Antenna Gain - Example Calculation

Example Calculation

Suppose a lossless antenna has a radiation pattern given by:

Let us find the gain of such an antenna.

Solution:

First we find the peak radiation intensity of this antenna:

The total radiated power can be found by integrating over all directions:

Since the antenna is specified as being lossless the radiation efficiency is 1. The maximum gain is then equal to:

.

Expressed relative to the gain of a dipole we would find:

.

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