  We consider an infinite chain of coupled harmonic oscillators with a Poisson
thermostat at the origin. In the high frequency limit, we establish the
reflection-transmission-scattering coefficients for the wave energy scattered
off the thermostat. Unlike the case of the Langevin thermostat [5], in the
macroscopic limit the Poissonian thermostat scattering generates a continuous
cloud of waves of frequencies different from that of the incident wave.
