Q2 You are an antenna engineer and you are asked to design a high directivity/gain antenna for a space-borne communication system operating at 10 GHz. The specifications of the antenna are such that its pattern consists basically of one major lobe and, for simplicity, no minor lobes (if there are any minor lobes they are of such very low intensity and you can assume they are negligible/zero). Also it is desired that the pattern is symmetrical in the azimuthal plane. In order to meet the desired objectives, the main lobe of the pattern should have a half-power beamwidth of 10 degrees. In order to expedite the design, it is assumed that the major lobe of the normalized radiation intensity of the antenna is

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Q2 You are an antenna engineer and you are asked to design a
high directivity/gain antenna for a space-borne communication
system operating at 10 GHz. The specifications of the antenna are
such that its pattern consists basically of one major lobe and, for
simplicity, no minor lobes (if there are any minor lobes they are of
such very low intensity and you can assume they are
negligible/zero). Also it is desired that the pattern is symmetrical
in the azimuthal plane. In order to meet the desired objectives, the
main lobe of the pattern should have a half-power beamwidth of
10 degrees. In order to expedite the design, it is assumed that the
major lobe of the normalized radiation intensity of the antenna is
approximated by
U (0, p) = cos" (0)
And it exists only in the upper hemisphere (0 ≤ 0 ≤+2,0≤p≤
2л). Determine the:
(a) Value of n (not necessarily an integer) to meet the
specifications of the major lobe. Keep 5 significant figures in
your calculations.
(b) Exact maximum directivity of the antenna (dimensionless
and in dB).
Transcribed Image Text:Q2 You are an antenna engineer and you are asked to design a high directivity/gain antenna for a space-borne communication system operating at 10 GHz. The specifications of the antenna are such that its pattern consists basically of one major lobe and, for simplicity, no minor lobes (if there are any minor lobes they are of such very low intensity and you can assume they are negligible/zero). Also it is desired that the pattern is symmetrical in the azimuthal plane. In order to meet the desired objectives, the main lobe of the pattern should have a half-power beamwidth of 10 degrees. In order to expedite the design, it is assumed that the major lobe of the normalized radiation intensity of the antenna is approximated by U (0, p) = cos" (0) And it exists only in the upper hemisphere (0 ≤ 0 ≤+2,0≤p≤ 2л). Determine the: (a) Value of n (not necessarily an integer) to meet the specifications of the major lobe. Keep 5 significant figures in your calculations. (b) Exact maximum directivity of the antenna (dimensionless and in dB).
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