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Feynman-Dlagram Approach to Wave Diffraction by Media Having Multiple Periodicities

  • Theodor Tamir
  • Kun-Yii Tu
  • Hyuk Lee

Abstract

Problems requiring the accurate determination of waves diffracted by periodically modulated media have been treated most recently by using coupled-wave techniques. By developing a field representation in terms of multiply scattered waves, we provide here an alternative approach which is particularly effective for situations involving two or more superposed volume gratings. An advantage of this approach is that the diffracted fields can be described by modified Feynman diagrams in the form of flow charts. These diagrams provide a phenomenological description of the scattering process, and they also serve as a powerful and systematic tool for the rapid evaluation of any diffracted grating orders.

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References

  1. 1.
    M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1980), Chap. 19, p. 593.Google Scholar
  2. 2.
    C. Elachi, “Waves in active and passive periodic structures: A review,” Proc. IEEE 64, 1666–1976 (1976).ADSCrossRefGoogle Scholar
  3. 3.
    T. K. Gaylord and M. T. Moharam, “Analysis and applications of optical diffraction by gratings,” Proc. IEEE 73, 894–937 (1985).CrossRefGoogle Scholar
  4. 4.
    E.N. Glytsis and T. K. Gaylord, “Rigorous 3-D coupled wave diffraction analysis of multiple superposed gratings in anisotropic media,” Appl. Opt. 28, 2401–2421 (1989).ADSCrossRefGoogle Scholar
  5. 5.
    K.-Y. Tu, T. Tamir and H. Lee, “Multiple-scattering theory of wave diffraction by superposed volume gratings,” J. Opt. Soc. Am. A 7, 1421–1436 (1990).ADSCrossRefGoogle Scholar
  6. 6.
    K. Fujiwara, “Application of higher order Born approximation to multiple elastic scattering of electrons by crystals,” J. Phys. Soc. Japan 14, 1513–1524 (1959).ADSCrossRefGoogle Scholar
  7. 7.
    A. Korpel, “Two-dimensional plane wave theory of strong acousto-optic interaction in isotropic media,” J. Opt. Soc. Am. 69, 678–683 (1979).ADSCrossRefMathSciNetGoogle Scholar
  8. 8.
    A. Korpel and T.-C. Poon, “Explicit formalism for acousto-optic multiple plane wave scattering,” J. Opt. Soc. Am. 70, 817–820 (1980).ADSCrossRefMathSciNetGoogle Scholar
  9. 9.
    R. D. Mattuck, A guide to Feynman diagrams in the many-body problem (McGraw-Hill, New York, NY, 1967).Google Scholar

Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • Theodor Tamir
    • 1
  • Kun-Yii Tu
    • 1
  • Hyuk Lee
    • 1
  1. 1.Department of Electrical Engineering and Weber Research InstitutePolytechnic UniversityBrooklynUSA

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