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The electric field of a monochromatic plane wave travelling in a lossless isotropic and homogenous medium is given by

\[
\vec{E}(z, t)=E_{0}[\hat{x} \cos (\omega t-k z)+\hat{y} \sin (\omega t-k z)]
\]
in a right-handed orthogonal co-ordinate system.

Which of the following is the correct polarization of the electromagnetic wave?

  1. Right-handed circularly polarized
  2. Left-handed circularly polarized
  3. Linearly polarized
  4. Linearly polarized with $-45^{\circ}$ angle to $\hat{x}$

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