  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.
