Modeling the Underwater Acoustic Field Excited by an Airborne Rapidly Moving Source Using Wavenumber Integration

It is complicated to model the acoustic field in stratified ocean for airborne aircraft, due to high speed of the source and acoustic transmission across the air-water interface. The wavenumber integration representation given by Schmidt and Kuperman can be used to model the temporal received signal for a moving source in stratified media. However, it requires intensive computation for calculating two-dimensional integrals at each time sampling point. In this paper, a faster calculation method is presented, and the computation cost for the integrals can be reduced obviously. The acoustic fields in both shallow water and deep-sea environments were computed using this method with rapidly moving airborne source. When the source moves through a static receiver, an approximation of one-dimensional wave-number integration can be obtained by stationary phase method