1.

Find the value θn at which null occurs for an 8-element broadside array with spacing d.(a) \(cos^{-1}⁡\frac{λn}{Nd}\)(b) \(sin^{-1}⁡\frac{λn}{Nd}\)(c) \(cos^{-1}⁡\frac{2λn}{Nd}\)(d) \(sin^{-1}⁡\frac{2λn}{Nd}\)This question was posed to me in class test.I'm obligated to ask this question of Broadside Array topic in division Antenna Array of Antennas

Answer»

Correct option is (a) \(cos^{-1}⁡\FRAC{λn}{Nd}\)

Easiest explanation: Nulls OCCURS when array factor \(AF=\frac{sin \frac{Nφ}{2}}{\frac{Nφ}{2}} = 0\)

⇨ \(sin\frac{Nφ}{2} = 0=>\frac{Nφ}{2}=±nπ \,and\, φ=kdcosθ+β=kdcosθ_n=\frac{2π}{λ} dcosθ_n\)

NULL occurs at \(θ_n=cos^{-1}⁡\frac{λn}{Nd}\)



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