Effective methods of numerical estimates of acoustic fields in the stratified ocean generated by moving airborne sources

The underwater acoustic wave propagation in the stratified ocean produced by moving airborne sources is investigated. We construct the asymptotics of the acoustic pressure in the ocean on large horizontal distances between a moving in the air source and a receiver located in the ocean. Our study is based on the representation of the acoustic field P(t, x, z) generated by a moving airborne source of the form of a time-frequency integral. For the numerical implementations we use the method of spectral parameter power series (SPPS method).