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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
Sidor: 12
Publikation/Tidskrift/Serie: Technical Report LUTEDX/(TEAT-7069)/1-12/(1998)
Dokumenttyp: Rapport


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.



  • Technology and Engineering



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