Correction to 'A Statistical Theory of Reverberation and Similar First-Order Scattered Fields-Part III, Waveform and Fields-Part IV. Statistical Models'

Abstract

The treatment in the above papers ^1 concerning the effects of a nonvanishing velocity gradient on the waveform and statistical properties of a scattered field and the resulting received reverberation return is to include possible phenomena. These, in turn, can become quite pronounced in the neighborhood of caustics and foci in various practical situations vis-a-vis the common unfocused or weakly focused cases. ^{2,3} The modification of earlier results is achieved by inserting an appropriate focusing \beta_0 along with the regular absorption factor (Y_{path}) for each leg in the propagation path: source \rightarrow scatter \rightarrow receiver. Extensions to the singular cases, treated more recently by the so-called modified ray theory ^4 , can also be carried out.