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Trapped magnetic flux is known to be a significant contribution to theresidual resistance of superconducting radio frequency (SRF) cavities. Theadditional losses depend strongly if the vortices are depinned by the RF. Thedepinning is affected by the purity of the material, and the size of thepinning centers, as well as the cavity operation frequency. One may define adepinning frequency, above which significant depinning occurs. This publicationpresents a derivation of the depinning frequency from experimental data. Wefind a depinning frequency of 673 MHz for RRR 110 niobium. On this basis thecurrently used model is extended to describe the trapped flux sensitivity asfunction of residual resistance ratio (RRR) and operation frequency while alsoaccounting for the pinning center size and the treatment history of the cavity.Moreover, the model offers an explanation for the significantly higher trappedflux sensitivity reported for nitrogen doped and 120 C baked cavities.

Depinning of Trapped Magnetic Flux in Bulk Niobium SRF Cavities