# Illustration Linearly Polarized Plane Wave (E-Field)

Get illustration

Share — copy and redistribute the material in any medium or format

Adapt — remix, transform, and build upon the material for any purpose, even commercially.

Sharing and adapting of the illustration is allowed with indication of the link to the illustration.

The E-field of a linearly polarized electromagnetic wave propagating in the $$z$$ direction is:$$\boldsymbol{E} ~=~ \boldsymbol{E}_0 \, \cos(\omega \, t - k\,z)$$where $$\boldsymbol{E}_0 = (E_{0 \text x}, E_{0 \text y}, 0)$$ is the amplitude. $$\omega$$ is the angular frequency, $$t$$ time, $$k$$ wavenumber and $$z$$ spatial coordinate as a propagation direction.

The electric field $$\boldsymbol{E}$$ oscillates in a plane (here $$x$$-$$y$$-plane) for a linearly polarized wave and the components of the E-field have no phase shift.