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The electric field of an electomagnetic wave propagating in the positive $z$-direction is given by $$ \left.\text{E}=\hat{a_x} \sin (\omega t-\beta z\right)+\hat{a_y} \sin \left(\omega t-\beta z+\frac{\pi}{2}\right) $$ The wave is

  1. linearly polarized in the $z$-direction
  2. elliptically polarized
  3. left-hand circularly polarized
  4. right-hand circularly polarized
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