The Successive-Order-of-Interaction Radiative Transfer Model. Part I: Model Development

Abstract This study, the first part of a two-part series, develops the method of “successive orders of interaction” (SOI) for a computationally efficient and accurate solution for radiative transfer in the microwave spectral region. The SOI method is an iterative approximation to the traditional adding and doubling method for radiative transfer. Results indicate that the approximations made in the SOI method are accurate for atmospheric layers with scattering properties typical of those in the infrared and microwave regions. In addition, an acceleration technique is demonstrated that extends the applicability of the SOI approach to atmospheres with greater amounts of scattering. A comparison of the SOI model with a full Monte Carlo model using the atmospheric profiles given by Smith et al. was used to determine the optimal parameters for the simulation of microwave top-of-atmosphere radiances. This analysis indicated that a four-stream model with a maximum initial-layer optical thickness of approximately ...

[1]  Eric A. Smith,et al.  Intercomparison of microwave radiative transfer models for precipitating clouds , 2002, IEEE Trans. Geosci. Remote. Sens..

[2]  H. C. Van De Hulst,et al.  Multiple light scattering in planetary atmospheres. , 1968 .

[3]  J. Weinman,et al.  Determination of Rainfall Distributions from Microwave Radiation Measured by the Nimbus 6 ESMR , 1977 .

[4]  Christopher W. O'Dell,et al.  The Successive-Order-of-Interaction Radiative Transfer Model. Part II: Model Performance and Applications , 2006 .

[5]  B. Herman,et al.  Comparison of the Gauss-Seidel spherical polarized radiative transfer code with other radiative transfer codes. , 1995, Applied optics.

[6]  M. Wendisch,et al.  High speed version of the method of 'successive order of scattering' and its application to remote sensing , 1991 .

[7]  William M. Irvine,et al.  Multiple scattering by large particles. , 1965 .

[8]  C. Bohren,et al.  An introduction to atmospheric radiation , 1981 .

[9]  Grant W. Petty,et al.  Physical retrievals of over-ocean rain rate from multichannel microwave imagery. Part I: Theoretical characteristics of normalized polarization and scattering indices , 1994 .

[10]  J. Hansen.  Radiative transfer by doubling very thin layers , 1969 .

[11]  William M. Irvine,et al.  The formation of absorption bands and the distribution of photon optical paths in a scattering atmosphere , 1963 .

[12]  Fuzhong Weng,et al.  A Microwave Polarimetric Two-Stream Radiative Transfer Model , 2002 .

[13]  H. B. Howell,et al.  Matrix Methods for Multiple-Scattering Problems , 1966 .

[14]  Warren J. Wiscombe,et al.  Extension of the doubling method to inhomogeneous sources , 1976 .

[15]  I. W. Busbridge.  The Mathematics of Radiative Transfer. , 1960 .

[16]  Christopher W. O'Dell,et al.  Fast Computation of Microwave Radiances for Data Assimilation Using the “Successive Order of Scattering” Method. , 2005 .

[17]  Albin J. Gasiewski,et al.  A fast multistream scattering-based Jacobian for microwave radiance assimilation , 2004, IEEE Transactions on Geoscience and Remote Sensing.

[18]  Warren J. Wiscombe,et al.  On initialization, error and flux conservation in the doubling method , 1976 .