Scattering
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Scattering. Types of Scattering in the Atmosphere. Rayleigh Mie Geometric. Rayleigh Scattering in Visible Spectrum. Blue sky Red Sunset Blue water (from underwater). Rayleigh Scattering. Wavelength of light is much larger than scattering particles

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Scattering

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Scattering

Scattering


Types of scattering in the atmosphere

Types of Scattering in the Atmosphere

  • Rayleigh

  • Mie

  • Geometric


Rayleigh scattering in visible spectrum

Rayleigh Scattering in Visible Spectrum

  • Blue sky

  • Red Sunset

  • Blue water (from underwater)


Rayleigh scattering

Rayleigh Scattering

  • Wavelength of light is much larger than scattering particles

  • Blue light ~4000 Angstroms, scattering particles ~1 Angstrom (1A=10-10 m)


Intensity of rayleigh scattering

Intensity of Rayleigh Scattering


Angular intensity factor

Angular Intensity Factor

  • Where f is the angle between the incident beam and the scattered light so for non-polarized light


Rayleigh scattering1

Rayleigh Scattering

  • Can be explained in terms of oscillations of dipole atoms when excited by an EM wave

  • Derivation explains polarization as well

  • See Petty 341-347


Mie scattering

Mie Scattering

  • Explains scattering around larger droplets such as Corona around the sun or moon, Glory and similar phenomena.


Mie scattering1

Mie Scattering

  • Begin with Maxwell’s equations

  • Derive a wave equation in spherical polar coordinates

  • Provide boundary conditions at surface of a sphere

  • Solve the partial differential wave equation for dependence on r, q, f.


Mie scattering cont

Mie Scattering cont.

  • The bracket has the form of a Bessel function of the first order and


Mie scattering cont1

Mie Scattering cont.

  • Fortunately, there are some people who enjoy solving these equations and setting up computer programs to calculate the results.


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