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The problem of transient EM radiation by a linear current source placed on the ground-air interface is analytically studied. We derive a self-modeling exact solution for the interfacial Green function. The spatio-temporal radiation pattern is constructed by means of the Duhamel integral. An inverse problem of antenna current reconstruction from the measured waveform of direct surface wave is solved analytically. An example of real GPR data deconvolution is given. Keywords—Subsurface sensing, Ground Penetrating Radar (GPR), electromagnetic pulse radiation, ground-air interface, time-domain Green function, spatio-temporal radiation pattern, inverse problem, deconvolution.

A Time Domain Model of GPR Antenna Radiation Pattern