Fields and waves excited by impulsive point sources in motion-The general 3D time-domain Doppler effect

The pulse shapes of fields and waves excited by impulsive point sources in motion are analyzed through the application of a general Green's function procedure. Time-domain solutions to the scalar wave equation, the scalar dissipative wave equation (amongst which the relativistic heat conduction equation) and the scalar diffusion equation are discussed. The results express the general 3D time-domain Doppler effect on the field transfer from the generating source to some point elsewhere in the medium.