# Illustration Circularly Polarized Plane Wave (E-Field)

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The E-field of a right-circularly polarized electromagnetic wave propagating in the $$z$$ direction:$$\boldsymbol{E} ~=~ E_0 \, \begin{bmatrix} \sin(\omega \, t - k\,z) \\ \cos(\omega \, t - k\,z) \\ 0 \end{bmatrix}$$where $$E_0$$ is the amplitude of the E-field. $$\omega$$ is the angular frequency, $$t$$ time, $$k$$ wavenumber and $$z$$ spatial coordinate.

The electric field $$\boldsymbol{E}$$ has only one $$E_{\text x}$$ and $$E_{\text y}$$ component for a circularly polarized wave. And the phase shift between $$E_{\text x}$$ and $$E_{\text y}$$ is $$\pm \pi/2$$.