GATE EC 2016 Set 1 — Question 64
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Electromagnetics → Antennas → Polarization (Linear, Circular, Elliptical)
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Question
The electric field of a uniform plane wave travelling along the negative direction is given by the following equation:This wave is incident upon a receiving antenna placed at the origin and whose radiated electric field towards the incident wave is given by the following equation:The polarization of the incident wave, the polarization of the antenna and losses due to the polarization mismatch are, respectively,
Solution
Incident wave. travels along . Its and components have equal amplitude and a phase difference, so the wave is circularly polarized. At the instantaneous field iswhich turns from to . Viewed along the direction of propagation (looking from towards ) this is a clockwise rotation; viewed facing the oncoming wave it appears anti-clockwise. Because the sense depends on this convention, both readings are accepted.Antenna. has in-phase components, so the antenna is linearly polarized.Polarization loss factor.i.e. dB (a circularly polarized wave always loses half its power into a linearly polarized antenna).
- (A) is wrong: the wave is circular and the antenna linear, and the loss is dB.
- (B) is wrong: the loss is dB, not dB.
- (C) and (D) both give circular / linear / dB; they differ only in the viewing convention for the sense of rotation, so either is accepted.
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