Optimization method of solving the inverse problem for the wave equation

For interpretation of GPR data the mathematical model of wave propagation, which perturbed by a plane wave incident on the surface is proposed. The inverse problem for the wave equation is considered. For solving the two-dimensional inverse problem the linearization method is used. The optimization method of solving the inverse linearized problem is developed. The experimental researches on the diagnoses of the runway of private airport located on the territory of Almaty in the Republic of Kazakhstan by using georadar (GPR) are presented.