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Radiative Transfer Radiative transfer equation (RTE) - IAP ...

Radiative Transfer Radiative transfer equation (RTE) - IAP ...

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Scattering of radiation<br />

◮ The scattering cross section is a kind of shadow<br />

However this ’shadow’ can be bigger than the actual<br />

geometrical cross section<br />

◮ The ratio of the scattering cross section to the<br />

geometrical area A is called scattering efficiency:<br />

Q s = σ s<br />

A<br />

◮ Q s in general will be a strong function of λ and ε<br />

◮ For visible wavelength σ s of air molecules is approx.<br />

proportional to 1/λ 4 → Rayleigh scattering<br />

◮ Rayleigh scattering explains blue sky and red sunsets<br />

and sunrises<br />

◮ The loss of radiation along a line-of-sight due to<br />

scattering is always associated with a gain in radiation<br />

along other lines-of-sight<br />

⇒ source term in radiative <strong>transfer</strong><br />

<strong>RTE</strong><br />

Beer’s law<br />

Abs. cross section<br />

Opacity &<br />

Transmission<br />

Mean free path<br />

Scattering<br />

Schwarzschild eq.

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