The Electromagnetic Field at the Flat Surface of Conducting Body Caused by Basic Sources of a Non-Uniform External Field

The purpose of the work is to obtain the expressions for the intensities of the electric and magnetic components of electromagnetic field at the action of two types of the basic sources of external field located near conducting half-space, where the eddy currents flow. The basic sources are the rectilinear current of infinite length, parallel to the interface between the dielectric and conducting media, and the magnetic moment, oriented along normal to the interface. The solution for electromagnetic field at surface between the media is applied. It is valid for strong skin effect in the form of expansion into an asymptotic series. Each term of the series is proportional to the derivative of corresponding order of external field components. This allows taking into account the external field non-uniformity. It is shown that the mathematical models with ideal skin effect have limited application. Then it is necessary to use more correct mathematical models for non-uniform field and a bounded depth of skin layer. The obtained expressions for electromagnetic field at the action of the basic sources of non-uniform external field allow us to use the principle of superposition to determine the field distributions in electromagnetic systems with more complex three-dimensional configuration. References 25, figures 5.