Complex differential form

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The scale of dBZ values can be seen along the bottom of the image.

dBZ stands for decibels relative to Z. It is a meteorological measure of equivalent reflectivity (Z) of a radar signal reflected off a remote object. The reference level for Z is 1 mm⁶ m⁻³, which is equal to 1 μm³. It is related to the number of drops per unit volume and the sixth power of drop diameter.

Reflectivity of a cloud is dependent on the number and size of reflectors (hydrometeors), which includes rain, snow, graupel, and hail. A large number of small hydrometeors will reflect the same as one large hydrometeor. The signal returned to the radar will be equivalent in both situations, so a group of small hydrometeors is virtually indistinguishable from one large hydrometeor on the resulting radar image.

A meteorologist can determine the difference between one large hydrometeor and a group of small hydrometeors as well as the type of hydrometeor using the polarization and phase shifting of the Doppler Radar. The reflectivity image is just one type of image produced by the radar, using it alone a meteorologist could not tell the difference between nickle sized hail and heavy rain. In combination with other images gathered by the radar during the same scan (dual polarization products), they can distinguish between hail, rain, snow, biologicals (birds, bugs), and other atmospheric phenomena.

NOAA dBZ scale for weather radar

One dBZ-scale of rain:

• >65 Extreme
• 46-65 heavy
• 24-45 moderate
• 8-23 light
• 0-8 Barely anything

dBZ values can be converted to rainfall rates in millimetres per hour using this formula:

• ${\frac {\mathrm {mm} }{\mathrm {hr} }}=\left({\frac {10^{(dBZ/10)}}{200}}\right)^{5 \over 8}$

dBZ	R (mm/h)	Rate (in/hr)	Intensity
5	0.07	< 0.01	Hardly Noticeable
10	0.15	< 0.01	Light Mist
15	0.3	0.01	Mist
20	0.6	0.02	Very Light
25	1.3	0.05	Light
30	2.7	0.1	Light to Moderate
35	5.6	0.22	Moderate Rain
40	11.53	0.45	Moderate Rain
45	23.7	0.92	Moderate to Heavy
50	48.6	1.90	Heavy
55	100	4	Very Heavy / Small Hail
60	205	8	Extreme / Moderate Hail
65	421	16.6	Extreme / Large Hail

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