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**Unformatted text preview: **direction. a. The far-ﬁeld electric ﬁeld is ~ E( ~ r) = j η I 2 πr e jkr cos ( π 2 cos θ ) sin θ £ e jkh cos θ + e-jkh cos θ / ˆ θ = j η I πr e jkr cos ( π 2 cos θ ) sin θ cos( kh cos θ ) ˆ θ b. Plugging in h = λ/ 2: ~ E( r,θ,φ ) = j η I πr e jkr cos ( π 2 cos θ ) sin θ cos( π cos θ ) ˆ θ p ( θ,φ ) ∼ cos 2 ( π 2 cos θ ) sin 2 θ cos 2 ( π cos θ ) Note that there is no radiation for θ > 90 ◦ , i.e., everything is reﬂected upward. CORNELL UNIVERSITY c ± WES SWARTZ (09/11/7) 12–1...

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