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Measuring the $ac$ magnetic response of a type II superconductor providesvaluable information on the pinning landscape (pinscape) of the material. Weuse strong pinning theory to derive a microscopic expression for the Campbelllength $\lambda_{\rm \scriptscriptstyle C}$, the penetration depth of the $ac$signal. We show that $\lambda_{\rm \scriptscriptstyle C}$ is determined by thejump in the pinning force, in contrast to the critical current $j_c$ whichinvolves the jump in pinning energy. We demonstrate that the Campbell lengthsgenerically differ for zero-field-cooled and field-cooled samples and predictthat hysteretic behavior can appear in the latter situation. We compare ourfindings with new experimental data and show the potential of this technique inproviding information on the material's pinscape.

Campbell response in type II superconductors under strong pinning conditions