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Volumn 147, Issue 3, 2004, Pages 249-274

Discrete ordinates solutions for highly forward peaked scattering

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; ASYMPTOTIC STABILITY; CALCULATIONS; DIFFERENTIAL EQUATIONS; FERMI LEVEL; INTEGRATION; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; PARTICLE BEAMS; POLYNOMIALS; PROBABILITY DISTRIBUTIONS; PROBLEM SOLVING; SCATTERING;

EID: 3242793407     PISSN: 00295639     EISSN: None     Source Type: Journal    
DOI: 10.13182/NSE04-A2432     Document Type: Review
Times cited : (14)

References (47)
  • 1
    • 0037145481 scopus 로고    scopus 로고
    • Analytic beam spread function for ocean optics applications
    • R. SANCHEZ and N. J. MCCORMICK, "Analytic Beam Spread Function for Ocean Optics Applications," Appl. Opt., 41, 6276 (2002).
    • (2002) Appl. Opt. , vol.41 , pp. 6276
    • Sanchez, R.1    Mccormick, N.J.2
  • 3
    • 36149020805 scopus 로고
    • Multiple scattering with energy loss
    • L. EYGES, "Multiple Scattering with Energy Loss," Phys. Rev., 74, 1534 (1948).
    • (1948) Phys. Rev. , vol.74 , pp. 1534
    • Eyges, L.1
  • 5
    • 0002121327 scopus 로고
    • Stochastic problems in physics and astronomy
    • S. CHANDRASEKHAR, "Stochastic Problems in Physics and Astronomy," Rev. Mod. Phys., 15, 1 (1943).
    • (1943) Rev. Mod. Phys. , vol.15 , pp. 1
    • Chandrasekhar, S.1
  • 6
    • 0020888995 scopus 로고
    • Solutions to inverse problems for the Boltzmann-Fokker-Planck equation
    • R. SANCHEZ and N. J. MCCORMICK, "Solutions to Inverse Problems for the Boltzmann-Fokker-Planck Equation," Transp. Theor. Stat. Phys., 12, 129 (1983).
    • (1983) Transp. Theor. Stat. Phys. , vol.12 , pp. 129
    • Sanchez, R.1    Mccormick, N.J.2
  • 8
    • 0020132570 scopus 로고
    • Numerical analysis of the Boltzmann equation including Fokker-Planck terms
    • I. PRZYBYLSKI and J. LIGOU, "Numerical Analysis of the Boltzmann Equation Including Fokker-Planck Terms," Nucl. Sci. Eng., 81, 92 (1982).
    • (1982) Nucl. Sci. Eng. , vol.81 , pp. 92
    • Przybylski, I.1    Ligou, J.2
  • 9
    • 0002202767 scopus 로고
    • The Fokker-Planck operator as an asymptotic limit
    • G. C. POMRANING, "The Fokker-Planck Operator as an Asymptotic Limit," Math. Models Meth. Appl. Sci., 2, 21 (1992).
    • (1992) Math. Models Meth. Appl. Sci. , vol.2 , pp. 21
    • Pomraning, G.C.1
  • 10
    • 77957806519 scopus 로고
    • Diffusive radiation in the galaxy
    • L. G. HENYEY and J. L. GREENSTEIN, "Diffusive Radiation in the Galaxy," Astrophys. J., 93, 70 (1941).
    • (1941) Astrophys. J. , vol.93 , pp. 70
    • Henyey, L.G.1    Greenstein, J.L.2
  • 11
    • 0029826018 scopus 로고    scopus 로고
    • On the accuracy of the Fokker-Planck and Fermi pencil beam equations for charged particle transport
    • C. BÖRGERS and E. W. LARSEN, "On the Accuracy of the Fokker-Planck and Fermi Pencil Beam Equations for Charged Particle Transport," Med. Phys., 23, 1749 (1996).
    • (1996) Med. Phys. , vol.23 , pp. 1749
    • Börgers, C.1    Larsen, E.W.2
  • 12
    • 0030190584 scopus 로고    scopus 로고
    • Asymptotic derivation of the Fermi pencil-beam approximation
    • C. BÖRGERS and E. W. LARSEN, "Asymptotic Derivation of the Fermi Pencil-Beam Approximation," Nucl. Sci. Eng., 123, 343 (1996).
    • (1996) Nucl. Sci. Eng. , vol.123 , pp. 343
    • Börgers, C.1    Larsen, E.W.2
  • 13
    • 0001565091 scopus 로고    scopus 로고
    • A non-gaussian treatment of radiation pencil beams
    • G. C. POMRANING, "A Non-Gaussian Treatment of Radiation Pencil Beams," Nucl. Sci. Eng., 127, 182 (1997).
