260
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

Inverse radiative transfer problems in two-dimensional participating media

, , &
Pages 103-121 | Received 11 Jan 2002, Accepted 20 May 2003, Published online: 13 Oct 2011

  • Kedrow, NV, Popov, AS, Khimchenko, , A.S., , and Tsybin, , 1997. Neutron – gamma well logging apparatus with more sensitivity for chlorine, Applied Radiation and Isotopes 48 (1997), pp. 1647–1648.
  • Schweitzer, JS, 1991. Nuclear techniques in the oil industry, Nuclear Geophysics 5 (1991), pp. 65–90.
  • Herman, GT, 1979. Image Reconstruction from Projections – Implementation and Applications, Springer Verlag. 1979.
  • Herman, GT, 1980. Image Reconstruction from Projections – The Fundamentals of Computerized Tomography, Academic Press. 1980.
  • McCormick, NJ, 1993. "Inverse photon transport methods for biomedical applications". In: 1st International Conference on Inverse Problems in Engineering: Theory and Practice. Daytona, USA. 1993. p. pp. 253–258.
  • Sundman, LK, Sanchez, R, and McCormick, NJ, 1998. Ocean optical source estimation with widely spaced irradiance measurements, Applied Optics 37 (1998), pp. 3793–3803.
  • Leathers, RA, Roesler, CS, and McCormick, NJ, 1999. Ocean inherent optical property determination from in-water light field measurements, Applied Optics 38 (1999), pp. 5096–5103.
  • Silva Neto, AJ, and Özisik, MN, 1995. An inverse problem of simultaneous estimation of radiation phase function, albedo and optical thickness, J. Quant. Spectrosc. Radiat. Transfer 53 (1995), pp. 397–409.
  • Silva Neto, AJ, and Özisik, MN, 1993. "An inverse problem of estimating thermal conductivity, optical thickness, and single scattering albedo of a semi-transparent medium". In: Proc. 1st International Conference on Inverse Problems in Engineering: Theory and Practice. Florida, USA. 1993. p. pp. 267–273.
  • Kauati, AT, Silva Neto, AJ, and Roberty, NC, 2001. A source-detector methodology for the construction and solution of the one dimensional inverse transport equation, Inverse Problems in Engineering 9 (2001), pp. 25–66.
  • Carita Montero, RF, Roberty, NC, and Silva Neto, AJ, 2001. Absorption coefficient estimation in heterogeneous media using a domain partition consistent with divergent beams, Inverse Problems in Engineering 9 (2001), pp. 587–617.
  • Silva Neto, AJ, and Soeiro, FJCP, 2002. "Estimation of phase function of anisotropic scattering with a combination of gradient based and stochastic global optimization methods". In: 5th World Congress on Computational Mechanics. Vienna, Austria. 2002.
  • Silva Neto, AJ, and Soeiro, FJCP, 2003. "Solution of implicitly formulated inverse heat transfer problems with hybrid methods". In: Mini-symposium Inverse Problems from Thermal/Fluids and Solid Mechanics Applications – 2nd MIT Conference on Computational Fluid and Solid Mechanics. Cambridge, USA. 2003.
  • Li, HY, and Özisik, MN, 1992. Estimation of the radiation source term with conjugate gradient method of inverse analysis, J. Quant Spectrosc. Radiat. Transfer 48 (1992), pp. 237–244.
  • Siewert, CE, 1993. An inverse source problem in radiative transfer, J. Quant Spectrosc. Radiat, Transfer 50 (1993), pp. 603–609.
  • Silva Neto, AJ, 2002. "Explicit and implicit formulations for inverse radiative transfer problems". In: 5th World Congress on Computational Mechanics, Mini – Symposium MS 125– Computational Treatment of Inverse Problems in Mechanics. Vienna, Austria. 2002.
  • Silva Neto, AJ, and McCormick, NJ, 2001. "An explicit formulation for the inverse radiative transfer problem of single scattering albedo and diffuse reflectivities estimation". In: Inverse Problems in Engineering Symposium. Texas, USA. 2001.
