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

Abstract

The new analytical representation of fundamental solution (Green’s function) describing the short-pulse propagation in medium with single process of resonant relaxation is presented in this 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, 709–716 (1998)]. It contains well known Lorentz and Ziner models of relaxing media, as particular cases. The changing of pulse shape at propagation, described by obtained solution, shows a variety of forms of pulse propagation and general lows of pulse dynamics beginning from pure relaxation behavior and up to a resonant one. [Work supported by Russian Found Dasic Research (Project No. 00-02-16556).]