11.5. Using the log-perd computer program and Appendix IX, design an array which covers
the VHF television band. Design the antenna for 7 dBi gain optimized in terms of $\sigma - \tau$.
The antenna should be matched to a 75-ohm coaxial input cable. For this problem, set the
input line length to 0 meters, the source resistance to 0 ohms, the termination line length
to 0 meters, the termination impedance to 100 Kohms, the length-to-diameter ratio to 40,
and the boom diameter to 10 cm. To make the actual input impedance 75 ohms, one must
iteratively find the optimal desired input impedance.
(a) Plot the gain, magnitude of the input impedance, and VSWR versus frequency from
30 MHz to 400 MHz.
(b) Based on the ripples in the plot of gain versus frequency, what is $\tau$? Compare this value
to the value calculated by the computer program.
(c) Why does the gain decrease rapidly for frequencies less than the lower design frequency
yet decrease very slowly for frequencies higher than the upper design frequency?