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

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Extinction of solar radiation RTE Transmittance I I ('l O) Beer’s law Abs. cross section Opacity & Transmission Mean free path Scattering Schwarzschild eq. € 0) a. o (o5 e9 ={ I o) -oon> LJä8 ö' 9_ N)]üC;g)(D A< 5A J I I I I
Schwarzschild equation The atmosphere not only absorbs but it also emits radiation according Kirchhoff’s law → we have to combine extinction and thermal emission! For the infrared part we will neglect scattering Consider radiation at λ propagating through a layer ds → initial intensity I will be attenuated due to absorption dI abs = −k a Ids RTE Beer’s law Abs. cross section Opacity & Transmission Mean free path Scattering Schwarzschild eq. Fraction lost of intensity due to absorption is k a ds → This is the absorptivity of the slice of the medium According Kirchhoff this absorptivity is equal to the emissivity ε of the slice → The slice will thus emit radiation dI emit = εB(T ) = k a B(T )ds where B(T) is the Planck function
Page 1 and 2: Radiative Transfer Radiative transf
Page 3 and 4: Absorption by a non homogeneous med
Page 5 and 6: Opacity and transmittance Atmospher
Page 7 and 8: Transmission of Earth atmosphere Mi
Page 9 and 10: Mean free path of a photon What hap
Page 11 and 12: Scattering of radiation ◮ In addi
Page 13: Example of scattering efficiency RT
Page 17 and 18: Schwarzschild equation The net chan
Page 19: Radiative transfer equation Line by

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

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