The searchlight problem for neutrons in a semi-infinite medium

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The solution of the Search Light Problem for monoenergetic neutrons in a semi-infinite medium with isotropic scattering illuminated at the free surface is obtained by several methods at various planes within the medium. The sources considered are a normally-incident pencil beam and an isotropic point source. The analytic solution is effected by a recently developed numerical inversion technique applied to the Fourier-Bessel transform. This transform inversion results from the solution method of Rybicki, where the two-dimensional problem is solved by casting it as a variant of a one-dimensional problem. The numerical inversion process results in a highly accurate solution. Comparisons ... continued below

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Pages: (11 p)

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Ganapol, B.D. (Arizona Univ., Tucson, AZ (United States). Dept. of Nuclear and Energy Engineering); Nigg, D.W.; Jahshan, S.N. & Wemple, C.A. (EG and G Idaho, Inc., Idaho Falls, ID (United States)) January 1, 1993.

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Description

The solution of the Search Light Problem for monoenergetic neutrons in a semi-infinite medium with isotropic scattering illuminated at the free surface is obtained by several methods at various planes within the medium. The sources considered are a normally-incident pencil beam and an isotropic point source. The analytic solution is effected by a recently developed numerical inversion technique applied to the Fourier-Bessel transform. This transform inversion results from the solution method of Rybicki, where the two-dimensional problem is solved by casting it as a variant of a one-dimensional problem. The numerical inversion process results in a highly accurate solution. Comparisons of the analytic solution with results from Monte Carlo (MCNP) and discrete ordinates transport (DORT) codes show excellent agreement. These comparisons, which are free of any associated data or cross section set dependencies, provide significant evidence of the proper operation of both the transport codes tested.

Physical Description

Pages: (11 p)

Notes

OSTI; NTIS; INIS; GPO Dep.

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  • International topical meeting on mathematical methods and supercomputing in nuclear applications (M C+SNA '93), Karlsruhe (Germany), 19-23 Apr 1993

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  • Other: DE93010796
  • Report No.: EGG-M-92469
  • Report No.: CONF-930404--14
  • Grant Number: AC07-76ID01570
  • Office of Scientific & Technical Information Report Number: 6461441
  • Archival Resource Key: ark:/67531/metadc1205924

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

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  • January 1, 1993

Added to The UNT Digital Library

  • July 5, 2018, 11:11 p.m.

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  • Aug. 7, 2018, 4:35 p.m.

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Ganapol, B.D. (Arizona Univ., Tucson, AZ (United States). Dept. of Nuclear and Energy Engineering); Nigg, D.W.; Jahshan, S.N. & Wemple, C.A. (EG and G Idaho, Inc., Idaho Falls, ID (United States)). The searchlight problem for neutrons in a semi-infinite medium, article, January 1, 1993; United States. (digital.library.unt.edu/ark:/67531/metadc1205924/: accessed January 22, 2019), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.