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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) TEAT-7003.
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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organization
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type
Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7003)/1-20/(1987)
volume
TEAT-7003
pages
20 pages
publisher
[Publisher information missing]
language
English
LU publication?
yes
id
cb42fe12-5569-4d79-90bd-6653460ccc4c (old id 530152)
date added to LUP
2007-09-12 10:20:39
date last changed
2016-04-16 11:31:38
@misc{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},
  language     = {eng},
  pages        = {20},
  publisher    = {ARRAY(0x9033ea0)},
  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},
  volume       = {TEAT-7003},
  year         = {1987},
}