The measured values of microwave surface resistance and reactance of a
superconductor have generally three contributions from (1) the intrin
sic properties, (2) the internal defects, and (3) the external surface
roughness. In this paper, we formulate the increased factor of surfac
e resistance and reactance of superconductors using Morgan's square-gr
ooves model and with the consideration that the current flows along th
e irregular surface. Numerical results obtained using a finite differe
nce method are presented together with fitted closed-form formulas.