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The electric field of a plane electromagnetic wave is

$\boldsymbol{E}=\boldsymbol{a}_{x} C_{1 x} \cos (\omega t-\beta z)+\boldsymbol{a}_{y} C_{1 y} \cos (\omega t-\beta z+\theta) \quad \mathrm{V} / \mathrm{m}$.

Which of the following combination(s) will give rise to a left handed elliptically polarized $\text{(LHEP)}$ wave?

  1. $C_{1 x}=1, C_{1 y}=1, \theta=\pi / 4$
  2. $C_{1 x}=2, C_{1 y}=1, \theta=\pi / 2$
  3. $C_{1 x}=1, C_{1 y}=2, \theta=3 \pi / 2$
  4. $C_{1 x}=2, C_{1 y}=1, \theta=3 \pi / 4$
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