Jones calculus
E620785
Jones calculus is a mathematical formalism used in optics to represent and analyze the polarization state of light and its transformation by optical elements using complex vectors and matrices.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Jones calculus canonical | 5 |
How this entity was disambiguated
This entity first appeared as the object of triple T6788424 — 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: Jones calculus Context triple: [Stokes parameters, relatedTo, Jones calculus]
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A.
linear logic
Linear logic is a substructural logic introduced by Jean-Yves Girard that treats logical propositions as resources, carefully tracking their use to model state change, concurrency, and resource-sensitive computation.
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B.
Curry–Howard correspondence
The Curry–Howard correspondence is a foundational principle in logic and computer science that establishes a deep analogy between proofs and programs, and between logical propositions and types in programming languages.
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C.
Hilbert-style deductive systems
Hilbert-style deductive systems are axiomatic proof systems in mathematical logic that use a small set of axiom schemas and a few inference rules (typically including modus ponens) to derive theorems in formal theories such as Zermelo–Fraenkel set theory.
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D.
The Calculus of Computation
The Calculus of Computation is a textbook that introduces the mathematical foundations of verification, focusing on logic-based methods for specifying and proving properties of computational systems.
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E.
Brouwer–Heyting–Kolmogorov interpretation
The Brouwer–Heyting–Kolmogorov interpretation is a foundational explanation of intuitionistic logic that interprets logical connectives and proofs in terms of explicit constructions and algorithms rather than classical truth values.
- 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: Jones calculus Target entity description: Jones calculus is a mathematical formalism used in optics to represent and analyze the polarization state of light and its transformation by optical elements using complex vectors and matrices.
-
A.
linear logic
Linear logic is a substructural logic introduced by Jean-Yves Girard that treats logical propositions as resources, carefully tracking their use to model state change, concurrency, and resource-sensitive computation.
-
B.
Curry–Howard correspondence
The Curry–Howard correspondence is a foundational principle in logic and computer science that establishes a deep analogy between proofs and programs, and between logical propositions and types in programming languages.
-
C.
Hilbert-style deductive systems
Hilbert-style deductive systems are axiomatic proof systems in mathematical logic that use a small set of axiom schemas and a few inference rules (typically including modus ponens) to derive theorems in formal theories such as Zermelo–Fraenkel set theory.
-
D.
The Calculus of Computation
The Calculus of Computation is a textbook that introduces the mathematical foundations of verification, focusing on logic-based methods for specifying and proving properties of computational systems.
-
E.
Brouwer–Heyting–Kolmogorov interpretation
The Brouwer–Heyting–Kolmogorov interpretation is a foundational explanation of intuitionistic logic that interprets logical connectives and proofs in terms of explicit constructions and algorithms rather than classical truth values.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
mathematical formalism
ⓘ
polarization analysis method ⓘ |
| advantage |
compact matrix representation of polarization transformations
ⓘ
simple composition of multiple optical elements by matrix multiplication ⓘ |
| appliesTo | narrowband optical fields ⓘ |
| assumes |
coherent light
ⓘ
monochromatic light ⓘ |
| basedOn |
complex matrices
ⓘ
complex vectors ⓘ |
| canModel |
attenuation of polarization components
ⓘ
phase shifts between polarization components ⓘ |
| cannotDirectlyDescribe | partially polarized light ⓘ |
| cannotDirectlyDescribe | unpolarized light ⓘ |
| canRepresent |
birefringent media
ⓘ
linear polarizers ⓘ phase retarders ⓘ rotators ⓘ wave plates ⓘ |
| commonBasis |
horizontal and vertical polarization
ⓘ
left and right circular polarization ⓘ |
| coordinateBasis | orthogonal polarization basis ⓘ |
| describes |
amplitude of electric field components
ⓘ
phase of electric field components ⓘ |
| field |
optics
ⓘ
polarization optics ⓘ |
| introducedBy | R. Clark Jones ⓘ |
| limitation |
not suitable for depolarizing elements
ⓘ
requires full coherence of light ⓘ |
| mathematicalDomain | linear algebra ⓘ |
| operation | outputJonesVector = JonesMatrix × inputJonesVector ⓘ |
| relatedTo |
Mueller calculus
ⓘ
Stokes parameters ⓘ |
| represents | fully polarized light ⓘ |
| representsOpticalElementAs | Jones matrix ⓘ |
| representsPolarizationStateAs | Jones vector ⓘ |
| transformationProperty | unitary matrices represent lossless elements ⓘ |
| typicalJonesMatrixSize | 2x2 complex matrix ⓘ |
| typicalJonesVectorForm | [E_x, E_y]^T ⓘ |
| usedFor |
analyzing polarization transformations
ⓘ
representing polarization states of light ⓘ |
| usedIn |
design of polarization-sensitive optical systems
ⓘ
ellipsometry ⓘ fiber optics ⓘ laser optics ⓘ optical engineering ⓘ polarimetry ⓘ |
| usesNumberSystem | complex numbers ⓘ |
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: Jones calculus Description of subject: Jones calculus is a mathematical formalism used in optics to represent and analyze the polarization state of light and its transformation by optical elements using complex vectors and matrices.
Referenced by (5)
Full triples — surface form annotated when it differs from this entity's canonical label.