Elliptical polarization

You don't need to be Editor-In-Chief to add or edit content to WikiDoc. You can begin to add to or edit text on this WikiDoc page by clicking on the edit button at the top of this page. Next enter or edit the information that you would like to appear here. Once you are done editing, scroll down and click the Save page button at the bottom of the page.

In electrodynamics, elliptical polarization is the polarization of electromagnetic radiation such that the tip of the electric field vector describes an ellipse in any fixed plane intersecting, and normal to, the direction of propagation. An elliptically polarized wave may be resolved into two linearly polarized waves in phase quadrature with their polarization planes at right angles to each other.

Other forms of polarization, such as circular and linear polarization, can be considered to be special cases of elliptical polarization.

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 c is the speed of light.

Here

is the amplitude of the field and

is the Jones vector in the x-y plane. Here θ is an angle that determines the tilt of the ellipse and α_x − α_y determines the aspect ratio of the ellipse. If α_x and α_y are equal the wave is linearly polarized. If they differ by they are circularly polarized.

See also

• Polarization of classical electromagnetic waves