  • Silva Neto, AJ, and McCormick, NJ, 2002. "An explicit formulation based on the moments of the exit radiation intensity for the one dimensional inverse radiative transfer problem". In: 4th International Conference on Inverse Problems in Engineering: Theory and Practice. Angra dos Reis, Brazil. 2002.
  • Haggag, MH, Degheidy, AR, and El-Depsy, A, 1997. Efficient and accurate method for radiation transfer problem, J. Quant. Spectrosc. Radiat. Transfer 58 (1997), pp. 19–352.
  • Cardona, AV, and Vilhena, MT, 1997. Analytical solution for the AN approximation, Progress in Nuclear Energy 31 (1997), pp. 219–223.
  • Siewert, CE, 1978. The FN method for solving radiative transfer problems in plane-geometry, Astrophysics and Space Science 58 (1978), pp. 131–137.
  • Modest, FM, 1993. Radiative Heat Transfer, McGraw-Hil, Incl. New York. 1993.
  • Haferman, JL, Smith, TF, and Krajewski, WF, 1997. A multi-dimensional discrete-ordinate method, for polarized radiative transfer. Part I: validation for randomly oriented axisymetric particles, J. Quant. Spectrosc. Radiat. Transfer 58 (1997), pp. 379–398.
  • Lee, KH, and Viskanta, R, 1997. Prediction of spectral radiative transfer in a condensed cylindrical medium using discrete ordinate method, J. Quant. Spectrosc. Radiat. Transfer 58 (3) (1997), pp. 329–345.
  • Selçuk, N, and Kayakol, N, 1997. Evaluation of discrete ordinate method for radiative transfer in rectangular furnaces, Int. J. Heat Mass Transfer 40 (1997), pp. 213–222.
  • Sakami, M, Charette, A, and Le Dez, V, 1998. Radiative heat transfer in three-dimensional enclosures of complex geometry by using the discrete-ordinate method, J. Quant. Spectrosc. Radiat. Transfer 59 (1998), pp. 117–136.
  • Chandrasekhar, S, 1960. Radiative Transfer, Dover Publications. New York. 1960.
  • Fiveland, WA, 1984. Discrete – ordinates solutions of the radiative transport equation for rectangular enclosures, Journal of Heat Transfer 106 (1984), pp. 699–706.
  • Fiveland, WA, 1991. The selection of discrete ordinate quadrature sets for anisotropic scattering, Fundamentals of Radiation Heat Transfer, ASME HTD-Vol. 160 (1991), p. pp. 89–96.
  • Truelove, JS, 1987. Discrete ordinates solutions of the radiation transport equation, Journal of Heat Transfer 109 (1987), pp. 1048–1051.
  • Truelove, JS, 1988. Three-dimensional radiation in absorbing-emitting-scattering media using the discrete-ordinates approximation, J. Quant. Spectrosc. Radiat. Transfer 39 (1988), pp. 27–31.
  • Özisik, MN, 1973. Radiative Transfer and Interactions with Conduction and Convection, John Wiley and Sons. New York. 1973.
  • Marquardt, DW, 1963. An algorithm for least-squares estimation of nonlinear parameters, J. Soc. Indust. Appl. Math 11 (1963), pp. 431–441.
  • Dowding, KJ, B.F, , Blackwell, , and Cochran, J, 1999. Application of sensitivity coefficients for heat conduction problems, Numerical Heat Transfer, Part B 36 (1999), pp. 33–55.
  • Razzaque, MN, Klein, DE, and Howell, JR, 1983. Finite element solution of radiative transfer in a two-dimensional rectangular enclosure with gray participating media, Journal of Heat Transfer 105 (1983), pp. 933–936.
  • Lathrop, KD, 1968. Ray effects in discrete ordinates equations, Nuclear Science and Engineering 32 (1968), pp. 357–369.
  • Chai, JC, Lee, HS, and Pantankar, SV, 1993. Ray effect and false scattering in the discrete ordinates method, Numerical Heat Transfer, Part B 24 (1993), pp. 373–389.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.