Inverse Scattering Theory for Phase-Conjugate Reflection Coefficients: Application to Optical Switching

  • A. K. Jordan
  • S. Lakshmanasamy
  • J. Xia
Conference paper
Part of the Inverse Problems and Theoretical Imaging book series (IPTI)

Abstract

The importance of the phase function for the solution of inverse problems can be demonstrated by considering phase-conjugate reflection coefficients, i.e., two reflection coefficients with equal amplitudes but opposite phases. Propagation of light rays along a dielectric waveguide can be modelled as a progression of total internal reflections at the boundaries of the waveguide. Since it is known from direct scattering theory that total internal reflection at a dielectric interface is accompanied by a phase change of p radians, it will be useful for the synthesis of inhomogeneous optical waveguides to investigate the implications of this phenomenon for the corresponding inverse problem.

Keywords

Ruby 

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References

  1. 1.
    Jordan, A. K., & Lakshmanasamy, S.,“Inverse scattering theory applied to the design of single-mode planar optical waveguides”, J. Opt. Soc. Am. A6, 1206–1212 (1989).CrossRefADSGoogle Scholar
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    Kay, I., “The inverse scattering problem”, Rep. EM-74 (New York University, New York, N.Y., 1955); and “The inverse scattering problem when the reflection coefficient is a rational function”, Comm. Pure & Applied Math. 13, 371–393 (1960). See also I. Kay & H. Moses, Inverse Scattering Papers: 1955–1963, ( Math Sciences, Brookline, Mass., 1982 ).Google Scholar
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    Lattes, A. L., MIT Ph.D. Thesis, 1982.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • A. K. Jordan
    • 1
  • S. Lakshmanasamy
    • 2
  • J. Xia
    • 3
  1. 1.Research Laboratory of ElectronicsMassachusetts Institute of TechnologyCambridgeUSA
  2. 2.Jonsson School of EngineeringUniversity of Texas at DallasRichardsonUSA
  3. 3.Department of Electrical Engineering and Computer ScienceMassachusetts Institute of TechnologyCambridgeUSA

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