An antenna with a circular aperture has a circular beam with a beam width of 3 =at

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An antenna with a circular aperture has a circular beam with a beam width of 3 =at 20 GHz.
(a) What is the antenna directivity in dB?
(b) If the antenna area is doubled, what would be the new directivity and new beam width?
(c) If the aperture is kept the same as in (a), but the frequency is doubled to 40 GHz, what would the directivity and beam width become then?
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