Mueller calculus
E620786
Mueller calculus is a mathematical framework in polarization optics that uses matrix operations to describe how optical elements transform the Stokes parameters of light.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Mueller calculus canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T6788425 — 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 calculus Context triple: [Stokes parameters, relatedTo, Mueller calculus]
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A.
Lezioni di calcolo differenziale assoluto
"Lezioni di calcolo differenziale assoluto" is a foundational mathematical text by Tullio Levi-Civita that systematically develops the theory of absolute differential calculus, now known as tensor calculus, with applications to geometry and physics.
-
B.
Moyal product
The Moyal product is a noncommutative star product used in deformation quantization to encode quantum mechanical operator multiplication directly on phase-space functions.
-
C.
Moyal bracket
The Moyal bracket is a mathematical operation in phase-space quantum mechanics that generalizes the classical Poisson bracket to describe quantum corrections in the evolution of quasiprobability distributions.
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D.
Leibniz rule
The Leibniz rule is a fundamental property of derivatives stating that the derivative of a product equals the sum of each factor’s derivative times the other factor.
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E.
Méthodes de calcul différentiel absolu et leurs applications
Méthodes de calcul différentiel absolu et leurs applications is a foundational mathematical work that systematically develops the theory of tensor calculus and its applications, laying groundwork later used in general relativity.
- 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 calculus Target entity description: Mueller calculus is a mathematical framework in polarization optics that uses matrix operations to describe how optical elements transform the Stokes parameters of light.
-
A.
Lezioni di calcolo differenziale assoluto
"Lezioni di calcolo differenziale assoluto" is a foundational mathematical text by Tullio Levi-Civita that systematically develops the theory of absolute differential calculus, now known as tensor calculus, with applications to geometry and physics.
-
B.
Moyal product
The Moyal product is a noncommutative star product used in deformation quantization to encode quantum mechanical operator multiplication directly on phase-space functions.
-
C.
Moyal bracket
The Moyal bracket is a mathematical operation in phase-space quantum mechanics that generalizes the classical Poisson bracket to describe quantum corrections in the evolution of quasiprobability distributions.
-
D.
Leibniz rule
The Leibniz rule is a fundamental property of derivatives stating that the derivative of a product equals the sum of each factor’s derivative times the other factor.
-
E.
Méthodes de calcul différentiel absolu et leurs applications
Méthodes de calcul différentiel absolu et leurs applications is a foundational mathematical work that systematically develops the theory of tensor calculus and its applications, laying groundwork later used in general relativity.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
mathematical formalism
ⓘ
polarization optics formalism ⓘ |
| advantageOverJonesCalculus |
can handle depolarization
ⓘ
can handle incoherent superposition of states ⓘ |
| appliesTo |
fully polarized light
ⓘ
partially polarized light ⓘ unpolarized light ⓘ |
| assumes | linear response of optical system ⓘ |
| basedOn | Stokes parameters ⓘ |
| canBeExtendedTo |
spatially varying Mueller matrices
ⓘ
wavelength-dependent Mueller matrices ⓘ |
| canDescribe |
birefringent materials
ⓘ
dichroic materials ⓘ optical rotators ⓘ polarizers ⓘ retarders ⓘ scattering media ⓘ wave plates ⓘ |
| canModel |
depolarizing optical systems
ⓘ
nondepolarizing optical systems ⓘ |
| classificationOfSystems |
depolarizing Mueller matrices
ⓘ
nondepolarizing Mueller matrices ⓘ |
| describes | transformations of Stokes parameters ⓘ |
| differsFrom | Jones calculus ⓘ |
| dimensionOfMuellerMatrix | 4x4 ⓘ |
| field | polarization optics ⓘ |
| goal | predict polarization state after propagation through optical system ⓘ |
| inputQuantity |
Stokes vector
ⓘ
linked to:
Stokes parameters
|
| mathematicalObject | Mueller matrix ⓘ |
| namedAfter | Hans Mueller ⓘ |
| originatedIn | 20th century ⓘ |
| outputQuantity |
Stokes vector
ⓘ
linked to:
Stokes parameters
|
| relatedConcept |
Poincaré sphere
ⓘ
coherency matrix ⓘ |
| relatedTo | Jones calculus ⓘ |
| represents | optical elements as 4x4 matrices ⓘ |
| supportsOperation | concatenation of optical elements via matrix multiplication ⓘ |
| transformationLaw | S_out = M · S_in ⓘ |
| typicalOperation | postmultiplication of Stokes vector by Mueller matrix ⓘ |
| usedIn |
biomedical optics
ⓘ
ellipsometry ⓘ material characterization ⓘ optical metrology ⓘ remote sensing ⓘ scattering polarimetry ⓘ |
| uses | matrix operations ⓘ |
| usesCoordinateSystem | Stokes space ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Mueller calculus Description of subject: Mueller calculus is a mathematical framework in polarization optics that uses matrix operations to describe how optical elements transform the Stokes parameters of light.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.