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Asymptotic Solutions of Maxwell’s Equations in a Layered Periodic Structure

In: Integral Methods in Science and Engineering, Volume 1

Author

Listed:
  • M. V. Perel

    (St. Petersburg State University
    Ioffe institute)

  • M. S. Sidorenko

    (St. Petersburg State University)

Abstract

A formal asymptotic expansion of the solutions of the stationary Maxwell equations with periodic coefficients is constructed by the method of two-scale asymptotic expansions. The solutions oscillate with the period of the medium and depend on the slow change of the variables with the period. The frequency is assumed to be close to a stationary point of the dispersion function. The asymptotic results obtained in this way are applied to the solution of a boundary value problem for the Maxwell equations in a half-space.

Suggested Citation

  • M. V. Perel & M. S. Sidorenko, 2017. "Asymptotic Solutions of Maxwell’s Equations in a Layered Periodic Structure," Springer Books, in: Christian Constanda & Matteo Dalla Riva & Pier Domenico Lamberti & Paolo Musolino (ed.), Integral Methods in Science and Engineering, Volume 1, chapter 0, pages 259-264, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-59384-5_23
    DOI: 10.1007/978-3-319-59384-5_23
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