Question

Asked Dec 24, 2019

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The radiation pattern of an antenna is given by F(x)= cos^{4} x with 0<x<pi/2.

What will be the directivity of the antenna?

Step 1

Directivity is a very important antenna parameter and it can be used to determine how concentrated the radiation is in a specific direction. If antenna radiation pattern *F(x)* is given, then the directivity can be expressed as

Step 2

Radiation pattern is expressed in spherical polar coordinates.

In this case, the radiation pattern is given as

Step 3

The maximum value of *F(x)* will be 1. The average value of *F(x)* can be computed in the following way:

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