Abstract
A mutual inductance setup consisting of coils on opposite sides of a superconducting film is a well-known means to determine the penetration depth λ. Recently, it was shown that the same apparatus may be used to measure a nonlinear dependence of the form λ2(J)=λ02[1+(J/J0)2], where J is the current density and J0 characterizes the scale of nonlinear response. In this letter we calculate the nonlinear coupling between coils produced by this dependence. The calculation was done for a simplified geometry that retains the essential physics of the actual setup used in experiments, and allows quantitative evaluation of J0 within a fudge factor close to unity.
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