analytical and asymptotic calculation methods

The paper deals with an approximate analytical solution of a three-dimensional problem of the theory of electromagnetic field, which is based on the use of asymptotic expansion under the condition of a strong skin-effect for a field produced by a closed current-carrying loop located near a conducting half-space.

The mathematical model based on the developed theory of the analytical solving the quasi-stationary tasks of pulse current flowing near to a conductive object with flat surface is introduced. The applied mathematical model includes an approximate solution with the use of asymptotic expansion for computing the intensity of a magnetic and electrical field in the case of transient electro-magnetic processes.