Title
A Unified Microwave Radiative Transfer Model for General Planar Stratified Media: Slab Formulation
Abstract
A unified microwave radiative transfer (UMRT) model is presented for computing the thermal radiation emitted from any geophysical medium composed of planar layers of either densely or tenuously distributed moderately sized spherical scatterers. UMRT employs the discrete-ordinate eigenanalysis (DOE) method with layer adding to solve the differential radiative transfer equation for such multilayer structures. UMRT inherits the symmetrization and analytical diagonalization and factorization techniques of symmetric and positive definite matrices from the discrete-ordinate tangent linear radiative transfer (DOTLRT) model presented by Voronovich These techniques ensure accuracy, numerical stability, and rapid computation for all matrix operations required for DOE along with a fast Jacobian calculation for radiance assimilation purposes. UMRT extends the applicability of DOTLRT by including both the Mie theory and the dense media radiative transfer (DMRT) theory. Other nontrivial extensions within UMRT are the following: 1) The vertical and horizontal radiation intensities are coupled within each layer by applying the reduced Mie or DMRT phase matrices, and 2) the physical temperature profile of a layer is allowed to be linear in height. The symmetry properties of both the reduced Mie and DMRT phase matrices are proved, and the associated scattering and absorption coefficients are compared and discussed. The UMRT slab formulation is validated by imposing energy conservation, and the numerical results for some nominal cases are produced and discussed.
Year
DOI
Venue
2013
10.1109/TGRS.2012.2227331
IEEE T. Geoscience and Remote Sensing
Keywords
Field
DocType
dense media,jacobian,horizontal radiation intensities,vertical radiation intensities,atmospheric techniques,physical temperature profile,unified microwave radiative transfer model,layered media,dense-medium radiative transfer (dmrt),dense media radiative transfer theory,numerical stability,polarization,numerical analysis,mie phase matrices,umrt slab formulation,symmetric definite matrices,analytical diagonalization,discrete-ordinate tangent linear radiative transfer model,mie theory,tenuously distributed moderately sized spherical scatterers,microwave remote sensing,dmrt phase matrices,thermal radiation computing,doe,radiative transfer,planar layers,symmetric and positive definite matrix,positive definite matrices,multilayer structures,discrete-ordinate eigenanalysis method,matrix decomposition,jacobian calculation,differential radiative transfer equation,geophysical medium,general planar stratified media:,radiance assimilation,umrt,jacobian matrices,factorization techniques,mie,umrt symmetrization,atmospheric temperature,atmospheric radiation,symmetric matrices,scattering,mathematical model
Computational physics,Mie scattering,Matrix (mathematics),Remote sensing,Atmospheric radiative transfer codes,Scattering,Numerical analysis,Radiative transfer,Matrix multiplication,Classical mechanics,Numerical stability,Physics
Journal
Volume
Issue
ISSN
51
7
0196-2892
Citations 
PageRank 
References 
1
0.41
5
Authors
2
Name
Order
Citations
PageRank
Miao Tian110.41
Albin J. Gasiewski27119.68