Abstract
In this article, we introduce a general analytical procedure to unambiguously characterize a metasurface through its lumped circuital equivalent in resonant inductive Wireless Power Transfer (WPT) applications. The proposed model incorporates the finite extent of the slab, as well as the WPT near field operative regime and the presence of the particular driving/receiving coils arrangement, providing quantitative and easy-to-handle parameters which can be manipulated to achieve WPT performance enhancement. We first develop the theoretical background aimed at the lumped parameters extraction, which reveals, for WPT applications, more accurate and robust with respect to the conventional sub-wavelength homogenization theories based on infinite slab extent and impinging plane wave hypotheses. We provide some general guidelines for the design of metasurfaces for WPT performance enhancement based on the derived circuit model; afterwards, we numerically design a test-case consisting of two resonant coils (driver and receiver, respectively) with an interposed passive metasurface to verify the developed theory. Finally, we show some measurements performed on a fabricated prototype, that present an overall excellent agreement with both the lumped model and the numerical simulations.
Highlights
M ETAMATERIALS and their 2D counterparts represent nowadays a well-established and important research field in the electromagnetism community [1], [2]
We propose for the first time a general analytical procedure to extract an accurate and unambiguous lumped parameters equivalent of a metasurface in resonant inductive Wireless Power Transfer (WPT) applications
In this article, we introduced a general analytical procedure to extract a lumped parameters circuital equivalent for metamaterials and metasurfaces employed in resonant inductive Wireless Power Transfer applications
Summary
M ETAMATERIALS and their 2D counterparts (i.e., metasurfaces) represent nowadays a well-established and important research field in the electromagnetism community [1], [2] Their capability to show dielectric and magnetic properties not found in nature have been proved to be extremely useful in a number of different applications. To properly work, one fundamental requirement relies in the unit-cell dimension, which must be in the extremely subwavelength regime. In this way, the electromagnetic field impinging in the meta-structure cannot distinguish its elementary organization and it is interpreted as a homogeneous material [12]–[15]
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