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Theory of electromagnetic wave propagation in a longitudinally periodic cylinder

  • Mathematical Structures in Statistical and Condensed Matter Physics
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract.

Thinking of photonic crystals, we investigate the theory of electromagnetic wave propagation in a perfectly conducting semi-cylinder endowed with a periodic permittivity along its axis while its circular base is illuminated by an harmonic Bessel beam, symmetric around the cylinder axis. We prove that the Floquet-Bessel expansions of electromagnetic fields whose Floquet parts are solutions of a Mathieu equation. is a suitable tool to handle this kind of problems.

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Authors and Affiliations

  1. Institut Henri Poincaré, 86 Bis Route de Croissy, 78110, Le Vésinet, France

    P. Hillion

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  1. P. Hillion
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Correspondence to P. Hillion.

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Hillion, P. Theory of electromagnetic wave propagation in a longitudinally periodic cylinder. Eur. Phys. J. B 62, 477–480 (2008). https://doi.org/10.1140/epjb/e2008-00183-0

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  • DOI: https://doi.org/10.1140/epjb/e2008-00183-0

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