where formula_3 is the carrier frequency of the wave, formula_4 is the time, formula_5 is the speed of light, formula_1 is the distance from the antenna, formula_7 is the wavenumber and formula_8 is the wavelength, while formula_9 is the amplitude of the wave which depends on the power delivered to the antenna, on its characteristics and it is affected by the power losses in the waveguides. The function formula_10 is a modulating function which is 1 when its argument is between 0 and formula_11, and 0 elsewhere. Therefore, such electromagnetic (EM) field is oscillating sinusoidally in time within the pulse width formula_12 and is zero outside the pulse envelope, as shown in figure 3 on page 10 of. This EM wave is sent to the atmosphere: every pulse is scattered by a volume of air filled with hydrometeors and comes back to the radar. The antenna collects the returned signal, which is then filtered to remove the high carrier frequency, amplified and then downconverted and digitized.