Katherine Walls

2022-01-17

A radar for tracking aircraft broadcasts at 12 GHz microwave beam from a 2.0-m-diameter circular radar antenna. From a wave perspective the antenna is a circular aperture through which the microwaves diffracts. A. what is the diameter of the radar beam at a distance of 30 km? B. if the antenna emits 100 kW of power what is the average microwave intensity at 30 km?

ramirezhereva

b) The average microwave intensity is,
$I=\frac{P}{A}$
$=\frac{P}{\pi {r}^{2}}$
$=\frac{4P}{\pi {d}^{2}}$

RizerMix

a) The wavelength of the wave is, $\lambda =\frac{c}{f}$ The angular resolution of the system is, $\mathrm{sin}\theta =1.22\left(\frac{\lambda }{D}\right)$ $\theta ={\mathrm{sin}}^{-1}\left(0.01525\right)$ The diameter of the radar beam from the half angle is,

alenahelenash