Poincaré sphere
E620788
The Poincaré sphere is a geometric representation that maps all possible states of polarization of light onto points on the surface of a sphere.
All labels observed (4)
| Label | Occurrences |
|---|---|
| Poincaré sphere canonical | 2 |
| Bloch sphere | 1 |
| Bloch sphere in quantum mechanics | 1 |
| Bloch sphere representation | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T6788427 — 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: Poincaré sphere Context triple: [Stokes parameters, relatedTo, Poincaré sphere]
-
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.
Riemann sphere
The Riemann sphere is the complex plane plus a point at infinity, forming a one-dimensional complex manifold topologically equivalent to a sphere and used to study meromorphic functions and complex analysis.
-
C.
SPHERE
SPHERE is a high-contrast imaging instrument on the Very Large Telescope designed primarily for directly observing and characterizing exoplanets and circumstellar disks.
-
D.
Faraday effect
The Faraday effect is a magneto-optical phenomenon in which the polarization plane of light is rotated as it passes through a material under the influence of a magnetic field aligned with the direction of propagation.
-
E.
Fubini–Study form
The Fubini–Study form is the canonical Kähler form on complex projective space, encoding its standard Hermitian and symplectic geometry.
- 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: Poincaré sphere Target entity description: The Poincaré sphere is a geometric representation that maps all possible states of polarization of light onto points on the surface of a sphere.
-
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.
Riemann sphere
The Riemann sphere is the complex plane plus a point at infinity, forming a one-dimensional complex manifold topologically equivalent to a sphere and used to study meromorphic functions and complex analysis.
-
C.
SPHERE
SPHERE is a high-contrast imaging instrument on the Very Large Telescope designed primarily for directly observing and characterizing exoplanets and circumstellar disks.
-
D.
Faraday effect
The Faraday effect is a magneto-optical phenomenon in which the polarization plane of light is rotated as it passes through a material under the influence of a magnetic field aligned with the direction of propagation.
-
E.
Fubini–Study form
The Fubini–Study form is the canonical Kähler form on complex projective space, encoding its standard Hermitian and symplectic geometry.
- F. None of above. chosen
Statements (50)
| Predicate | Object |
|---|---|
| instanceOf |
geometric representation
ⓘ
polarization representation ⓘ visualization tool ⓘ |
| analogousTo |
Bloch sphere in quantum mechanics
ⓘ
linked to:
Poincaré sphere
|
| antipodalPointsRepresent | orthogonal polarization states ⓘ |
| assumes |
fully polarized light
ⓘ
monochromatic light ⓘ |
| azimuthalAngleRepresents | orientation of polarization ellipse ⓘ |
| bottomPointRepresents | right-handed circular polarization ⓘ |
| category |
geometrical optics
ⓘ
mathematical physics ⓘ polarization (waves) ⓘ |
| coordinateSystem |
Stokes parameters
ⓘ
normalized Stokes parameters ⓘ |
| domain |
electromagnetism
ⓘ
optics ⓘ photonics ⓘ |
| equatorRepresents | linear polarization ⓘ |
| generalizedTo | higher-dimensional polarization spaces in some formalisms ⓘ |
| hasAxis |
S1 axis
ⓘ
S2 axis ⓘ S3 axis ⓘ |
| hasShape | sphere ⓘ |
| introducedInContextOf | classical polarization theory ⓘ |
| mathematicalSpace | unit sphere in three-dimensional space ⓘ |
| meridiansRepresent | elliptical polarization states ⓘ |
| namedAfter | Henri Poincaré ⓘ |
| parameterization | spherical coordinates ⓘ |
| pointOnSphereRepresents | a unique polarization state ⓘ |
| polarAngleRepresents | ellipticity of polarization ⓘ |
| relatedConcept |
Jones vector
ⓘ
Mueller calculus ⓘ Stokes vector ⓘ
linked to:
Stokes parameters
|
| represents |
all possible polarization states of a monochromatic plane wave
ⓘ
fully polarized light states ⓘ |
| topPointRepresents | left-handed circular polarization ⓘ |
| usedFor |
analyzing polarization transformations
ⓘ
describing polarization in optics ⓘ representing states of polarization of light ⓘ visualizing polarization states ⓘ |
| usedIn |
fiber optics
ⓘ
liquid crystal display analysis ⓘ optical communications ⓘ polarimetry ⓘ polarization mode dispersion analysis ⓘ polarization optics ⓘ quantum optics ⓘ |
| usedToModel | unitary polarization transformations as rotations ⓘ |
| visualFeature |
great circles representing specific polarization families
ⓘ
orthogonal polarization bases as diameters ⓘ |
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: Poincaré sphere Description of subject: The Poincaré sphere is a geometric representation that maps all possible states of polarization of light onto points on the surface of a sphere.
Referenced by (5)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Poincaré sphere
linked to: Poincaré sphere
linked to: Poincaré sphere