Combined frequency-time domain analysis of FSS with nonlinear loads using Volterra integral equations

In this paper we refine the formulation of the combined frequency time domain analysis of the EM scattering from nonlinearly loaded scatterers or FSS. The response of the linear part is calculated in the frequency domain then the convolution theorem is used to obtain the nonlinear Volterra IE governing current through the nonlinear device terminals. Existence, uniqueness and asymptotic properties of the solution can be established using the comparison theorem which provides also a good initial approximation essential for high convergence rate of the numerical method of successive approximations.