Mie theory
E672910
Mie theory is a comprehensive mathematical framework that describes how electromagnetic waves scatter from spherical particles of any size, extending and generalizing the simpler Rayleigh scattering regime.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Mie theory canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T7570507 — 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.
Target entity: Mie theory Context triple: [Rayleigh scattering, relatedTo, Mie theory]
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A.
Kirchhoff diffraction theory
Kirchhoff diffraction theory is a classical wave optics framework that models light propagation and diffraction by treating wavefronts as superpositions of secondary spherical waves emitted from an aperture.
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B.
Fresnel diffraction theory
Fresnel diffraction theory is a wave-optics framework that describes how light diffracts when source or observation distances are finite, using near-field approximations derived from the Huygens–Fresnel principle.
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C.
Rayleigh–Sommerfeld diffraction theory
Rayleigh–Sommerfeld diffraction theory is a more rigorous scalar diffraction formulation that corrects limitations in Kirchhoff’s approach by using boundary conditions consistent with the wave equation.
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D.
Rayleigh scattering
Rayleigh scattering is the physical phenomenon in which light or other electromagnetic radiation is elastically scattered by particles much smaller than its wavelength, explaining effects such as the blue color of the daytime sky.
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E.
Fraunhofer diffraction
Fraunhofer diffraction is the far-field diffraction pattern of waves, typically light, observed when both the source and observation screen are effectively at infinite distance or made so with lenses, producing characteristic interference patterns.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Mie theory Target entity description: Mie theory is a comprehensive mathematical framework that describes how electromagnetic waves scatter from spherical particles of any size, extending and generalizing the simpler Rayleigh scattering regime.
-
A.
Kirchhoff diffraction theory
Kirchhoff diffraction theory is a classical wave optics framework that models light propagation and diffraction by treating wavefronts as superpositions of secondary spherical waves emitted from an aperture.
-
B.
Fresnel diffraction theory
Fresnel diffraction theory is a wave-optics framework that describes how light diffracts when source or observation distances are finite, using near-field approximations derived from the Huygens–Fresnel principle.
-
C.
Rayleigh–Sommerfeld diffraction theory
Rayleigh–Sommerfeld diffraction theory is a more rigorous scalar diffraction formulation that corrects limitations in Kirchhoff’s approach by using boundary conditions consistent with the wave equation.
-
D.
Rayleigh scattering
Rayleigh scattering is the physical phenomenon in which light or other electromagnetic radiation is elastically scattered by particles much smaller than its wavelength, explaining effects such as the blue color of the daytime sky.
-
E.
Fraunhofer diffraction
Fraunhofer diffraction is the far-field diffraction pattern of waves, typically light, observed when both the source and observation screen are effectively at infinite distance or made so with lenses, producing characteristic interference patterns.
- F. None of above. chosen
Statements (50)
| Predicate | Object |
|---|---|
| instanceOf |
electromagnetic scattering theory
ⓘ
mathematical framework ⓘ physical theory ⓘ |
| appliesTo | spherical particles of any size parameter ⓘ |
| assumes | homogeneous spherical particles ⓘ |
| computes |
absorption cross section
ⓘ
angular distribution of scattered light ⓘ extinction cross section ⓘ phase function ⓘ scattering cross section ⓘ |
| dependsOn |
complex refractive index of particle
ⓘ
refractive index of surrounding medium ⓘ size parameter ⓘ wavelength of incident light ⓘ |
| describes | scattering of electromagnetic waves by spherical particles ⓘ |
| explains |
color of colloidal suspensions
ⓘ
forward-peaked scattering by large particles ⓘ optical properties of aerosols ⓘ |
| field |
electromagnetism
ⓘ
light scattering ⓘ optics ⓘ |
| generalizes | Rayleigh scattering NERFINISHED ⓘ |
| hasConcept |
Mie coefficients
ⓘ
extinction efficiency ⓘ scattering efficiency ⓘ size parameter x = 2πr/λ ⓘ |
| hasExtension |
Mie theory for coated spheres
ⓘ
core–shell Mie theory ⓘ |
| introducedIn | 1908 ⓘ |
| namedAfter | Gustav Mie NERFINISHED ⓘ |
| publishedIn | Annalen der Physik NERFINISHED ⓘ |
| relatedTo |
Lorenz–Mie theory
NERFINISHED
ⓘ
Rayleigh–Gans approximation NERFINISHED ⓘ T-matrix method NERFINISHED ⓘ geometric optics approximation ⓘ |
| usedIn |
aerosol characterization
ⓘ
atmospheric optics ⓘ biophotonics ⓘ climate modeling of radiative forcing ⓘ cloud physics ⓘ nanophotonics ⓘ optical design of pigments ⓘ optical particle sizing ⓘ plasmonics ⓘ remote sensing ⓘ |
| uses |
Maxwell's equations
NERFINISHED
ⓘ
boundary conditions at particle surface ⓘ spherical Bessel functions ⓘ spherical Hankel functions ⓘ vector spherical harmonics ⓘ |
How these facts were elicited
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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.
Subject: Mie theory Description of subject: Mie theory is a comprehensive mathematical framework that describes how electromagnetic waves scatter from spherical particles of any size, extending and generalizing the simpler Rayleigh scattering regime.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.