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

Publiceringsår: 1998
Språk: Engelska
Publikation/Tidskrift/Serie: Technical Report LUTEDX/(TEAT-7069)/1-12/(1998)
Dokumenttyp: Rapport
Förlag: [Publisher information missing]


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.


  • Electrical Engineering, Electronic Engineering, Information Engineering
  • Other Electrical Engineering, Electronic Engineering, Information Engineering


  • Electromagnetic theory-lup-obsolete

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