Question: A certain antenna has a radiation intensity given by [ F(theta, phi)=left{begin{array}{ll} left|cos ^{n} thetaight| & 0 leq theta leq(pi / 2) 0 &

A certain antenna has a radiation intensity given by

\[
F(\theta, \phi)=\left\{\begin{array}{ll}
\left|\cos ^{n} \thetaight| & 0 \leq \theta \leq(\pi / 2) \\
0 & (\pi / 2) \leq \theta \leq \pi
\end{array}ight\}
\]

Compute the directivity for $n=1,2$.

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