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Stochastic modeling framework for wireless power transfer in the radiative near-field

Given the growing interest in wireless power transfer, there is a need to quickly evaluate the efficiency of such links for different power source and receiver separations and orientations. Moreover, a designer is not only interested in the nominal operating conditions, but also in the variations encountered due to variability and uncertainty in the system parameters and deployment conditions. We therefore propose a stochastic modeling framework to evaluate the efficiency of a wireless power transfer system in both the radiative near-field and far-field. Nominal performance and variations in the figures of merit of the system are rapidly accounted for by leveraging a vector spherical wave expansion, Wigner-D rotations and a stochastic testing procedure.