Two efficient algorithms for the analyses of a nonlinearly loaded antenna and antenna array in the frequency domain

In this paper, two efficient algorithms for the steady-state scattering responses of a nonlinearly loaded antenna and antenna array in the frequency domain are studied. One is the reflection algorithm (RA), and the other is the inexact Newton approach (INA). The analysis is equivalent to a nonlinear circuit problem with the circuit parameters of antenna element obtained by the moment method. This equivalent nonlinear circuit is then solved using the RA or the INA. In general, the RA is suitable to strongly nonlinearly circuit element. While the INA is suitable for multifrequency excitation. In dealing with the nonlinearly loaded antenna array, the infinite periodic structure Green's function, including the array mutual coupling effects, is applied to simplify the analysis. Both of the two algorithms are easy to be combined with the periodic Green's function to deal with the large nonlinearly loaded antenna array problem.