Some extensions of the concept of complementary electromagnetic structures

Extensions of Booker's concept of complementary electromagnetic structures to some cases of inhomogeneous media are presented. Consideration is given to planar antennas and their complement/duals, in the presence of pairs of arbitrarily shaped dielectric and/or magnetic bodies of arbitrary complex permittivity and permeability, positioned symmetrically with respect to the antenna plane. It is shown that a simple correspondence exists between electromagnetic fields in complementary/dual systems. The extension of the concept of complementary structures to transmission lines with transversally inhomogeneous media is discussed and a number of new exact relations between quasi-static parameters of complementary coplanar transmission lines are derived.