maxwell discovered that light is an electromagnetic wave.
maxwell discovered that light is an electromagnetic wave.
who discovered that light is an electromagnetic wave?
maxwell
inhomogeneous electromagnetic wave equation









































in electromagnetism and applications, an inhomogeneous electromagnetic wave equation, or nonhomogeneous electromagnetic wave equation, is one of a set of wave equations describing the propagation of electromagnetic waves generated by nonzero source charges and currents. the source terms in the wave equations makes the partial differential equations "inhomogeneous", if the source terms are zero the equations reduce to the homogeneous electromagnetic wave equations. the equations follow from maxwell's equations.









































section::::maxwell's equations.
inhomogeneous electromagnetic wave equation
where is the wavenumber and is the wavelength. the variable can only be used in this equation when the electromagnetic wave is in a vacuum.









































section::::solutions to the homogeneous electromagnetic wave equation.:monochromatic, sinusoidal steady-state.









































the simplest set of solutions to the wave equation result from assuming sinusoidal waveforms of a single frequency in separable form:









































where









































section::::solutions to the homogeneous electromagnetic wave equation.:plane wave solutions.









































consider a plane defined by a unit normal vector









































then planar traveling wave solutions of the wave equations are









































where is the position vector (in meters).
electromagnetic wave equation