A. V. Ashikhmin, Yu. G. Pasternak, Yu. A. Rembovskiy

The purpose of the present work is the illustration of an opportunity of the description a component of an electromagnetic field and a current in various electrodynamic objects which surface supposes piecewise-plane approximation, with the help of the Cauchy integral. On the example of consideration of the elementary electrodynamic objects, such as a dielectric and metal cube, it is shown that the similar description of a field allows restoring values of a field (current) in internal areas of sides of object (or plane intersecting the object) in a wide band frequencies. It is offered to use a method of the Cauchy integral for decreasing dimension of systems of linear algebraic equations to which the vector boundary equations of electrodynamics, formulated in spatial-frequency area are reduced.