Analytical solution for an acoustic wave emitted by a Gaussian pulse as described in Tam: Computational Acoustics, a wave number approach. Appendix G.3.
The pulse is described geometrical by an origin and a halfwidth, where center is the location of the maximum in the spherical Gaussian pulse, and halwidth is the radius at which the pulse has half the value of the maximum. The height of the pulse is given by amplitude. Note, this definition matches the gausspulse spatial function, which can be used as an initial condition to this problem. Additionally the speed of sound and the background pressure are required to compute the solution.
Pulse height in the initial condition at the center over the background value.
Location of the pulse center in 3D.
Radius of the initial pulse, where half the amplitude is reached.
A background value to use (result is given by background+pulse).
Speed of sound is the velocity by which the acoustic wave is to be transported.