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,
- A.Linear, Circular (clockwise),
- B.Circular (clockwise), Linear,
- C.Circular (clockwise), Linear,
- D.Circular (anti clockwise), Linear,
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Correct answer
(C;D)
Solution
1.Polarization of the incident wave:
. The wave propagates in the direction. At , the field is . In the time domain, . Looking in the direction of propagation (), the vector rotates from to , which is clockwise. Thus, it is Circular (clockwise).2.Polarization of the antenna:
. The and components are in phase (both have real coefficients). Therefore, the polarization is Linear.3.Polarization Loss Factor (PLF):
The unit polarization vectors are and .Loss in dB .Due to different conventions for 'clockwise' vs 'anti-clockwise' (looking towards or away from the source), both (C) and (D) were accepted.
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