Attenuation, cont.

An expression for the attenuation is:

(1)

where k is a measure of the amount of attenuation (attenuation factor)

[k] = 1/L

Taking Dr = dr and P_{r}-P_{0} = dP_{0}

Then (1) becomes:

(2)

Integrating the left-hand side gives:

(3)

where the exponential term is the attenuation factor which we will define as:

(4)

Substituting (3) into the radar equation gives:

(5)