Abstract: An antenna system includes a tunable medium, rectifier circuitry, combining circuitry, and control circuitry. The tunable medium includes antenna elements corresponding to lumped impedance elements and variable impedance control inputs configured to enable selection of an impedance value for each of the lumped impedance elements. The control circuitry is configured to determine a scattering matrix (S-matrix) relating field amplitudes at lumped ports including internal lumped ports and lumped external ports. The internal lumped ports correspond to the lumped impedance elements, and the lumped external ports correspond to at least one of the rectifier circuitry inputs, the combined output of the combining circuitry, and the at least one transmitting element. A method includes determining at least a portion of component values of a desired S-matrix, and adjusting the variable impedance control inputs to at least approximate at least a portion of the desired S-matrix.

Abstract: An antenna system includes a tunable medium, rectifier circuitry, combining circuitry, and control circuitry. The tunable medium includes antenna elements corresponding to lumped impedance elements and variable impedance control inputs configured to enable selection of an impedance value for each of the lumped impedance elements. The control circuitry is configured to determine a scattering matrix (S-matrix) relating field amplitudes at lumped ports including internal lumped ports and lumped external ports. The internal lumped ports correspond to the lumped impedance elements, and the lumped external ports correspond to at least one of the rectifier circuitry inputs, the combined output of the combining circuitry, and the at least one transmitting element. A method includes determining at least a portion of component values of a desired S-matrix, and adjusting the variable impedance control inputs to at least approximate at least a portion of the desired S-matrix.