method

astrophysical polarimetry

Measuring polarization of light from cosmic sources to study magnetic fields and emission mechanisms.
39 related articles · 4 formulas

Description

Astrophysical polarimetry is the measurement and interpretation of the polarization of light coming from celestial objects. Unlike a simple intensity or spectrum, polarization carries information about the geometry and physical conditions of the source: the orientation of magnetic fields, the shape and alignment of dust grains, and the processes that generate the light itself. By analyzing how the electric field of light waves is oriented, astronomers can probe environments that are otherwise invisible, from the magnetic fields around black holes to the turbulent regions where stars are born.

History

The first astronomical polarimetric observations were made in the early 20th century, but the field grew significantly in the 1940s–1950s when the polarization of starlight was discovered and linked to interstellar dust. Modern high-precision polarimetry became a standard tool with the advent of CCD cameras and space telescopes.

How it works

Light becomes polarized when it interacts with matter or magnetic fields in a way that favors certain orientations of the electric field. For example, scattering by electrons or dust grains, or emission from charged particles spiraling in magnetic fields (synchrotron radiation), produces characteristic polarization patterns. Instruments called polarimeters, often mounted on telescopes, measure the fraction of light polarized and its position angle. Comparing these measurements across wavelengths and over time reveals the structure of magnetic fields and the distribution of scattering material along the line of sight.

In practice

Polarimetry is used to map magnetic fields in the solar corona, study the geometry of supernova explosions, and characterize the atmospheres of exoplanets. It is also a key technique in cosmic microwave background research, where the polarization pattern encodes the early universe's history.

Fun fact

The polarization of light from a gamma-ray burst can reveal whether the burst's magnetic field is ordered or chaotic, providing a direct probe of the most extreme accelerators in the universe.

Concept graph →

Formulas

$$\cos(\theta) = \frac{\mathbf{A} \cdot \mathbf{B}}{\|\mathbf{A}\| \|\mathbf{B}\|}$$
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
$$\rho_{\rm GJ} = -\frac{\mathbf{\Omega} \cdot \mathbf{B}}{2\pi c}$$
Charge density required to screen electric field in pulsar magnetosphere.
What is in the formula
\rho_{\rm GJ}variableGoldreich-Julian charge density — charge density coulomb per cubic metre
\mathbf{\Omega}variableAngular velocity vector of the neutron star — angular velocity radian per second
\mathbf{B}variableMagnetic field vector — magnetic field tesla
cconstantUniversal constant, speed of light in vacuum — speed of light = 299792458 metre per second
2\piconstantMathematical constant, 2π — two pi = 6.283
\cdotoperatorScalar product of two vectors — dot product
ρ_{\rmgj}=-\frac{{ω}*{b}}{2πc} · 2606.03984v1
$$\text{RM} = \frac{e^3}{2\pi m_e^2 c^4} \int n_e B_\parallel \, dl$$
Rotation measure is proportional to the integral of electron density times parallel magnetic field along the line of sight.
What is in the formula
n_evariableelectron number density — electron number density per cubic metre
B_parallelvariablemagnetic field component along line of sight — magnetic flux density tesla
dlvariableinfinitesimal path element along line of sight metre
econstantelementary charge — elementary charge = 1.602176634e-19 coulomb
m_econstantelectron rest mass — electron mass = 9.1093837015e-31 kilogram
cconstantspeed of light in vacuum — speed of light = 299792458 metre per second
∫operatorsummation over the line of sight — integral operator
{rm}=0.81\intn_eb_\paralleldl · 2606.22354
$$\mathrm{RM} = \frac{e^3}{2\pi m_e^2 c^4} \int_0^L n_e(s) B_\parallel(s) \, ds$$
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

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