Propagation of short pulse through arbitrary relaxing media with resonant properties. New approach

Abstract

The new analytical representation of the fundamental solution (Green’s function) describing the short pulse propagation in a medium with a single process of resonant relaxation is presented in the report. This analytical solution is based on the generalized local response function of linear media [V. A. Larichev and G. A. Maksimov, Acoust. Phys. 44, No. 46, 709–716 (1998)]. It contains well-known Lorentz and Ziner models of relaxing media, like particular cases. The changing of the pulse shape at propagation, described by the obtained solution, shows a variety of forms of pulse propagation and general lows of pulse dynamics beginning from pure relaxation behavior and up to the resonant one. [Work supported by ISTC in Moscow.]