Analytical representation for 3D fields of antenna radiation in problems of georadar sounding

This paper describes algorithmization representations for field of radiation of the antennas applied in GPR scanning of subsurface structures, in stratiform and two-layer soils in three-dimensional approach. Results include asymptotic representations for fields on small distances from the antenna and analytical representation for a superficial wave. Asymptotic representations of field allow eliminating singularity in numerical modeling, to consider field influence on a current in the antenna during solving of three-dimensional inverse problem of GPR-location. Asymptotic representation of superficial wave field allows to reduce time of solution finding in inverse problems of GPR scanning and to clear data of the observable reflected field.