Derivation of nonlinear inductive coefficients from mutual inductance measurements of superconducting thin films

Claassen, J.H.
February 2004
Applied Physics Letters;2/16/2004, Vol. 84 Issue 7, p1135
Academic Journal
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 λ[sup 2](J)=λ[sub 0][sup 2][1+(J/J[sub 0])[sup 2]], where J is the current density and J[sub 0] 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 J[sub 0] within a fudge factor close to unity.


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