Single Slit Diffraction Video Lessons

Concept

# 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:

$\overline{){\mathbf{s}}{\mathbf{i}}{\mathbf{n}}{\mathbf{\theta }}{\mathbf{=}}{\mathbf{1}}{\mathbf{.}}{\mathbf{22}}\frac{\mathbf{\lambda }}{\mathbf{D}}}$ where D is the diameter of the slit.

Relationship between wave speed, frequency and wavelength:

$\overline{){\mathbf{c}}{\mathbf{=}}{\mathbf{f}}{\mathbf{\lambda }}}$

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?