polarization degree — from formula anatomyThe polarization degree quantifies how much of a light wave's oscillation is aligned in a single direction rather than being randomly oriented. In natural light, such as sunlight, the electric field vibrates in all directions perpendicular to the direction of travel, so the polarization degree is zero. When light reflects off a surface, scatters through a medium, or passes through a polarizing filter, the vibrations can become partially aligned, giving a polarization degree between zero and one. A perfectly polarized beam, like that from a laser, has a degree of one.
The concept emerged in the 19th century as scientists like Augustin-Jean Fresnel and George Gabriel Stokes developed mathematical descriptions of polarized light. Stokes introduced the parameters that bear his name in 1852, providing a rigorous framework for quantifying polarization.
The polarization degree is defined as the ratio of the intensity of the polarized component to the total intensity of the light. Mathematically, it is often expressed using Stokes parameters: the degree is the ratio of the square root of the sum of the squares of the linear and circular polarization parameters to the total intensity. In practice, it is measured by rotating a polarizer in front of a detector and recording the maximum and minimum transmitted intensities; the degree is then (Imax - Imin) / (Imax + Imin).
Polarization degree is used in remote sensing to analyze atmospheric aerosols, in astronomy to study magnetic fields in interstellar clouds, and in materials science to characterize stress in transparent plastics.
The polarization degree of light from the sky is used by some insects, like bees, as a navigation aid, and it can be measured by a simple camera with a polarizing filter.
| p_m | variable | observed polarization degree — polarization degree |
| p_0 | variable | intrinsic polarization degree (without Faraday effects) — polarization degree |
| σ_RM | variable | dispersion of rotation measure along the line of sight — rotation measure dispersion radian per square metre |
| λ | variable | wavelength of radiation — wavelength metre |
| exp | operator | exponential function — exponential |
| P | variable | Degree of linear polarization — polarization degree |
| Q | variable | Stokes parameter Q (linear polarization) — stokes parameter watt per square metre |
| U | variable | Stokes parameter U (linear polarization) — stokes parameter watt per square metre |
| I | variable | Total intensity (Stokes I) — intensity watt per square metre |
| √ | operator | Takes the square root of the sum of squares — square root |
| / | operator | Divides the polarized magnitude by total intensity — division |







