Superconducting Surface Impedance under Radiofrequency Field
B. P. Xiao, C. E. Reece, M. J. Kelley
TL;DR
This paper derives the surface impedance of superconductors under RF fields using BCS theory, providing numerical results for niobium and comparing them with experimental measurements to enhance understanding of RF superconductivity.
Contribution
It introduces a theoretical model based on BCS theory with moving Cooper pairs to calculate surface impedance under RF fields, linking theory with experimental data.
Findings
Numerical surface impedance results for Nb match experimental RF resistance data.
Theoretical model explains RF field dependence of superconductor surface impedance.
Enhanced understanding of superconducting surface behavior at RF frequencies.
Abstract
Based on BCS theory with moving Cooper pairs, the electron states distribution at 0K and the probability of electron occupation with finite temperature have been derived and applied to anomalous skin effect theory to obtain the surface impedance of a superconductor under radiofrequency (RF) field. We present the numerical results for Nb and compare these with representative RF field-dependent effective surface resistance measurements from a 1.5 GHz resonant structure.
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