Comparison of vector finite-difference techniques for modal analysis
(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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/233788
- author
- Wik, Magnus LU ; Dumas, D and Yevick, D
- organization
- publishing date
- 2005
- 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
- additional info
- The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Mathematical Physics (Faculty of Science) (011040001), Physics, science (011013100)
- 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
- 2016-04-01 17:10:40
- date last changed
- 2022-01-29 00:55:27
@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}},
url = {{http://www.ncbi.nlm.nih.gov/sites/entrez?cmd=Retrieve&db=PubMed&list_uids=16053155&dopt=AbstractPlus}},
volume = {{22}},
year = {{2005}},
}