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Based on rigorous scattering theory we establish a systematic methodology forresearch of metamaterial-modified current-carrying conductors, from which wemathematically demonstrate the explanation of transformation optics could beextended in metamaterial-modified wireless power transfer system, and based onthat we could establish a equivalent model. More important, our demonstrationreveals that the equivalent model will still be applicable even when TO couldnot give a direct explanation, as the requirements of complementary media isnot satisfied. And numerical results from our methodology as well as COMSOLverified our findings. The demonstration is not under specific frequency, theconclusion could be extended to a broad range of wavelength, and expected to beapplicable for active cloak etc.

Extend the explanation of transformation optics in metamaterial-modified wireless power transfer system