Introduction to the mathematical methods of the solution to the direct and inverse problems of the optical waveguide design
Author
Summary, in English
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.
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.
Publishing year
1998
Language
English
Publication/Series
Technical Report LUTEDX/(TEAT-7069)/1-12/(1998)
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Document type
Report
Publisher
[Publisher information missing]
Topic
- Electrical Engineering, Electronic Engineering, Information Engineering
- Other Electrical Engineering, Electronic Engineering, Information Engineering
Status
Published
Research group
- Electromagnetic theory