electrical prospecting

A method for obtaining analytical solutions of Maxwell equations is proposed for stationary and alternating electromagnetic fields. In contrast to traditional methods of finding the analytical solutions, based on the solution of direct problems of electrical prospecting, this method uses a specially posed inverse problem. A package of new analytical solutions of three-dimensional problems of electrical prospecting is designed

Problem for finding the criteria of belonging the vector fields to the set of electromagnetic fields is formulated. The existence and uniqueness of the solution of this problem are investigated. The desired criteria for the set of alternating electromagnetic fields in the frequency domain in the case of isotropic media are formulated. It is shown that these criteria are shared set of alternating electromagnetic fields in linear isotropic media into two subclasses. Are examples of the fields belonging to these subclasses.