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Light Scattering. Rayleigh Scattering & Mie Scattering. What is Scattering?. Process by which particles suspended in a medium of a different index of refraction diffuse a portion of the incident radiation in all directions

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Presentation Transcript
light scattering

Light Scattering

Rayleigh Scattering & Mie Scattering

what is scattering
What is Scattering?
  • Process by which particles suspended in a medium of a different index of refraction diffuse a portion of the incident radiation in all directions
  • No energy transformation results, only a change in the spatial distribution of the radiation
  • Function of ratio of particle diameter to wavelength of incident radiation
scattering plane
Scattering Plane
  • Defined by the two rays involved, the source-particle ray and the particle-observer ray
  • Determined by observation, not fixed in space. For example, if the observer moves, the scattering plane will move with the observer.
rayleigh scattering
Rayleigh Scattering
  • Particles much smaller than wavelength of radiation
  • Proportional to 1/ λ4
  • Shorter wavelengths scattered much more than longer wavelengths
  • Air molecules (N2 and O2) just the right size to very effectively scatter the shorter wavelengths (blue light) of incident solar radiation => blue sky
mie scattering
Mie Scattering
  • Scattering by a isotropic, homogeneous sphere
  • Particle dimension comparable to wavelength of radiation (aerosols, water vapour)
  • Longer wavelengths scattered more than shorter wavelengths
  • More forward scattering
  • Scattering properties depend on wavelength, size, real and imaginary parts of refractive index, and size distribution
theory
Theory
  • Fundamental Equation of RT
  • Phase Function Expansion
  • Can use addition theorem for spherical harmonics to expand P in Fourier cosine series over azimuthal angle
theory contd
Theory (Contd…)
  • Expand I in Fourier cosine series
  • RT equation transformed into 2M independent integro-differential equations
  • Integration performed by Gaussian quadrature (2N ‘streams’)
  • Reference: http://www.gps.caltech.edu/~vijay/Papers/RT_Models/DISORT%20Report.pdf
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