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Problem: A radar for tracking aircraft broadcasts at 12 GHz microwave beam from a 2.0-m-diameter circular radar antenna. From a wave perspective, the antenna is a circular aperture through which the microwaves diffracts A. What is the diameter of the radar beam at a distance of 30 km? B. if the antenna emits 100 kW of power what is the average microwave intensity at 30 km?

FREE Expert Solution

A.

Angular resolution:

sinθ=1.22λD where D is the diameter of the slit.

Relationship between wave speed, frequency and wavelength:

c=fλ

This problem involves diffraction of waves from a circular aperture.

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Problem Details

A radar for tracking aircraft broadcasts at 12 GHz microwave beam from a 2.0-m-diameter circular radar antenna. From a wave perspective, the antenna is a circular aperture through which the microwaves diffracts 

A. What is the diameter of the radar beam at a distance of 30 km? 

B. if the antenna emits 100 kW of power what is the average microwave intensity at 30 km?

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