A Reconfigurable Metadevice for Solving Equations and Inverting Matrices at RF Frequencies

Abstract

Here, we describe some of the basic steps for solving mathematical equations with a metadevice, i.e., a subwavelength network that allows for the inversion of any desired matrix. The device consists of a connected network architecture of an elementary module. We examine possible RF implementations and provide simulated and experimentally measured preliminary results of this module, and demonstrate the case of $2 \times 2$ matrix multiplication, paving the way towards the experimental implementation of metastructures with equation solving and matrix inversion capabilities.