    • (1997) Nucl. Sci. Eng. , vol.127 , pp. 182
    • Pomraning, G.C.1
  • 14
    • 2142853320 scopus 로고    scopus 로고
    • The pencil beam problem for screened Rutherford scattering
    • G. C. POMRANING and A. K. PRINJA, "The Pencil Beam Problem for Screened Rutherford Scattering," Nucl. Sci. Eng., 130, 1 (1998).
    • (1998) Nucl. Sci. Eng. , vol.130 , pp. 1
    • Pomraning, G.C.1    Prinja, A.K.2
  • 16
    • 0001974692 scopus 로고
    • The transversely integrated scalar flux of a narrowly focused particle beam
    • C. BÖRGERS and E. W. LARSEN, "The Transversely Integrated Scalar Flux of a Narrowly Focused Particle Beam," SIAM J. Appl. Math., 55, 1 (1995).
    • (1995) SIAM J. Appl. Math. , vol.55 , pp. 1
    • Börgers, C.1    Larsen, E.W.2
  • 17
    • 0031316488 scopus 로고    scopus 로고
    • The amplitude and radius of a radiation beam
    • E. W. LARSEN, "The Amplitude and Radius of a Radiation Beam," Transp. Theor. Stat. Phys., 26, 533 (1997).
    • (1997) Transp. Theor. Stat. Phys. , vol.26 , pp. 533
    • Larsen, E.W.1
  • 19
    • 0030289233 scopus 로고    scopus 로고
    • Higher order Fokker-Planck transport operators
    • G. C. POMRANING, "Higher Order Fokker-Planck Transport Operators," Nucl. Sci. Eng., 124, 390 (1996).
    • (1996) Nucl. Sci. Eng. , vol.124 , pp. 390
    • Pomraning, G.C.1
  • 20
    • 0035281404 scopus 로고    scopus 로고
    • Generalized Fokker-Planck approximations of particle transport with highly forward-peaked scattering
    • C. L. LEAKEAS and E. W. LARSEN, "Generalized Fokker-Planck Approximations of Particle Transport with Highly Forward-Peaked Scattering," Nucl. Sci. Eng., 137, 236 (2001).
    • (2001) Nucl. Sci. Eng. , vol.137 , pp. 236
    • Leakeas, C.L.1    Larsen, E.W.2
  • 21
    • 0026963710 scopus 로고
    • An asymptotic model for the spreading of a collimated beam
    • G. C. POMRANING, A. K. PRINJA, and J. W. VANDENBURG, "An Asymptotic Model for the Spreading of a Collimated Beam," Nucl. Sci. Eng., 112, 347 (1992).
    • (1992) Nucl. Sci. Eng. , vol.112 , pp. 347
    • Pomraning, G.C.1    Prinja, A.K.2    Vandenburg, J.W.3
  • 22
    • 0034687909 scopus 로고    scopus 로고
    • The search-light problem for radiative transfer in a finite slab
    • L. B. BARICHELLO and C. E. SIEWERT, "The Search-light Problem for Radiative Transfer in a Finite Slab," J. Comput. Phys., 157, 707 (2000).
    • (2000) J. Comput. Phys. , vol.157 , pp. 707
    • Barichello, L.B.1    Siewert, C.E.2
  • 23
    • 0001466608 scopus 로고    scopus 로고
    • Numerical evaluation of the three-dimensional searchlight problem in a half-space
    • D. E. KORNREICH and B. D. GANAPOL, "Numerical Evaluation of the Three-Dimensional Searchlight Problem in a Half-Space," Nucl. Sci. Eng., 127, 317 (1997).
    • (1997) Nucl. Sci. Eng. , vol.127 , pp. 317
    • Kornreich, D.E.1    Ganapol, B.D.2
  • 24
    • 3242799515 scopus 로고    scopus 로고
    • Analytical radiation transport benchmarks for the next century: Spherical geometry
    • B. D. GANAPOL, "Analytical Radiation Transport Benchmarks for the Next Century: Spherical Geometry," Trans. Am. Nucl. Soc., 86, 172 (2002).
    • (2002) Trans. Am. Nucl. Soc. , vol.86 , pp. 172
    • Ganapol, B.D.1
  • 25
    • 0019670732 scopus 로고
    • Fokker-Planck calculations using standard discrete ordinates transport codes
    • J. E. MOREL, "Fokker-Planck Calculations Using Standard Discrete Ordinates Transport Codes," Nucl. Sci. Eng., 79, 340 (1981).
    • (1981) Nucl. Sci. Eng. , vol.79 , pp. 340
    • Morel, J.E.1
  • 26
    • 0022011808 scopus 로고
    • An improved Fokker-Planck angular differencing scheme
    • J. E. MOREL, "An Improved Fokker-Planck Angular Differencing Scheme," Nucl. Sci. Eng., 89, 131 (1985).
