Inverse atmospheric radiative transfer problems - A nonlinear minimization search method of solution

Details Inverse atmospheric radiative transfer problems - A nonlinear minimization search method of solution Inverse atmospheric radiative transfer problems - A nonlinear minimization search method of solution

Aug 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976pepi...12..273f&link_type=abstract

(International Union of Geodesy and Geophysics, Symposium on Analysis, Processing and Interpretation of Geophysical Data, Grenob

Physics

Optics

2

Aerosols, Air Pollution, Atmospheric Optics, Optimization, Radiative Transfer, Atmospheric Refraction, Atmospheric Scattering, Computer Techniques, Fredholm Equations, Least Squares Method, Mathematical Models, Particle Size Distribution, Thermal Emission

Scientific paper

The paper studies the inversion of the radiative transfer equation describing the interaction of electromagnetic radiation with atmospheric aerosols. The interaction can be considered as the propagation in the aerosol medium of two light beams: the direct beam in the line-of-sight attenuated by absorption and scattering, and the diffuse beam arising from scattering into the viewing direction, which propagates more or less in random fashion. The latter beam has single scattering and multiple scattering contributions. In the former case and for single scattering, the problem is reducible to first-kind Fredholm equations, while for multiple scattering it is necessary to invert partial integrodifferential equations. A nonlinear minimization search method, applicable to the solution of both types of problems has been developed, and is applied here to the problem of monitoring aerosol pollution, namely the complex refractive index and size distribution of aerosol particles.

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