Full-vector waveguide modeling using an iterative finite-difference method with transparent boundary conditions

We describe a finite difference solution technique for the full-vector waveguide equation based upon the alternating-direction-implicit (ADI) iterative method. Our technique accurately treats dielectric boundaries (including corners), requires minimal computer resources, and executes faster (by fact...

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Bibliographic Details
Published inJournal of lightwave technology Vol. 13; no. 3; pp. 465 - 469
Main Authors Hadley, G.R., Smith, R.E.
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 01.03.1995
Institute of Electrical and Electronics Engineers
Subjects
Applied sciences
Boundary conditions
Dielectric constant
Electric, optical and optoelectronic circuits
Electronics
Equations
Exact sciences and technology
Finite difference methods
Iterative methods
Numerical models
Optical design
Optical devices
Optical sensors
Optical waveguides
Theoretical study. Circuits analysis and design
Wave propagation
Network analysis
Iterative method
Boundary condition
Waveguide
Modeling
Electromagnetic wave
Finite difference method
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Summary:We describe a finite difference solution technique for the full-vector waveguide equation based upon the alternating-direction-implicit (ADI) iterative method. Our technique accurately treats dielectric boundaries (including corners), requires minimal computer resources, and executes faster (by factors of 3-10) than other iterative approaches. In addition, we employ a transparent boundary condition that effectively removes the sensitivity of the calculated results to the size of the computational domain. This feature greatly facilitates the examination of modes near cutoff.< >
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0733-8724
1558-2213
DOI:10.1109/50.372444