The United States Weather Surveillance Radar-1988 Doppler (WSR-88D) radar network has been upgraded to dual-polarization capabilities, providing operational and research meteorologists with a wealth of new information regarding the types and distributions of hydrometeors within precipitating storms, as well as a means for improved radar data quality. In addition to the conventional moments of reflectivity factor at horizontal polarization (Z H), Doppler velocity (V r), and Doppler spectrum width (W), the new variables available from upgraded radars are the differential reflectivity (Z DR), differential propagation phase shift (Φ DP), specific differential phase (K DP), and the co-polar correlation coefficient (ρ hv or CC). In the first part of this review series, a description of the polarimetric radar variables available from the newly polarimetric WSR-88D radars is provided. An emphasis is made on their physical meaning and interpretation in the context of operational meteorology.