Acoustic Energy Radiation from Rectilinearly Moving Point Sources with Unsteady Accelerations and Source-Strengths

Abstract

A detailed analysis is shown of the acoustic energy and power outputs of a point (monopole) source continuously moving along a forward path in several cases. These pertain to sources that have unsteady speeds or source strengths / lifetimes governed by various specific laws. These could be trigonometric, exponential, hyperbolic-tangent, error-function or combinations of these. The angular, frequency and joint angular and frequency distributions of the radiated power and / or energy, as well as the total radiated energy, are analytically determined in all cases by spatial, temporal or spectral techniques, thus illustrating their use and derivations. Comparisons are made of the various outputs in the analyzed cases, which sometimes maybe realizable in practice and resemble analogous results in classical electrodynamics.