Abstract
A small-signal analysis is presented for the dc SQUID (Superconducting QUantum Interference Device) coupled to a general input impedance. This method differs from previous calculations by introducing perturbations of the SQUID variables into all of the equations describing a dc SQUID rather than just those describing the input circuit and the continuity of the wavefunction phase around the SQUID loop. From this method, one is able to determine analytic expressions for the impedance matrix, the power spectral densities of the two conjugate noise sources, and the cross-correlation power spectral density in terms of the well-known solutions of an isolated dc SQUID. The results presented are compared with the results of other techniques.
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