method and observed the effect of the grid mesh arrangement on the obtained results. We compare the proper BC matching scheme with the conventional stair-case approximation in the analysis of different waveguides to mark advantages of the former scheme.
Subjects
有限差分
多模干涉
FDFD
MMI
Type
thesis
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