Large amplitude waves in stratified media: acoustic pulses

Abstract

A general theory is presented which describes disturbances generated by large amplitude, high frequency pulses in stratified media. The theory is used to discuss large amplitude, but shockless, acoustic pulses propagating under the influence of a constant gravity force into an atmosphere which need not be in thermal equilibrium before their arrival.The modulating influences of pressure and temperature stratification on the amplitudes of such pulses as they move towards or away from earth are described in detail.The paper generalizes techniques already established by Whitham (1956) so that they are applicable to disturbances of any amplitude.