AT721 - Theoretical Topics in                Radiative Transfer Course Objective: Purpose is to acquaint students with advanced concepts of radiative transfer to the extent that (I) they can solve typical problems of atmospheric radiative transfer and (II) they can use these concepts in retrieval of atmosphere parameters from measurements of radiation (topics covered in the course are indicated by asterisks). Course Outline: PDF Part I: Forward methods of atmospheric Radiative transfer Elementary Concepts Section 1 2007 notes: PDF Class Presentation: PDF Lecture 1: (19 January 2007) - click here Movie link: AVIRIS_M - click here The Radiative Transfer Equation Section 2 2007 notes: PDF Class Presentation: PDF The Integral Solution Expansions, Quadrature and Matrix Equation of Transfer Section 4 2007 notes: PDF Phase Function Expansions - PDF Text File: phase_function_0_858_reff_10.TXT The Interaction Principle Section 5 2007 notes: PDF Doubling Method - Wiscombe, 1975 PDF Doubling Method - Wiscombe, 1976 PDF Doubling Method - Liou, 1973 PDF Orders of scatter and Monte Carlo Methods Approximate Methods Section 7 notes: PDF Characteristic Solutions I; Isotropic scattering Twomey & Bohren: PDF Twomey & Bohren Powerpoint: PPT Section 8 notes: PDF Characteristic Solutions II; Anisotropic scattering Section 9 notes: PDF Benedetti, et al, JQSRT, 2002 - PDF Jacobians Advanced Topics I; Polarization Advanced Topics II; Multi-dimensional transport Part II: Inverse methods of Radiative Transfer Introduction to Inverse Radiation Problems Section 11 notes: PDF Section 11 notes, PPT: PPT Introduction to Bayes theorem and general Linear inverse Section 12 notes, PPT: PPT Section 12 notes: PDF Evans et al 2002 paper: Linear Inverse Problem Error Analyses and Characterization Section 13 notes: PDF Section 13 Lidar Figures: PPT Section 13 Supp Notes: PPT L'Ecuyer et al 2002 paper: PDF Stephens and Engelen 2001 paper: PDF Information Content Section 14 notes, Part I: PPT Section 14 notes, Part II: PPT References, Part I: PDF References, Part II: PDF L'Ecuyer et al 2005 paper: PDF class_12_2.ppt: Machine Learning References, Part I: PDF References, Part I: PPT Programs: D_sol_32.for pleg.f (Legendre polynomials) gauss_quad.f (Gaussian roots & weights) asymtx.f (eigenvalues & eigenvectors) H_functions.f PB_matrices_L16.txt PB_matrices_L32.txt tau=10_results.txt Additional files: Lecture 7 - PPT 20060720_1130UTC_MODIS.txt MODISdustlike_1and2_g_and_omega.txt phase_func_MODISdustlike_1.txt phase_func_MODISdustlike_2.txt phase_functions.jpg modis_refl.gif modis_tau.gif modis_data.txt 2.13_SingleScat.txt 213_w0.jpg Course Reference:Various. Two seminal references for the material covered in this course are: Chandresekhar: Radiative Transfer, Dover, 1950. Twomey: Introduction to the mathematics of inversion in remote sensing and indirect measurements, Dover, 1997. Moler and Van Loan: Nineteen Dubious Ways to Compute the Exponential of a Matrix, SIAM, 1978. PDF Mitrescu and Stephens: On similarity and scaling of the radiative transfer equation, JQSRT, 2004. PDF Stephens and Engelen: Toward retrieving properties of the tenuous atmosphere using space-based LIDAR measurements, JGR, 2001. PDF Department of Atmospheric Science Colorado State University Fort Collins, Colorado 80523-1371 E-Mail: Webmaster Last Modified: January 2007