In a vacuum, an electromagnetic wave travels at the speed of light c. A monochromatic electromagnetic plane wave with angular frequency ω has electric field
Here e is a unit vector in the direction of the wave’s travel and r = (x,y,z). Further, a and b are perpendicular to e. The magnetic field is given by B = e × E/c. Then E and B satisfy Maxwell’s equations in a vacuum and also satisfy the wave equation.