https://doi.org/10.1140/epjb/e2008-00183-0
Theory of electromagnetic wave propagation in a longitudinally periodic cylinder
Institut Henri Poincaré, 86 Bis Route de Croissy, 78110 Le Vésinet, France
Corresponding author: a pierre.hillion@wanadoo.fr
Received:
12
December
2007
Revised:
27
February
2008
Published online:
16
May
2008
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.
PACS: 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
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2008
