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A general power-series expansion method for scalar analysis of the guided modes in an optical fiber

Lundin, Richard LU (1987) In Technical Report LUTEDX/(TEAT-7003)/1-20/(1987)
Abstract
A power-series expansion method for approximate analysis of the guided modes in a cylindrical, radially inhomogeneous dielectric waveguide is presented. The method is developed for a piece-wise polynominal permittivity profile. The solution of the scalar wave equation is constructed by a sequence of power-series expantions. Convergence is ensured and accuracy maintained by regulating the distance (= the steplength ) between successive expansion points. It is demonstrated, by analytical reasoning and numerical examples, that a short steplength is insufficient. The characteristic equation and the cutoff condition are expressed in a unified manner. The method presented is competetive in terms of accuracy achieved and computing time required.
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author
organization
publishing date
type
Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7003)/1-20/(1987)
pages
20 pages
publisher
[Publisher information missing]
report number
TEAT-7003
language
English
LU publication?
yes
id
cb42fe12-5569-4d79-90bd-6653460ccc4c (old id 530152)
date added to LUP
2016-04-04 13:40:24
date last changed
2018-11-21 21:15:30
@techreport{cb42fe12-5569-4d79-90bd-6653460ccc4c,
  abstract     = {{A power-series expansion method for approximate analysis of the guided modes in a cylindrical, radially inhomogeneous dielectric waveguide is presented. The method is developed for a piece-wise polynominal permittivity profile. The solution of the scalar wave equation is constructed by a sequence of power-series expantions. Convergence is ensured and accuracy maintained by regulating the distance (= the steplength ) between successive expansion points. It is demonstrated, by analytical reasoning and numerical examples, that a short steplength is insufficient. The characteristic equation and the cutoff condition are expressed in a unified manner. The method presented is competetive in terms of accuracy achieved and computing time required.}},
  author       = {{Lundin, Richard}},
  institution  = {{[Publisher information missing]}},
  language     = {{eng}},
  number       = {{TEAT-7003}},
  series       = {{Technical Report LUTEDX/(TEAT-7003)/1-20/(1987)}},
  title        = {{A general power-series expansion method for scalar analysis of the guided modes in an optical fiber}},
  url          = {{https://lup.lub.lu.se/search/files/6177706/624832.pdf}},
  year         = {{1987}},
}