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Plane wave form of Electromagnatic wave

The Plane wave form of Electromagnetic wave is

\(\begin{array}{rl}\vec{E}&=&E_{0}\exp[i(kz-\omega t)]\cdot\hat{x}\\\vec{B}&=&B_{0}\exp[i(kz-\omega t)]\cdot\hat{y}\end{array}\)

where
- \(E_{0}\) is the amplitude of the electric field.
- \(B_{0}\) is the amplitude of the magnetic field.

- We also have \(B_{0}=\frac{k}{\omega}E_{0}=\frac{1}{c}E_{0}=\sqrt{\mu_{0}\varepsilon_{0}}E_{0}\)
- \(k\) is the wave number, or wave vector, representing the propagation direction.
- \(\omega\) is the angular frequency.
- \(\hat{x},\hat{y}\) is the polarization vector, representing the polarization direction.

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