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.

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Mie theory canonical 1

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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

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Rayleigh scattering relatedTo Mie theory