Virtual pulse effect in incoherent scattering

During incoherent scattering of a radar pulse from an extended volume region it is appropriate, because of transit-time considerations, to work with a virtual pulse which differs from the true (transmitted) pulse both in size and shape. We have determined the coordinate transformation leading to the virtual pulse for the general far-field case. The Gaussian spheroidal incident pulse is then considered as a prototype, and implications on measurements are discussed.