FOCUSING PROPERTIES OF MAXWELLʹS FISH EYE MEDIUM

The existence of drains in the field of the point source both for the spherical cavity with perfectly conducting boundary, filled with a homogeneous medium, and for unbounded Maxwellʹs fish eye (MFE) are rigorously proved. The existence of all class of generalized Green functions for unbounded MFE medium is established. The Green function describing the perfect focusing is found in this class. The same result for the MFE lens is obtained.