method

polarimetry

Polarimetry is a method for measuring the polarization state of light, used in astronomy and remote sensing.
53 related articles · 4 formulas · 6 who worked here

Description

Polarimetry is a technique for measuring the polarization state of electromagnetic radiation. Light with a preferred orientation of the electric field is called polarized. The degree of polarization (from 0 to 1) and the angle of orientation provide information about the radiation sources and the propagation medium. Linear polarization arises from scattering by fine dust, reflection; circular polarization arises when passing through a medium with optical activity or anisotropic magnetic fields. In astronomical observations, polarizers and modulators, often with an analyzer, are used to construct polarization maps.

History

Étienne Malus in 1808 described the phenomenon he called polarization, observing reflected light through a calcite crystal. David Brewster discovered the law of the angle of complete polarization upon reflection (1815). Augustin Fresnel and Dominique Arago investigated the interference of polarized light. James Clerk Maxwell in 1865, while formulating Maxwell's equations, theoretically described electromagnetic waves and included polarization as a vector property. William Lawrence Bragg developed X-ray polarimetry. In astronomy, pioneers were Bernard Lyot (inventor of the polarizing filter for the coronagraph) and William Hiltner, who detected interstellar polarization in 1949.

How it works

Light passes through an optical path with polarization elements: first, phase-sensitive modulators (e.g., Pockels cell or rotating half-wave plate) change the polarization state, then an analyzer (polarizer) transmits the component along its axis, and a photodetector records the signal. Modulation allows separating the Stokes parameters by phase. In radio astronomy, polarization is measured by correlating orthogonally polarized channels. The degree of polarization p = sqrt(Q^2+U^2+V^2)/I. Key effects: electron scattering (linear polarization), synchrotron radiation (polarization direction perpendicular to the magnetic field), Zeeman effect (circular polarization in spectral lines), reflection from a surface (Brewster's angle). The principle of superposition and statistical signal processing are at the core.

In practice

In industry, polarimetry determines sugar concentration in solutions (saccharimetry). In astronomy, it reveals dust in exoplanet atmospheres and magnetic fields of stars.

Fun fact

Some scarab beetles see circular polarization of the sky, which helps them navigate even when the Sun is hidden by clouds.

Concept graph →

Formulas

$$\text{DM} = \int_0^z n_e(z') \, \frac{c \, dz'}{H(z')}$$
Dispersion measure is the integral of electron density over redshift-dependent path length.
What is in the formula
n_e(z')variableelectron number density at redshift z' — electron number density per cubic metre
zvariablesource redshift — redshift
z'variableintegration variable redshift — redshift
cconstantspeed of light in vacuum — speed of light = 299792458 metre per second
∫operatorsummation over redshift from 0 to z — integral operator
\langledm_{\rmigm}\rangle=\frac{3ch_0ω_b}{8πgm_p}\int_0^z\frac{f_{\rmigm}(z')f_e(z')(1+z')}{\sqrt{ω_m(1+z')^3+ω_\lambda}}dz' · 2606.22390
$$\mathrm{RM} = \frac{e^3}{2\pi m_e^2 c^4} \int_0^L n_e(s) B_\parallel(s) \, ds$$
Rotation measure quantifies Faraday rotation in plasma.
What is in the formula
RMvariableRotation measure — rotation measure radian per metre squared
n_evariableElectron number density — number density per metre cubed
B_parallelvariableMagnetic field component along line of sight — magnetic field tesla
svariablePath length along line of sight — length metre
LvariableTotal path length through plasma — length metre
econstantCharge of a single electron — elementary charge = 1.602176634e-19 coulomb
m_econstantRest mass of an electron — electron mass = 9.1093837015e-31 kilogram
cconstantSpeed of light in vacuum — speed of light = 299792458 metre per second
∫operatorIntegration along the line of sight — integral operator
{rm}=0.812\int_0^ln_e(s)b_\parallel(s)ds\quad{[radm^{-2}]} · 2607.02665v1
rm=\frac{e^3}{2πm_e^2c^4}\int_0^dn_eb_{\parallel}dl · 2607.05289v1
$$\cos(\theta) = \frac{\mathbf{A} \cdot \mathbf{B}}{\|\mathbf{A}\| \|\mathbf{B}\|}$$
Measures the cosine of the angle between two vectors.
What is in the formula
\mathbf{A}variableFirst vector — vector
\mathbf{B}variableSecond vector — vector
\thetavariableAngle between vectors — angle radian
\cdotoperatorDot product of two vectors — dot product
\| \cdot \|operatorEuclidean norm (magnitude) of a vector — euclidean norm
a(x_i)=1-\max_{c_j\inb}\frac{x_i*c_j}{\|x_i\|\|c_j\|} · 2607.18136v3
$$P = \frac{\sqrt{Q^2 + U^2}}{I}$$
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
p=\frac{\sqrt{q^2+u^2}}{f} · 2607.16557v1

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