Exploiting waveguide-based metatronic circuits for partial differential equation solving

In this work, we exploit a grid-like network of waveguide-based metatronic circuits to calculate the solutions to partial differential equations (PDEs) in the form of the Helmholtz wave equation. An in-depth study of this structure is carried out and several examples of Dirichlet and open boundary problems are presented, demonstrating the versatility and accuracy of this method of analogue PDE solving.