Eur. Phys. J. AP 9, 29-35 (2000)
https://doi.org/10.1051/epjap:2000196

Electromagnetic pulses in Maxwell-Hopkinson dielectrics

Institut Henri Poincaré, 86 bis Route de Croissy, 78110 Le Vésinet, France

Corresponding author: pierre.hillion@wanadoo.fr

Received: 25 August 1999
Revised: 26 November 1999
Accepted: 26 November 1999
Published online: 15 January 2000

Abstract

A pulse is solution of a boundary-initial value problem for the wave equation.We investigate the propagation in the z-direction of a Maxwell-Hopkinson dielectric of three kinds of pulses launched from the z = 0 plane at some time: harmonic plane wave, Bessel wave, distortion-free progressing wave. We prove that at high frequency, and as soon as the transient state has died out, these pulses propagate with an exponential attenuation factor in the direction of propagation.