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What is the polarization loss factor due to mismatch if the two linear polarized antennas are rotated by an angle ∅?

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What is the polarization loss factor due to mismatch if the two linear polarized antennas are rotated by an angle ∅?

(a) tan⁡∅

(b) cos⁡∅

(c) cos^2∅

(d) cos^-1⁡∅

The question was posed to me during an interview.

My query is from Polarization Mismatch topic in division Radiation, Baluns & Polarization of Antennas

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The correct choice is (c) cos^2∅

Explanation: The polarization loss factor describes the power loss due to polarization mismatch. The polarization loss factor due to mismatch if the two linear polarized antennas are rotated by an angle ∅ is given by PLF =cos^2∅.

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