-The speed with which electromagnetic energy can be wirelessly transferred from a source to the user is a crucial parameter for performance of a large number of electronic and photonic devices. In this presentation we determine the constituent parameters of a medium which supports theoretically infinite energy concentration close to a medium sample surface; such a material combines properties of Perfectly Matched Layers (PML) and Double-Negative (DNG) media. It realizes conjugate matching with free space for every possible mode including, most importantly, all evanescent modes. We show that extremely high-amplitude resonating fields in the vicinity of a conjugately matched body can create large far-field radiation with the use of randomly placed particles which play the role of emission "vessels".
I. GENERAL PRINCIPLESIn order to maximize the power wirelessly delivered from a source to a load, the load should be conjugately matched to the internal impedance of the source. This well-known maximal power principle applied in circuits can be generalized to cover electrically sizable electromagnetic structures. The only difference is that in the latter case there are infinitely many channels (modes) for transferring energy; if all of them obey the conjugate-matching principle, the tranferred power P is diverging [1]. In particular, the load can be replaced by a semi-infinite halfspace filled with a uniaxial medium of relative constituent properties (ε rt , μ rt , ε rn ) and the source by any dipole or multipole placed in the vicinity of the interface [2]. Considering TM illumination (which does not damage the generality), the internal impedance of the source is the one of free space:√ ε 0 μ 0 is the free-space wavenumber and k t the transverse wavenumber for the direction parallel to the interface (t stands for transverse and n for normal direction to the surface of the material sample). The symbols η 0 , λ 0 , ε 0 and μ 0 correspond to the free-space impedance, wavelength, permittivity and permeability, respectively (e +j2πf τ time dependence is suppressed, and f is the operational frequency). The TM wave impedance of the uniaxial medium is given by:, where (ε rt , μ rt ) are the transverse and normal permittivities, and μ rt its transverse permeability. It has been shown [2] that the constituent parameters of the uniaxial medium which can achieve conjugate matching with free space Z(k t ) = Z * 0 (k t ) for every single mode k t , should satisfy the Perfectly Matched Layer (PML) rule [3] but with negative real parts, namely:That is why we call such an effective material Conjugate Matched Layer (CML). The ordinary PML just behaves like a perfect "black body" [4] based solely on the propagating modes; on the contrary, CML fully exploits all the evanescent waves additionally. Note that the parameter b > 0 represents the losses along the transverse direction, which means that a medium defined by (1) is active along the normal direction (Im[ε rn ] > 0).