Low-frequency electromagnetic scattering on the circular crack in a conductive body

Modelling the crack as mathematical surface on which specified some distribution of electrical dipoles and using the method of small parameter the problem of scattering of the electromagnetic field on the circular crack adducted to system of the hypersingular integral equations of the Newtonian potential type. For the solution the method of orthogonal polynomials of two variables was proposed. Demonstrated that value of equivalent moment of dipole of the crack proportionate to normal component of the external low-frequency electric field.