Mathematical Description of Elliptical Polarization
The classical sinusoidal plane wave solution of the electromagnetic wave equation for the electric and magnetic fields is (cgs units)
for the magnetic field, where k is the wavenumber,
is the angular frequency of the wave, and is the speed of light.
Here is the amplitude of the field and
is the Jones vector in the x-y plane. The axes of the ellipse have lengths and . If and are equal the wave is linearly polarized. If they differ by the wave is circularly polarized.
Read more about this topic: Elliptical Polarization
Famous quotes containing the words mathematical and/or description:
“What he loved so much in the plant morphological structure of the tree was that given a fixed mathematical basis, the final evolution was so incalculable.”
—D.H. (David Herbert)
“Whose are the truly labored sentences? From the weak and flimsy periods of the politician and literary man, we are glad to turn even to the description of work, the simple record of the months labor in the farmers almanac, to restore our tone and spirits.”
—Henry David Thoreau (18171862)