Theory of electromagnetic wave propagation in a longitudinally periodic cylinder

P. Hillion ()

The European Physical Journal B: Condensed Matter and Complex Systems, 2008, vol. 62, issue 4, 477-480

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. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2008

Keywords: 41.20.Jb Electromagnetic wave propagation; radiowave propagation, 02.30.Gp Special functions, 03.50.De Classical electromagnetism, Maxwell equations, 42.55.Tv Photonic crystal lasers and coherent effects, (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1140/epjb/e2008-00183-0

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