Nonlinear constructive interference in electrical lattices.

We analyze the constructive interference of input signals in nonlinear, discrete, two-dimensional media. The media consist of inductor-capacitor lattices with saturating, voltage-dependent capacitors. We find that nonlinearity significantly boosts the ability of such media to generate large-amplitude output signals from small-amplitude inputs. To understand this boosting, we develop a general perturbative method suitable for finding the steady-state solution of a damped NxN nonlinear lattice that is driven at a single frequency. We verify our theory using extensive numerical simulations.