Similarity relations for physical modeling of the acoustic fields in a shallow sea

Using the mode formalism, we consider the similarity relations for scale modeling of the acoustic fields in a shallow sea. The corresponding conditions for physical modeling of sound propagation and diffraction in a waveguide with regular parameters are obtained. The similarity relations for spatio-temporal mode correlation functions are also found in the case of acoustic fluctuations caused by wind waves and random internal waves. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 52, No. 4, pp. 318–327, April 2009.