Introduction to the mathematical methods of the solution to the direct and inverse problems of the optical waveguide design
(1998) In Technical Report LUTEDX/(TEAT-7069)/1-12/(1998)- Abstract
- In this paper we give an introduction to the mathematical foundations of
the optical waveguide design. A survey of the main results of the spectral
theory of the Schr¨odinger operator on the line having compactly supported
potential, with particular emphasis on the case of piece-wise constant potential
is presented. This theory is then applied to the optical waveguide design
problem of a piece-wise constant permittivity.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/530467
- author
- Serov, Valeri S. ; Shestopalov, Youri V. ; Kristensson, Gerhard LU and Lundin, Richard LU
- organization
- publishing date
- 1998
- type
- Book/Report
- publication status
- published
- subject
- in
- Technical Report LUTEDX/(TEAT-7069)/1-12/(1998)
- pages
- 12 pages
- publisher
- [Publisher information missing]
- language
- English
- LU publication?
- yes
- id
- b2e77214-a197-4bb7-91ee-c979ada898fb (old id 530467)
- date added to LUP
- 2016-04-04 13:54:53
- date last changed
- 2018-11-21 21:17:09
@techreport{b2e77214-a197-4bb7-91ee-c979ada898fb, abstract = {{In this paper we give an introduction to the mathematical foundations of<br/><br> the optical waveguide design. A survey of the main results of the spectral<br/><br> theory of the Schr¨odinger operator on the line having compactly supported<br/><br> potential, with particular emphasis on the case of piece-wise constant potential<br/><br> is presented. This theory is then applied to the optical waveguide design<br/><br> problem of a piece-wise constant permittivity.}}, author = {{Serov, Valeri S. and Shestopalov, Youri V. and Kristensson, Gerhard and Lundin, Richard}}, institution = {{[Publisher information missing]}}, language = {{eng}}, series = {{Technical Report LUTEDX/(TEAT-7069)/1-12/(1998)}}, title = {{Introduction to the mathematical methods of the solution to the direct and inverse problems of the optical waveguide design}}, url = {{https://lup.lub.lu.se/search/files/6235425/624909.pdf}}, year = {{1998}}, }