A pulse is solution of a boundary-initial value problem for the wave equati
on. We investigate the propagation in the z-direction of a Maxwell-Hopkinso
n 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 die
d out, these pulses propagate with an exponential attenuation factor in the
direction of propagation.