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Comparison of vector finite-difference techniques for modal analysis

Wik, Magnus LU ; Dumas, D and Yevick, D (2005) In Journal of the Optical Society of America A 22(7). p.1341-1347
Abstract
We compare a vector finite-difference method that correctly applies the boundary conditions at both horizontal and vertical dielectric interfaces (but not at corners or slanted interfaces) to algorithms that only approximately satisfy these boundary conditions. We find, rather unexpectedly, that for strongly guiding waveguides the boundary conditions imposed at the refractive- index discontinuities typically affect the calculated field distributions less than the procedure employed to assign the refractive index at a computational grid point. In fact, locally averaging the refractive index around each grid point transforms the precision of the most straightforward finite-difference models to that of far more sophisticated techniques.... (More)
We compare a vector finite-difference method that correctly applies the boundary conditions at both horizontal and vertical dielectric interfaces (but not at corners or slanted interfaces) to algorithms that only approximately satisfy these boundary conditions. We find, rather unexpectedly, that for strongly guiding waveguides the boundary conditions imposed at the refractive- index discontinuities typically affect the calculated field distributions less than the procedure employed to assign the refractive index at a computational grid point. In fact, locally averaging the refractive index around each grid point transforms the precision of the most straightforward finite-difference models to that of far more sophisticated techniques. Further, H- and E-field formalisms exhibit identical accuracy. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of the Optical Society of America A
volume
22
issue
7
pages
1341 - 1347
publisher
Optical Society of America
external identifiers
  • wos:000230228300012
  • pmid:16053155
  • scopus:22244460843
ISSN
1084-7529
language
English
LU publication?
yes
id
9bb75c5c-f980-4332-80ba-f0ab71e553f9 (old id 233788)
alternative location
http://www.ncbi.nlm.nih.gov/sites/entrez?cmd=Retrieve&db=PubMed&list_uids=16053155&dopt=AbstractPlus
date added to LUP
2007-08-08 11:11:33
date last changed
2017-01-01 07:26:24
@article{9bb75c5c-f980-4332-80ba-f0ab71e553f9,
  abstract     = {We compare a vector finite-difference method that correctly applies the boundary conditions at both horizontal and vertical dielectric interfaces (but not at corners or slanted interfaces) to algorithms that only approximately satisfy these boundary conditions. We find, rather unexpectedly, that for strongly guiding waveguides the boundary conditions imposed at the refractive- index discontinuities typically affect the calculated field distributions less than the procedure employed to assign the refractive index at a computational grid point. In fact, locally averaging the refractive index around each grid point transforms the precision of the most straightforward finite-difference models to that of far more sophisticated techniques. Further, H- and E-field formalisms exhibit identical accuracy.},
  author       = {Wik, Magnus and Dumas, D and Yevick, D},
  issn         = {1084-7529},
  language     = {eng},
  number       = {7},
  pages        = {1341--1347},
  publisher    = {Optical Society of America},
  series       = {Journal of the Optical Society of America A},
  title        = {Comparison of vector finite-difference techniques for modal analysis},
  volume       = {22},
  year         = {2005},
}