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

Valeri S. Serov; Youri V. Shestopalov; Gerhard Kristensson; Richard Lundin

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

Valeri S. Serov, Youri V. Shestopalov, Gerhard Kristensson, Richard Lundin

Department of Electrical and Information Technology

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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.

Original language	English
Publisher	[Publisher information missing]
Number of pages	12
Publication status	Published - 1998

Publication series

Name	Technical Report LUTEDX/(TEAT-7069)/1-12/(1998)

Subject classification (UKÄ)

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

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TEAT-7069

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@book{b2e77214a1974bb791eec979ada898fb,

title = "Introduction to the mathematical methods of the solution to the direct and inverse problems of the optical waveguide design",

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.",

author = "Serov, {Valeri S.} and Shestopalov, {Youri V.} and Gerhard Kristensson and Richard Lundin",

year = "1998",

language = "English",

series = "Technical Report LUTEDX/(TEAT-7069)/1-12/(1998)",

publisher = "[Publisher information missing]",

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TY - BOOK

T1 - Introduction to the mathematical methods of the solution to the direct and inverse problems of the optical waveguide design

AU - Serov, Valeri S.

AU - Shestopalov, Youri V.

AU - Kristensson, Gerhard

AU - Lundin, Richard

PY - 1998

Y1 - 1998

N2 - 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.

AB - 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.

M3 - Report

T3 - Technical Report LUTEDX/(TEAT-7069)/1-12/(1998)

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

PB - [Publisher information missing]

ER -

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

Abstract

Publication series

Subject classification (UKÄ)

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Cite this