quantity

polarization degree

polarization degree — from formula anatomy
12 related articles · 2 formulas

Description

The 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.

History

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.

How it works

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).

In practice

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.

Fun fact

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.

Concept graph →

Formulas

$$p_m = p_0 \, \exp(-2 \sigma_{\rm RM}^2 \lambda^4)$$
Polarization degree decays exponentially with wavelength due to Faraday rotation dispersion.
What is in the formula
p_mvariableobserved polarization degree — polarization degree
p_0variableintrinsic polarization degree (without Faraday effects) — polarization degree
σ_RMvariabledispersion of rotation measure along the line of sight — rotation measure dispersion radian per square metre
λvariablewavelength of radiation — wavelength metre
expoperatorexponential function — exponential
$$P = \frac{\sqrt{Q^2 + U^2}}{I}$$
Measure of linearly polarized intensity relative to total intensity.
What is in the formula
PvariableDegree of linear polarization — polarization degree
QvariableStokes parameter Q (linear polarization) — stokes parameter watt per square metre
UvariableStokes parameter U (linear polarization) — stokes parameter watt per square metre
IvariableTotal intensity (Stokes I) — intensity watt per square metre
√operatorTakes the square root of the sum of squares — square root
/operatorDivides the polarized magnitude by total intensity — division

Related articles · 12

HEP Theory2026-08-042 minarXiv:2608.03864express
Cosmic String Without a Singularity
The universe sometimes resembles an old fabric: after rapid cooling, wrinkles could have remained — thin, almost invisible threads of monstrous density. They are called cosmic strings. Usually, at the center of such a string hides a singularity — a point where the laws of physics lose their meaning.
Optics2026-04-281 minarXiv:2604.25475express
A Mirror That Doesn't Mess with Light
Light, like a shaken rope, oscillates in a specific plane. Astronomers and engineers often rotate images using a three-mirror system, the so-called K-mirror, but this inadvertently rotates the plane of oscillation as well. For precise measurements, that's a problem.
High Energy2026-04-242 minarXiv:2604.22914express
A Lighthouse Painting with Light
Deep in space, a rapidly spinning neutron star, a pulsar nicknamed the Lighthouse, speeds through tenuous gas. Like a motorboat cutting through water, it leaves a glowing trail of charged particles behind. In X-rays, this trail appears as a bright tail and a thin filament stretching over many light-years.
Materials2026-04-181 minarXiv:2604.16934express
How Strain Changes Light
Light from thin semiconductor layers can be polarized: its waves oscillate in a single plane. Previously, it was thought that the direction of oscillation was set by how the sample was illuminated.
Exoplanets2026-04-061 minarXiv:2604.05122express
Dust Grains Like Shuttlecocks: How Patterns Emerge in Protoplanetary Disks
Around young stars, disks of gas and dust swirl — the building blocks for future planets. Inside these disks, dust grains don't just fly randomly: they align along invisible lines of gas flow. Recently, astronomers noticed that dust grains in such disks behave like badminton shuttlecocks — always turning their long side into the wind.
Optics2026-03-082 minarXiv:2603.07735express
Light Finds the Point Where Scattering Blows Up
Two tiny emitters, each about the size of an atom, can together do what neither can do alone. We're talking about light scattering — when light hits particles and bounces off in all directions. Usually, a pair of particles scatters light only slightly more than a single one.
Stellar2026-02-182 minarXiv:2602.16519express
Dust, Light, and Invisible Lines
In the dark cloud L43, where stars are born, dust grains twirl like tiny compasses. Light from a young star pushes them, while the magnetic field lines them up in a specific direction. When a grain is turned sideways to us, its heat reaches us polarized, like light passing through a narrow slit.
Instrumentation2026-02-032 minarXiv:2602.03233express
Light That Gives Itself Away
Light from a star is not just a stream but a wave that can oscillate in different directions. Ordinary light is like a crowd where everyone waves their arms randomly. But after reflecting off dust grains or passing through a magnetic field, some waves align in a single line, like soldiers in a row.
Mesoscale2026-01-301 minarXiv:2601.22719express
Light Vortices Stir Up Turbulence
In a container the size of a coin, light behaves like water: it gathers into a single quantum fluid. When energy is added, whirlpools, quantum vortices, spin up on their own. Each vortex is like a tiny whirlpool that cannot simply disappear. Physicists illuminated this fluid with a laser and took snapshots.
Quantum Physics2026-01-161 minarXiv:2601.11753express
Quantum Link Through 62 Kilometers of Air
Two photons, like two halves of the same coin, fly tens of kilometers apart but remain linked: measure one, and you instantly know the state of the other. This property is called entanglement, and it underpins quantum communication.
General Relativity2025-11-271 minarXiv:2511.22276express
How a Black Hole Splits Light by Polarization
A black hole doesn't just suck in matter — like a giant cosmic whirlpool, it warps the very fabric of reality and bends light rays around itself, focusing them. The effect is even stronger for black holes that spin at nearly the speed of light: their rotation twists space into a tight spiral.
Cosmology2025-09-172 minarXiv:2509.13654
The Universe's Hall of Mirrors: Light That Twists
The ACT telescope in Chile's Atacama Desert stared at the sky from 2007 to 2022. Its target: the cosmic microwave background, light that has been traveling toward us for 13.8 billion years. This light is polarized: its waves oscillate in specific planes, like strings stretched in different directions.