Sinusoidal Plane-wave Solutions of The Electromagnetic Wave Equation - Plane Waves

Plane Waves

The plane sinusoidal solution for an electromagnetic wave traveling in the z direction is (cgs units and SI units)

for the electric field and

for the magnetic field, where k is the wavenumber,

is the angular frequency of the wave, and is the speed of light. The hats on the vectors indicate unit vectors in the x, y, and z directions.

The plane wave is parameterized by the amplitudes

and phases

where

.

and

.

Read more about this topic:  Sinusoidal Plane-wave Solutions Of The Electromagnetic Wave Equation

Famous quotes containing the words plane and/or waves:

    In time the scouring of wind and rain will wear down the ranges and plane off the region until it has the drab monotony of the older deserts. In the meantime—a two-million-year meantime—travelers may enjoy the cruel beauties of a desert in its youth,....
    —For the State of California, U.S. public relief program (1935-1943)

    Your eyes have pardoned our faults,
    your hands have touched us
    you have leaned forward a little
    and the waves can never thrust us back
    from the splendour of your ragged coast.
    Hilda Doolittle (1886–1961)