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Measurements of the microwave surface impedance $Z_s(T)=R_s(T)+iX_s(T)$ andof the complex conductivity $\sigma_s(T)$ of high-quality, high-$T_c$ singlecrystals of YBCO, BSCCO, TBCCO, and TBCO are analyzed. Experimental data of$Z_s(T)$ and $\sigma_s(T)$ are compared with calculations based on a modifiedtwo-fluid model which includes temperature-dependent quasiparticle scatteringand a unique temperature variation of the density of superconducting carriers.We elucidate agreement as well as disagreement of our analysis with the salientfeatures of the experimental data. Existing microscopic models are reviewedwhich are based on unconventional symmetry types of the order parameter and onnovel mechanisms of quasiparticle relaxation.Comment: 15 pages, 17 figures, 1 tabl

Phenomenological description of the microwave surface impedance and complex conductivity of high-T c single crystals