| ZDR ~ 10 log (Ph / Pv) [dB] |
ZDR values for meteorological echoes typically range between -2 dB and 6 dB.
For example, consider a field of large, falling raindrops. The drops tend to fall with an oblate orientation -- similar to a hamburger bun. The field of drops, as a whole, will have a larger cross-section of water in the horizontal compared to the vertical. A horizontally-polarized radar pulse will, therefore, be backscattered more in this field of drops than a verically-polarized pulse, resulting in more radar return for the horizontal pulse than the vertical pulse. In this case, Ph > Pv, so ZDR > 0. Differential reflectivity values above 2 dB are commonly observed in rain.
Although hailstones are not necessarily spherical, studies have shown that they fall with a tumbling motion -- meaning a field of falling hailstones within the radar resolution volume will "appear" to consist of nearly spherical hydrometeors. Therefore, the value of ZDR for hail is usually close to zero.
Some graupel and hail hydrometeors with a conical shape can fall with their major axes oriented in the vertical. In these cases, the ZDR will be found to be negative.
ZDR is reflectivity-weighted, meaning the shape of the more strongly reflective hydrometeors will contribute more to the ZDR of a radar resolution volume than the more weakly reflective hydrometeors in the same volume.
For example, consider a resolution volume with a mixture of raindrops and hailstones. We know that, among other things, the reflectivity factor is a function of the average diameter of the hydrometeors in the volume to the 6th power, and the dielectric constant of the hydrometeors. Adding hailstones to a field of raindrops increases the average hydrometeor diameter, leading to a much higher reflectivity factor. Because in fall, appear nearly spherical, and because hailstones are much more reflective than raindrops, the reflectivity for horizontally-polarized radar pulses should be about the same as that for vertically-polarized pulses. This means ZDR should be near zero, in spite of the presence of rain.