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The Adjoint Spectral Green’s Function Method Applied to Direct and Inverse Neutral Particle Source–Detector Problems

In: Integral Methods in Science and Engineering

Author

Listed:
  • Jesús P. Curbelo

    (Universidade do Estado do Rio de Janeiro, Instituto Politécnico)

  • Odair P. da Silva

    (Universidade do Estado do Rio de Janeiro, Instituto Politécnico)

  • Ricardo C. Barros

    (Universidade do Estado do Rio de Janeiro, Instituto Politécnico)

Abstract

In direct source–detector problems the use of the adjoint technique allows to obtain the detector response due to multiple sources by a single solution to the adjoint problem in each energy group. On the other hand, in inverse source–detector problems it is possible to calculate the intensity of the source in each energy group given its location and the detector response. This work is based on the application of the adjoint spectral Green’s function method (SGF†) for solving direct and inverse source–detector transport problems in the energy multigroup discrete ordinates formulation with arbitrary L′th-order of scattering anisotropy. The offered SGF† method along with the one-region block inversion iterative scheme generates numerical solutions that are completely free from spatial truncation errors; therefore, a spatial reconstruction scheme is developed to analytically determine the detector response in direct problems and source intensities in inverse problems.

Suggested Citation

  • Jesús P. Curbelo & Odair P. da Silva & Ricardo C. Barros, 2019. "The Adjoint Spectral Green’s Function Method Applied to Direct and Inverse Neutral Particle Source–Detector Problems," Springer Books, in: Christian Constanda & Paul Harris (ed.), Integral Methods in Science and Engineering, chapter 0, pages 111-121, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-16077-7_9
    DOI: 10.1007/978-3-030-16077-7_9
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