Mueller matrix

E620787

4×4 matrix mathematical object optical system descriptor polarization matrix

The Mueller matrix is a 4×4 matrix that characterizes how an optical system transforms the polarization state of light, represented by Stokes parameters.

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All labels observed (3)

Label	Occurrences
Mueller matrices	1
Mueller matrix canonical	1
Stokes–Mueller formalism	1

How this entity was disambiguated

This entity first appeared as the object of triple T6788426 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07

Target entity: Mueller matrix
Context triple: [Stokes parameters, relatedTo, Mueller matrix]

A. Stokes parameters
Stokes parameters are a set of values that quantitatively describe the polarization state of electromagnetic radiation, widely used in optics and remote sensing.
B. Fourier optics
Fourier optics is a branch of optics that uses Fourier transform methods to analyze and design optical systems, particularly the propagation and diffraction of light waves.
C. Kramers–Kronig relations
The Kramers–Kronig relations are fundamental mathematical formulas in physics that connect the real and imaginary parts of a complex response function, expressing how causality constrains the frequency-dependent behavior of physical systems.
D. Bloch equations
The Bloch equations are a set of differential equations in nuclear magnetic resonance and quantum mechanics that describe the time evolution of nuclear magnetization in an external magnetic field.
E. Fresnel equations
The Fresnel equations are fundamental formulas in optics that describe how light is partially reflected and transmitted at the boundary between two media with different refractive indices, depending on polarization and angle of incidence.
F. None of above. chosen
G. Unsure - the case is ambiguous/there is not enough information to decide.

NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07

Target entity: Mueller matrix
Target entity description: The Mueller matrix is a 4×4 matrix that characterizes how an optical system transforms the polarization state of light, represented by Stokes parameters.

A. Stokes parameters
Stokes parameters are a set of values that quantitatively describe the polarization state of electromagnetic radiation, widely used in optics and remote sensing.
B. Fourier optics
Fourier optics is a branch of optics that uses Fourier transform methods to analyze and design optical systems, particularly the propagation and diffraction of light waves.
C. Kramers–Kronig relations
The Kramers–Kronig relations are fundamental mathematical formulas in physics that connect the real and imaginary parts of a complex response function, expressing how causality constrains the frequency-dependent behavior of physical systems.
D. Bloch equations
The Bloch equations are a set of differential equations in nuclear magnetic resonance and quantum mechanics that describe the time evolution of nuclear magnetization in an external magnetic field.
E. Fresnel equations
The Fresnel equations are fundamental formulas in optics that describe how light is partially reflected and transmitted at the boundary between two media with different refractive indices, depending on polarization and angle of incidence.
F. None of above. chosen

Statements (47)

Predicate	Object
instanceOf	4×4 matrix ⓘ mathematical object ⓘ optical system descriptor ⓘ polarization matrix ⓘ
actsOn	Stokes vector ⓘ
advantage	can handle depolarization ⓘ can handle partially polarized light ⓘ
associatedWith	Mueller calculus ⓘ Stokes–Mueller formalism ⓘ linked to: Mueller matrix
belongsTo	classical polarization theory ⓘ
canDescribe	depolarizing optical systems ⓘ nondepolarizing optical systems ⓘ optical components ⓘ polarizers ⓘ retarders ⓘ scattering media ⓘ
characterizes	how an optical system transforms the polarization state of light ⓘ polarization properties of an optical system ⓘ
contrastsWith	Jones calculus ⓘ
elementConstraint	must preserve physical realizability of Stokes vectors ⓘ
firstRowRepresents	intensity transformation ⓘ
hasApplication	atmospheric optics ⓘ material science ⓘ optical metrology ⓘ radar polarimetry ⓘ
hasDimension	4×4 ⓘ
hasElementType	real number ⓘ
inputRepresentation	Stokes parameters ⓘ
mapsFrom	incident Stokes vector ⓘ
mapsTo	emergent Stokes vector ⓘ
namedAfter	Hans Mueller ⓘ
outputRepresentation	Stokes parameters ⓘ
relatedTo	Jones matrix ⓘ
representsTransformationOf	Stokes parameters ⓘ
requires	Stokes formalism ⓘ linked to: Stokes parameters
submatrixRepresents	coupling between polarization components ⓘ
usedFor	characterization of biological tissues ⓘ characterization of optical materials ⓘ characterization of surface roughness ⓘ design of polarization optical systems ⓘ polarimetric imaging ⓘ polarimetric measurements ⓘ
usedIn	biomedical optics ⓘ ellipsometry ⓘ optical engineering ⓘ polarization optics ⓘ remote sensing ⓘ

How these facts were elicited

Referenced by (3)

Full triples — surface form annotated when it differs from this entity's canonical label.

Stokes parameters → relatedTo → Mueller matrix ⓘ

Mueller matrix → associatedWith → Stokes–Mueller formalism ⓘ

linked to: Mueller matrix

Introduction to the Theory of Coherence and Polarization of Light → mainSubject → Mueller matrices ⓘ