In this paper, double periodic arrays of nonlinearly loaded wires are efficiently analyzed. The analysis is based on predicting formulae extracted from nonlinear currents approach. The proposed formulae are applied to infinite arrays of nonlinearly loaded wires under oblique incidence. The simulation results show that the induced voltage at mixing harmonic frequencies are in excellent agreement with harmonic balance technique. As an application, the phase conjugation via this modeling approach is investigated which is in agreement with the accurate approach.