Wave propagation and methods of solution of the wave equation for moving disturbance sources

The basic equations of wave propagation from moving singularities are introduced and the radiation process is presented in the space-time continuum. Definitions of the spatial and temporal influence functions arising from the motion of the disturbance sources are deduced. For the solution of the wave equation the basic function in the extended Green's identity is derived completely from first principles and in compliance with the physical processes. A modified formulation of the Lorenz-transformation holds the essential nondimensionalized field quantities invariant while changing over from Lorentz space to physical space.