Reflectivity Return echoes from targets ("
reflectivity") are analyzed for their intensities to establish the precipitation rate in the scanned volume. The wavelengths used (1–10 cm) ensure that this return is proportional to the rate because they are within the validity of
Rayleigh scattering which states that the targets must be much smaller than the wavelength of the scanning wave (by a factor of 10). Reflectivity perceived by the radar (Ze) varies by the sixth power of the rain droplets' diameter (D), the square of the dielectric constant (K) of the targets and the
drop size distribution (e.g. N[D] of
Marshall-Palmer) of the drops. This gives a truncated
Gamma function, of the form: :Z_e = \int_{0}^{Dmax} |K|^2 N_0 e^{-\Lambda D} D^6dD Precipitation rate (R), on the other hand, is equal to the number of particles, their volume and their fall speed (v[D]) as: :R = \int_{0}^{Dmax} N_0 e^{-\Lambda D} {\pi D^3 \over 6} v(D)dD So Ze and R have similar functions that can be resolved by giving a relation between the two, in the form called
Z-R relation: : Z = aRb Where a and b depend on the type of precipitation (snow, rain,
convective or
stratiform), which has different \Lambda, K, N0 and v. • As the antenna scans the atmosphere, on every angle of azimuth it obtains a certain strength of return from each type of target encountered. Reflectivity is then averaged for that target to have a better data set. • Since variation in diameter and dielectric constant of the targets can lead to large variability in power return to the radar, reflectivity is expressed in
dBZ (10 times the logarithm of the ratio of the echo to a standard 1 mm diameter drop filling the same scanned volume).
How to read reflectivity on a radar display Radar returns are usually described by colour or level. The colours in a radar image normally range from blue or green for weak returns, to red or magenta for very strong returns. The numbers in a verbal report increase with the severity of the returns. For example, the U.S. National NEXRAD radar sites use the following scale for different levels of reflectivity: • magenta: 65 dBZ (extremely heavy precipitation, > per hour, but likely hail) • red: 50 dBZ (heavy precipitation of per hour) • yellow: 35 dBZ (moderate precipitation of per hour) • green: 20 dBZ (light precipitation) Strong returns (red or magenta) may indicate not only heavy rain but also thunderstorms, hail, strong winds, or tornadoes, but they need to be interpreted carefully, for reasons described below.
Aviation conventions When describing weather radar returns, pilots, dispatchers, and air traffic controllers will typically refer to three return levels: •
level 1 corresponds to a green radar return, indicating usually light precipitation and little to no turbulence, leading to a possibility of reduced visibility. •
level 2 corresponds to a yellow radar return, indicating moderate precipitation, leading to the possibility of very low visibility, moderate turbulence and an uncomfortable ride for aircraft passengers. •
level 3 corresponds to a red radar return, indicating heavy precipitation, leading to the possibility of thunderstorms and severe turbulence and structural damage to the aircraft. Aircraft will try to avoid level 2 returns when possible, and will always avoid level 3 unless they are specially designed research aircraft.
Precipitation types Some displays provided by commercial television outlets (both local and national) and weather websites, like
The Weather Channel and
AccuWeather, show precipitation types during the winter months: rain, snow, mixed precipitations (
sleet and
freezing rain). This is not an analysis of the radar data itself but a post-treatment done with other data sources, the primary being surface reports (
METAR). Over the area covered by radar echoes, a program assigns a precipitation type according to the surface temperature and
dew point reported at the underlying
weather stations. Precipitation types reported by human operated stations and certain automatic ones (
AWOS) will have higher weight. Then the program does interpolations to produce an image with defined zones. These will include
interpolation errors due to the calculation.
Mesoscale variations of the precipitation zones will also be lost. :* Differential Reflectivity (
Zdr) – Differential reflectivity is proportional to the ratio of the reflected horizontal and vertical power returns as
ZH /
ZV. Among other things, it is a good indicator of droplet shape. Differential reflectivity also can provide an estimate of average droplet size, as larger drops are more subject to deformation by aerodynamic forces than are smaller ones (that is, larger drops are more likely to become "hamburger bun-shaped") as they fall through the air. :* Correlation Coefficient (
ρhv) – A statistical correlation between the reflected horizontal and vertical power returns. High values, near one, indicate homogeneous precipitation types, while lower values indicate regions of mixed precipitation types, such as rain and snow, or hail, or in extreme cases debris aloft, usually coinciding with a
tornado debris signature and a
tornado vortex signature. :* Linear Depolarization Ratio (
LDR) – This is a ratio of a vertical power return from a horizontal pulse or a horizontal power return from a vertical pulse. It can also indicate regions where there is a mixture of precipitation types. :* Differential Phase (
\Phi_{dp}) – The differential phase is a comparison of the returned phase difference between the horizontal and vertical pulses. This change in phase is caused by the difference in the number of wave cycles (or wavelengths) along the propagation path for horizontal and vertically polarized waves. It should not be confused with the Doppler frequency shift, which is caused by the motion of the cloud and precipitation particles. Unlike the differential reflectivity, correlation coefficient and linear depolarization ratio, which are all dependent on reflected power, the differential phase is a "propagation effect." It is a very good estimator of rain rate and is not affected by
attenuation. The range derivative of differential phase (specific differential phase,
Kdp) can be used to localize areas of strong precipitation/attenuation. With more information about particle shape, dual-polarization radars can more easily distinguish airborne debris from precipitation, making it easier to locate
tornados. With this new knowledge added to the reflectivity, velocity, and spectrum width produced by Doppler weather radars, researchers have been working on developing algorithms to differentiate precipitation types, non-meteorological targets, and to produce better rainfall accumulation estimates. In the U.S.,
NCAR and
NSSL have been world leaders in this field.
NOAA established a test deployment for dual-polametric radar at NSSL and equipped all its 10 cm
NEXRAD radars with dual-polarization, which was completed in April 2013. In 2004,
ARMOR Doppler Weather Radar in Huntsville, Alabama was equipped with a SIGMET Antenna Mounted Receiver, giving Dual-Polarmetric capabilities to the operator.
McGill University J. S. Marshall Radar Observatory in
Montreal, Canada has converted its instrument (1999) and the data were used operationally by
Environment Canada in Montreal until its closure in 2018. Another Environment Canada radar, in
King City (North of
Toronto), was dual-polarized in 2005; it uses a 5 cm wavelength, which experiences greater
attenuation. ==Radar display methods==