A general nonlinear inverse transport algorithm using forward and adjoint flux computations

IEEE Transactions on Nuclear Science

Volumn 44, Issue 2, 1997, Pages 153-162

  Norton, Stephen J ^a  

^a OAK RIDGE NATIONAL LABORATORY   (United States)

Author keywords

Adjoint flux; Imaging; Inverse problem; Inverse transport problem; Nonlinear inverse transport

Indexed keywords

ALGORITHMS; INVERSE PROBLEMS; ITERATIVE METHODS; LIGHT SCATTERING; NEUTRON SCATTERING; OPTIMIZATION;

ADJOINT TRANSPORT; FORWARD TRANSPORT; INVERSE TRANSPORT PROBLEMS;

IMAGING TECHNIQUES;

EID: 0031121265     PISSN: 00189499     EISSN: None     Source Type: Journal    
DOI: 10.1109/23.568797     Document Type: Article

References (22)

1. N. J. McCormickInverse radiative transfer problems: A reviewNucl. Sci. Eng., vol. 112, pp. 185-198, 1992.
2. C. E. SiewertOn the inverse problem for a three-term phase functionJ. Quant. Spectrosc., vol. 22, pp. 441-4146, 1979.
3. E. W. LarsenSolution of the inverse problem in multigroup transport theoryJ. Math. Phys.. vol. 22, pp. 158-160, 1981.
4. R. Sanchez and N. J. McCormickGeneral solutions to inverse transport problemsJ. Math. Phys.. vol. 22, pp. 847-855, 1981.
5. E. W. LarsenSolution of multidimensional inverse transport problemsJ. Math. Phys.. vol. 25, pp. 131-135, 1984.
6. P. E. Gill, W. Murray, and M. H. Wright, Practical Optimization. San Diego, CA: Academic, 1981.
7. Y. Jarny, M. N. Ozisik, and J. P. BardonA general optimization method using adjoint equations for solving multidimensional inverse heat conductionInt. J. Heat Mass Transfer, vol. 34, pp. 2911-2919, 1991.
8. O. M. Alifanov, E. A. Artyukhin, and A. V. NenarokomovSpline approximation of the solution of the inverse heat-conduction problemHigh Temperature, vol. 25, pp. 520-526, 1987.
9. E. A. Artyukhin and A. V. NenarokomovCoefficient inverse heatconduction problemJ. Eng. Phys., vol. 53, pp. 1085-1090, 1987.
10. O. M. Alifanov and A. V. NenarokomovExtremal formulation of a three-dimensional inverse problem of heat conductionSov. Phys. Dokl, vol. 37, pp. 409-410, 1992.
11. J. R. Singer, F. A. Grunbaum, P. Kohn, and J. P. ZubelliImage reconstruction of the interior of bodies that diffuse radiationScience, vol. 248, pp. 990-993, 1990.
12. The general task of guaranteeing unique and relatively well-conditioned solutions to inverse problems has received a great deal of attention in recent Decades. The subject of the regularization of ill-conditioned inverse problems is treated extensively in the following books: Inverse Problem Theory, A. Tarantula, Ed. New York: Elsevier, 1987, an Geophysical Data Analysis: Discrete Inverse Theory, W. Menke, Ed San Diego, CA: Academic, 1989.
13. G. I. Bell and S. Glasstone, Nuclear Reactor Theory. New York: Va Nostrand Reinhold, 1970, p. 65.
14. _, Nuclear Reactor Theory. New York: Van Nostrand Reinhold 1970, p. 257.
15. _, Nuclear Reactor Theory. New York: Van Nostrand Reinhold 1970, p. 255.
16. N. J. McCormickTransport scattering coefficients from reflection an transmission measurementsJ. Math. Phys., vol. 20, pp. 1504-1507 1979.
17. _ Inverse methods for remote determination of properties o optically thick atmospheresAppl. Optics, vol. 22, pp. 2556-2558 1983.
18. N. J. McCormick and R. SanchezInverse problem transport calculations for anisotropic scattering coefficientsJ. Math. Phys., vol. 22, pp 199-208, 1981.
19. K. KamiutoA constrained least-squares method for limited invers scattering problemsJ. Quant. Spectrosc. Radiât. Transfer, vol. 40, pp 47-50, 1988.
20. J. C. Oelund and N. J. McCormickSensitivity of multiple-scatterin inverse transport methods to measurement errorsJ. Opt. Soc. Am. A vol. 2, pp. 1972-1978, 1985.
21. G. I. Bell and S. Glasstone, Nuclear Reactor Theory. New York: Va Nostrand Reinhold, 1970, pp. 102-103.
22. _, Nuclear Reactor Theory. New York: Van Nostrand Reinhold 1970, p. 88.