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Encyclopedia > Rayleigh scattering
Rayleigh scattering causing the blue hue of the sky and the reddening at sunset
Rayleigh scattering causing the blue hue of the sky and the reddening at sunset

Rayleigh scattering (named after Lord Rayleigh) is the scattering of light, or other electromagnetic radiation, by particles much smaller than the wavelength of the light. It occurs when light travels in transparent solids and liquids, but is most prominently seen in gases. Rayleigh scattering of sunlight in clear atmosphere is the main reason why the sky is blue. Rayleigh scattering, as well as scattering by clouds both contribute to diffuse light (direct light being sunrays). The Coorong, South Australia. ... The Coorong, South Australia. ... See also Rayleigh fading Rayleigh scattering Rayleigh number Rayleigh waves Rayleigh-Jeans law External links Nobel website bio of Rayleigh About John William Strutt MacTutor biography of Lord Rayleigh Categories: People stubs | 1842 births | 1919 deaths | Nobel Prize in Physics winners | Peers | British physicists | Discoverer of a chemical element ... In particle physics, scattering is a class of phenomena by which particles are deflected by collisions with other particles. ... This article or section does not cite any references or sources. ... Electromagnetism is the physics of the electromagnetic field: a field which exerts a force on particles that possess the property of electric charge, and is in turn affected by the presence and motion of those particles. ... The wavelength is the distance between repeating units of a wave pattern. ...


For scattering by particles similar to or larger than a wavelength, see Mie theory or Discrete dipole approximation (they apply to Rayleigh regime as well). Mie theory, also called Lorenz-Mie theory or Lorenz-Mie-Debye theory, is a complete analytical solution of Maxwells equations for the scattering of electromagnetic radiation by spherical particles (also called Mie scattering). ... The discrete dipole approximation (DDA) - is a method for computing scattering of radiation by particles of arbitrary shape. ...

Contents

Small size parameter approximation

Size of a scattering particle is defined by the ratio of its charcteristic dimension and wavelength

x = frac{2 pi r} {lambda}.

Rayleigh scattering can be defined as scattering in small size parameter regime x < < 1. The amount of Rayleigh scattering that occurs to a beam of light is dependent upon the size of the particles and the wavelength of the light; in particular, the scattering coefficient, and hence the intensity of the scattered light, varies for small size parameter inversely with the fourth power of the wavelength. Scattering from larger spherical particles is explained by the Mie theory for arbitrary size parameter x including small size parameter - in this case Mie theory reduces to Rayleigh approximation. Mie theory, also called Lorenz-Mie theory or Lorenz-Mie-Debye theory, is a complete analytical solution of Maxwells equations for the scattering of electromagnetic radiation by spherical particles (also called Mie scattering). ...


The intensity I of light scattered by a single small particle from a beam of unpolarized light of wavelength λ and intensity I0 is given by:

I = I_0 frac{ 1+cos^2 theta }{2 R^2} left( frac{ 2 pi }{ lambda } right)^4 left( frac{ n^2-1}{ n^2+2 } right)^2 left( frac{d}{2} right)^6,

where R is the distance to the particle, θ is the scattering angle, n is the refractive index of the particle, and d is the diameter of the particle. The refractive index (or index of refraction) of a medium is a measure for how much the speed of light (or other waves such as sound waves) is reduced inside the medium. ...


The angular distribution of Rayleigh scattering, governed by the (1+cos2 θ) term, is symmetric in the plane normal to the incident direction of the light, and so the forward scatter equals the backwards scatter. Integrating over the sphere surrounding the particle gives the Rayleigh scattering cross section σs: In nuclear and particle physics, the concept of a cross section is used to express the likelihood of interaction between particles. ...

sigma_s = frac{ 2 pi^5}{3} frac{d^6}{lambda^4} left( frac{ n^2-1}{ n^2+2 } right)^2.

