Chapter 9, Problem 5P

Repeat Problem 9.4 for an antenna with

$F\left(\theta ,\varphi \right)=\{\begin{array}{l}{\sin }^2\theta {\cos }^2\varphi \text{ for 0}\le \theta \le \pi \\ \text{ and }-\pi \text{/2}\le \varphi \le \pi \text{/2}\\ 0\text{ elsewhere}\end{array}$

Determine the following:

1. (a) The direction of maximum radiation.
2. (b) Directivity.
3. (c) Beam solid angle.
4. (d) Half-power beamwidth in the x-z plane.