Comparison of Various Methods for Simultaneous Retrieval of Surface Emissivities and Gas Properties in Gray Participating Media

An inverse radiation analysis for simultaneous estimation of the radiative properties and the surface emissivities for a participating medium in between infinitely long parallel planes, from the knowledge of the measured temperatures and heat fluxes at the boundaries, is presented. The differential discrete ordinate method is employed to solve the radiative transfer equation. The present analysis considers three types of simple scattering phase functions. The inverse problem is solved through minimization of a performance function, which is expressed by the sum of squares of residuals between calculated and observed temperatures and heat fluxes at the boundaries. To check the performance and accuracy in retrieval, a comparison is presented between four retrieval methods, viz. Levenberg-Marquardt algorithm, genetic algorithm, artificial neural network, and the Bayesian algorithm. The results of the present analyses indicate that good precision in retrieval could be achieved by using only temperatures and heat fluxes at the boundaries. The study shows that the radiative properties of medium and surface emissivities can be retrieved even with noisy data using Bayesian retrieval algorithm and artificial neural network. Also, the results demonstrate that genetic algorithms are not efficient but are quite robust. Additionally, it is observed that an increase in the error in measurements significantly deteriorates the retrieval using the Levenberg-Marquardt algorithm.

[1]  M. N. Özişik,et al.  An inverse problem of simultaneous estimation of radiation phase function, albedo and optical thickness , 1995 .

[2]  Kenneth Levenberg.  A METHOD FOR THE SOLUTION OF CERTAIN NON – LINEAR PROBLEMS IN LEAST SQUARES , 1944 .

[3]  K. Stamnes,et al.  Numerically stable algorithm for discrete-ordinate-method radiative transfer in multiple scattering and emitting layered media. , 1988, Applied optics.

[4]  J. R. Howell,et al.  Absorption/Scattering Coefficients and Scattering Phase Functions in Reticulated Porous Ceramics , 1996 .

[5]  H. M. Park,et al.  Solution of the inverse radiation problem using a conjugate gradient method , 2000 .

[6]  M. Hanke.  A regularizing Levenberg - Marquardt scheme, with applications to inverse groundwater filtration problems , 1997 .

[7]  Thorsteinn S. Rögnvaldsson,et al.  JETNET 3.0—A versatile artificial neural network package , 1994 .

[8]  David L.B. Jupp,et al.  Extension of the discrete-ordinate algorithm and efficient radiative transfer calculation , 2002 .

[9]  Parameter Estimation in a Two-Layer Planar Gray Participating Medium , 2004 .

[10]  Norman J. McCormick,et al.  Inverse radiative transfer problems : a review , 1992 .

[11]  D. Marquardt.  An Algorithm for Least-Squares Estimation of Nonlinear Parameters , 1963 .

[12]  John H. Holland,et al.  Outline for a Logical Theory of Adaptive Systems , 1962, JACM.

[13]  Hung-Yi Li,et al.  A genetic algorithm for inverse radiation problems , 1997 .

[14]  W. A. Fiveland,et al.  Discrete Ordinate Methods for Radiative Heat Transfer in Isotropically and Anisotropically Scattering Media , 1987 .

[15]  R. F. Warming,et al.  Radiative transport and wall temperature slip in an absorbing planar medium , 1965 .

[16]  Sunil Kumar,et al.  The Differential-Discrete-Ordinate Method for Solutions of the Equation of Radiative Transfer , 1990 .

[17]  He-Ping Tan,et al.  Inverse radiation problem of sources and emissivities in one-dimensional semitransparent media , 2001 .

[18]  Kalyanmoy Deb,et al.  A Comparative Analysis of Selection Schemes Used in Genetic Algorithms , 1990, FOGA.

[19]  M. Pinar Mengüç,et al.  Thermal Radiation Heat Transfer , 2020 .

[20]  Hung-Yi Li,et al.  Identification of the Temperature Profile in an Absorbing, Emitting, and Isotropically Scattering Medium by Inverse Analysis , 1992 .

[21]  He-Ping Tan,et al.  SIMULTANEOUS IDENTIFICATION OF TEMPERATURE PROFILE AND WALL EMISSIVITIES IN ONE-DIMENSIONAL SEMITRANSPARENT MEDIUM BY INVERSE RADIATION ANALYSIS , 1999 .

[22]  Sally A. McFarlane,et al.  A Bayesian algorithm for the retrieval of liquid water cloud properties from microwave radiometer and millimeter radar data , 2002 .

[23]  John Skilling,et al.  Data analysis : a Bayesian tutorial , 1996 .

[24]  Emmanouil N. Anagnostou,et al.  A neural network approach to estimating rainfall from spaceborne microwave data , 1997, IEEE Trans. Geosci. Remote. Sens..