THE APPROXIMOBILITY PROBLEM FOR THE ELECT ROMAGNETIC-FIELD

The connection between geometrical properties of a surface and the pro perties of electromagnetic fields generated by surface monochromatic c urrent is considered. The is a continual cardinality of surfaces for w ith almost every field (and patterns) cannot be approximated by this f ields whetever surface currents we take. The stady of such surfaces is based on the fact that they are zero-surfaces of a non-propagating (r eal) electromagnetic field satisfied Maxwell equations. Even the neern ess of any surface to the surface with such properties lead to nontriv ial properties of field of currents inducted on this surface.