The Rayleigh scattering coefficient for a group of scattering particles is the number of particles per unit volume N times the cross-section. As with all wave effects, in incoherent scattering the scattered powers add arithmetically, while in coherent scattering, such as if the particles are very near each-other, the fields add arithmetically and the sum must be squared to obtain the total scattered power. This article is about waves in the most general scientific sense. ... Coherence is the property of wave-like states that enables them to exhibit interference. ...


The strong wavelength dependence of the scattering (~λ-4) means that blue light is scattered much more than red light. In the atmosphere, this results in blue wavelength being scattered to a greater extent than longer wavelengths, and so one sees blue light coming from all regions of the sky. Direct radiation (from definition) is coming directly from the Sun. Rayleigh scattering is a good approximation to the manner in which light scattering occurs within various media for which scattering particles have small size parameter. YOU SUCK!!!!! ... Red is any of a number of similar colors evoked by light consisting predominantly of the longest wavelengths of light discernible by the human eye, in the wavelength range of roughly 625–750 nm. ... This article or section does not adequately cite its references or sources. ...


Why the sky is blue

When one looks at the sky, rather than seeing the black of space, one sees light from Rayleigh scattering off the air. Rayleigh scattering is proportional to the inverse fourth power of wavelength, which means that the shorter wavelength of blue light will scatter more than the longer wavelengths of green and red light. This gives the sky a blue appearance. Conversely, when one looks towards the sun at sunset, one sees the colors that were not scattered away -- the longer wavelength, red light.

See also: Diffuse sky radiation; Why is the sun yellow?

This article or section does not adequately cite its references or sources. ... The Sun (Latin: Sol) is the star at the center of the Solar System. ...

See also

When light is scattered from a molecule most photons are elastically scattered. ... An optical phenomenon is any observable event which results from the interaction of light and matter. ... Scattering is a general physical process whereby some forms of radiation, such as light or moving particles, for example, are forced to deviate from a straight trajectory by one or more localized non-uniformities in the medium through which it passes. ... Mie theory, also called Lorenz-Mie theory or Lorenz-Mie-Debye theory, is a complete analytical solution of Maxwells equations for the scattering of electromagnetic radiation by spherical particles (also called Mie scattering). ... Shot of sunbeams breaking through nebula bank The term Tyndall effect is usually applied to the effect of light scattering on particles in colloid systems, such as suspensions or emulsions. ... Critical Opalescence is a phenomenon in liquids close to their critical point, in which a normally transparent liquid appears milky due to density fluctuations at all possible wavelengths. ... Marian Smoluchowski (Marian Ritter von Smolan Smoluchowski, 28 May 1872 in Vorderbrühl near Vienna - 5 September 1917 in Kraków) was a Polish scientist, pioneer of statistical physics and a mountaineer. ...

References

  • C.F. Bohren, D. Huffman, Absorption and scattering of light by small particles,John Wiley, New York 1983. Contains good description of asymptotic behavior of Mie theory for small size parameter (Rayleigh approximation).
  • Ditchburn, R.W. (1963). Light, 2nd ed., London: Blackie & Sons, pp582–585. 

External links


  Results from FactBites:
 
Rayleigh scattering - Wikipedia, the free encyclopedia (1632 words)
Rayleigh scattering (named after Lord Rayleigh) is the scattering of light by particles much smaller than the wavelength of the light.
Rayleigh scattering of sunlight from particles in the atmosphere is one reason light from the sky is blue.
The amount of Rayleigh scattering that occurs to a beam of light is dependent upon the size of the particles and the wavelength of the light; in particular, the scattering coefficient, and hence the intensity of the scattered light, varies inversely with the fourth power of the wavelength, a relation known as the Rayleigh law.
Scattering - Wikipedia, the free encyclopedia (852 words)
Scattering, also called scatter, is the process by which small particles suspended in a medium of a different index of refraction diffuse a portion of the incident radiation in all directions.
Scattering varies as a function of the ratio of the particle diameter to the wavelength of the radiation.
In scattering experiments, a target of some material is bombarded with a beam of particles (typically electrons, protons, or neutrons) and the number of particles emerging in various directions is measured.
  More results at FactBites »


 

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