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663.


Problem 46.27 (RHK)


Millimetre-wave radar generates a narrower beam than conventional microwave radar. This makes it less vulnerable to antiradar missiles. (a) We have to calculate the angular width, from first minimum to first minimum, of the centrallobeproduced by a 220-GHz radar beam emitted by a 55-cm diameter circular antenna. (b) We have to calculate the same quantity for a ship’s radar with a wavelength of 1.57 cm, and a 2.33 m diameter antenna.


Solution:           Click For PDF Version

The wavelength of radar waves of 220-GHz frequency is

In a diffraction pattern from a circular antenna of diameter d, the angular position of the first minima is given by the relation

.

As the diameter of the antenna is

we note that


Therefore, the angular width of the central “lobe” will be .

(b)

In the second part of the problem the relevant data are

We have

The angular width of the central “lobe” will be .