Source Synthesis in Substrate Media: Fundamental Bounds

Abstract: A mathematical inverse source theory in substrate media is derived, with applications to analysis, source-synthesis and characterization of antennas embedded in substrates. The developed theory, which is based on optimization theory, and the associated computer illustrations, shed basic understanding, from first principles, of radiation enhancements due to substrates, such as reduction of required physical resources (size, current level, tuning to resonance, and so on) for the launching of given fields. The derived results are fundamental, in particular, device-independent, and thus constitute a formal benchmark, clarifying fundamental bounds in performance with given resources, or in the minimal resources for given performance, in the context of antenna-embedding media.