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Rayleigh scattering of that light off oxygen and nitrogen molecules, and; the response of the human visual system. The strong wavelength dependence of the Rayleigh scattering (~λ −4) means that shorter wavelengths are scattered more strongly than longer wavelengths. This results in the indirect blue and violet light coming from all regions ...
When a cross section is integrated over all scattering angles (and possibly other variables), it is called a total cross section or integrated total cross section. For example, in Rayleigh scattering, the intensity scattered at the forward and backward angles is greater than the intensity scattered sideways, so the forward differential ...
where Q is the efficiency factor of scattering, which is defined as the ratio of the scattering cross-section and geometrical cross-section πa 2. The term p = 4πa( n − 1)/λ has as its physical meaning the phase delay of the wave passing through the centre of the sphere, where a is the sphere radius, n is the ratio of refractive indices ...
Other approximations to scattering by a single sphere include: Debye series, ray tracing (geometrical optics), ray tracing including the effects of interference between rays, Airy theory, Rayleigh scattering, diffraction approximation. There are many phenomena related to light scattering by spherical particles such as resonances, surface waves ...
Lord Rayleigh recognized the zero-angle scattering amplitude in terms of the index of refraction as n = 1 + 2 π N f ( 0 ) k 2 {\displaystyle n=1+2\pi {\frac {Nf(0)}{k^{2}}}} (where N is the number density of scatterers), which he used in a study of the color and polarization of the sky.
Scattering of light and radio waves (especially in radar) is particularly important. Several different aspects of electromagnetic scattering are distinct enough to have conventional names. Major forms of elastic light scattering (involving negligible energy transfer) are Rayleigh scattering and Mie scattering.
SI prefixes are used with the rayleigh. One rayleigh (1 R) is defined as a column emission rate of 10 10 photons per square metre per column per second. A column is one centimeter cross-section [clarify]. [3] The rayleigh is a unit of an apparent emission rate, without allowances being made for scattering or absorption.
where σ is the area (or, more formally, the "scattering cross-section") of one atom. The drop in beam intensity equals the incoming beam intensity multiplied by the probability of the particle being stopped within the slab: =. This is an ordinary differential equation: