Photoacoustic effect generated by moving optical sources: Motion in three dimensions

Although the photoacoustic effect is commonly produced through use of pulsed or amplitude-modulated radiation, it can also be generated by a steady source moving in space. Here, the properties of the photoacoustic effect generated by moving sources in three dimensions are investigated. The mathematics for the moving photoacoustic point source are shown to be closely related to that for derivation of the Lienard-Wiéchert potential for a moving point charge. The cases of rectilinear motion with the speeds lower than, equal to, and greater than the sound speed, as well as a point source oscillating in space are reported. Of note is that a bounded amplification effect is found for a Gaussian source moving at the sound speed, which is in contrast to the unbounded amplification seen in a one-dimensional geometry.