A general power-series expansion method for scalar analysis of the guided modes in an optical fiber
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/530152
- author
- Lundin, Richard LU
- organization
- publishing date
- 1987
- 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}}, }