In order to achieve maximum power efficiency with inductively coupled RFID tags, the impedances of the spiral coil and the integrated circuit must be matched to each other. In this paper, we present a numeric approximation of the impedance of a rectangular spiral coil by means of a coupled electromagnetic and circuit analysis called Partial Element Equivalent Circuit method and verify our simulation with measurement results. We include the effective permittivity in our 3D capacitance extraction method and fit the simulated impedance to a simple RLC equivalent circuit model which is also used by our measurement device and compare the resulting element values. Our Matlab-based simulator shows good agreement over the frequency band of interest and allows for optimization for various design goals.
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