Analytical Solution of Radiated Acoustic Field by Moving Monopolar and Dipolar Sources

It is challenging to predict the patterns of radiated acoustic field from a complex moving source while this topic is important in the field of ocean acoustics. A possible method is to decompose the complex field into the addition of fundamental sources such as monopolar and dipolar ones. In this study, we derive the analytical solution of radiated acoustic fields generated by a moving monopolar or dipolar source, and the combination of them based on the Lorentz transformation. The analytical expressions of the radiated sound pressure by a moving monopolar or dipolar source are given with no limit on the moving direction and excitation frequency. Numerical simulations are conducted to reveal the Doppler effect of the moving sources and the potential application of the combination of monopolar and dipolar sources to simulate complex fields. This work may help design acoustic models to predict the radiated sound field by complex sources in the field of ocean engineering.