For a school assignment I need to calculate a link budget between two half wave dipole antennas, but I am stuck at calculating the polarisation losses in the antennas. the antennas are ideal and matched. The antennas are 6 KM apart, the signal strengt Ps = 10 W, frequency f= 100 MHz, angle between the antennas is 50 degree and the max Gain of the antennas is 2,13dB.
I have to calculate the link budget between S and E3. What the teacher did the following to get the Gains with polarisation loss:
Gs3 = 10log (10^2,13 * (sin^3(90+50))^2 ) = -1,707dBi
G3s = 10log(sin^2(90-50) ) = - 1,707dBi
The problem is that I am not getting these numbers when I use these formulas and different now I am seriously confused about how I am supposed to calculate this.
I do know that the original formula for polarisation loss in dB is: 20 log( Cos^2(a)). But even when I use this formula I am not getting the same numbers as what the teacher gave us.