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Introduction to the mathematical methods of the solution to the direct and inverse problems of the optical waveguide design

Serov, Valeri S. ; Shestopalov, Youri V. ; Kristensson, Gerhard LU and Lundin, Richard LU (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.
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author
; ; and
organization
publishing date
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
2025-11-19 10:35:29
@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}},
}