Electromagnetic wave

A transverse wave composed of an oscillating electrical field and a magnetic field that oscillates perpendicular to the electric field.

Electromagnetic waves was predicted by the classical laws of electricity and magnetism, known as Maxwell's equations:

<math>\nabla \cdot \mathbf{E} = 0 \qquad \qquad \qquad \ \ (1)</math>

<math>\nabla \times \mathbf{E} = -\frac{\partial}{\partial t} \mathbf{B} \qquad \qquad (2)</math>

<math>\nabla \cdot \mathbf{B} = 0 \qquad \qquad \qquad \ \ (3)</math>

<math>\nabla \times \mathbf{B} = \mu_0 \epsilon_0 \frac{\partial}{\partial t} \mathbf{E} \qquad \ \ \ (4)</math>

where <math>\nabla</math> is a vector differential operator

Maxwell's equations is an example of a system of partial differential equations.