In the definition of reaction, replace the imposed current densities with their complex conjugates. Retain all the other assumptions of the reciprocity theorem. Prove that a “modified” reciprocity...

In the definition of reaction, replace the imposed current densities with their complex conjugates. Retain all the other assumptions of the reciprocity theorem. Prove that a “modified” reciprocity theorem, involving “reactions” modified in this way, holds only if the medium is strictly lossless. Is this a meaningful, physically acceptable result ?