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The necessary condition for the direction of maximum side lobe level of the N-element isotropic array is _______(a) \(ᴪ=±\frac{2s+1}{N} π \)(b) \(ᴪ=±\frac{2s+2}{N} π\)(c) \(ᴪ=±\frac{2s}{N} π\)(d) \(ᴪ=±\frac{2(s+1)}{N} π\)This question was addressed to me in an interview.My question is from Array of N-Isotropic Sources topic in chapter Antenna Array of Antennas

Answer»

Right choice is (a) \(ᴪ=±\frac{2s+1}{N} π \)

The explanation: The SECONDARY MAXIMA occur when the NUMERATOR of the array factor equals to 1.

⇨ \(SIN(\frac{Nᴪ}{2})=±1\)

⇨ \(\frac{Nᴪ}{2}=±\frac{2s+1}{2} π \)

⇨ \(ᴪ=±\frac{2s+1}{N} π .\)



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