    • (1985) Nucl. Sci. Eng. , vol.89 , pp. 131
    • Morel, J.E.1
  • 27
    • 0024303934 scopus 로고
    • N method for solving the Boltzmann transport equation
    • N Method for Solving the Boltzmann Transport Equation," Nucl. Sci. Eng., 101, 72 (1989).
    • (1989) Nucl. Sci. Eng. , vol.101 , pp. 72
    • Morel, J.E.1
  • 29
    • 0002940873 scopus 로고
    • Spherical harmonics solutions of the neutral transport equation from discrete ordinate codes
    • W. H. REED, "Spherical Harmonics Solutions of the Neutral Transport Equation from Discrete Ordinate Codes," Nucl. Sci. Eng., 49, 10 (1972).
    • (1972) Nucl. Sci. Eng. , vol.49 , pp. 10
    • Reed, W.H.1
  • 30
    • 0026137931 scopus 로고
    • N equations with highly forward-peaked scattering
    • N Equations with Highly Forward-Peaked Scattering," Nucl. Sci. Eng., 107, 330 (1991).
    • (1991) Nucl. Sci. Eng. , vol.107 , pp. 330
    • Morel, J.E.1    Manteuffel, T.A.2
  • 32
    • 0000064433 scopus 로고
    • Diffusion-synthetic acceleration given anisotropic scattering, general quadratures and multidimensions
    • M. L. ADAMS and T. A. WAREING, "Diffusion-Synthetic Acceleration Given Anisotropic Scattering, General Quadratures and Multidimensions," Trans. Am. Nucl. Soc., 68, 203 (1993).
    • (1993) Trans. Am. Nucl. Soc. , vol.68 , pp. 203
    • Adams, M.L.1    Wareing, T.A.2
  • 34
    • 0001153285 scopus 로고    scopus 로고
    • Use of point spread and beam spread functions for analysis of imaging systems in water
    • L. E. MERTENS and F. S. REPLOGE, Jr., "Use of Point Spread and Beam Spread Functions for Analysis of Imaging Systems in Water," J. Opt. Soc. Am., 67, 1105 (1997).
    • (1997) J. Opt. Soc. Am. , vol.67 , pp. 1105
    • Mertens, L.E.1    Reploge Jr., F.S.2
  • 35
    • 0025537959 scopus 로고
    • Recursive calculation of time-dependent multiple forward scattering: Comparison between small-angle approximation and exact model
    • Propagation Engineering: Third in a series, L. R. BISSONNETTE and W. B. MILLER, Eds
    • K. ALTMANN, "Recursive Calculation of Time-Dependent Multiple Forward Scattering: Comparison Between Small-Angle Approximation and Exact Model," Propagation Engineering: Third in a series, L. R. BISSONNETTE and W. B. MILLER, Eds., SPIE, 1312, 14 (1990).
    • (1990) SPIE , vol.1312 , pp. 14
    • Altmann, K.1
  • 36
    • 84975664154 scopus 로고
    • Point spread function in ocean water: Comparison between theory and experiment
    • J. W. MCLEAN and K. J. VOSS, "Point Spread Function in Ocean Water: Comparison Between Theory and Experiment," Appl. Opt., 30, 2027 (1991).
    • (1991) Appl. Opt. , vol.30 , pp. 2027
    • Mclean, J.W.1    Voss, K.J.2
  • 37
    • 0028491310 scopus 로고
    • Exact spread function for a pulsed collimated beam in a medium with small-angle scattering
    • H. C. VAN DE HULST and G. W. KATTAWAR, "Exact Spread Function for a Pulsed Collimated Beam in a Medium with Small-Angle Scattering," Appl. Opt., 33, 5820 (1994).
    • (1994) Appl. Opt. , vol.33 , pp. 5820
    • Van De Hulst, H.C.1    Kattawar, G.W.2
  • 38
    • 0001164190 scopus 로고
    • Measurement of the point spread function in the ocean
    • K. J. VOSS and A. L. CHAPIN, "Measurement of the Point Spread Function in the Ocean," Appl. Opt., 29, 3638 (1990).
    • (1990) Appl. Opt. , vol.29 , pp. 3638
    • Voss, K.J.1    Chapin, A.L.2
  • 39
    • 84975598796 scopus 로고
    • Simple empirical model of the oceanic point spread function
    • K. J. VOSS, "Simple Empirical Model of the Oceanic Point Spread Function," Appl. Opt., 30, 2647 (1991).
    • (1991) Appl. Opt. , vol.30 , pp. 2647
    • Voss, K.J.1
  • 43
    • 0033728123 scopus 로고    scopus 로고
    • On the singular structure of the uncollided and first-collided components of the Green's function
    • R. SANCHEZ, "On the Singular Structure of the Uncollided and First-Collided Components of the Green's Function," Ann. Nucl. Energy, 27, 1167 (2000).
    • (2000) Ann. Nucl. Energy , vol.27 , pp. 1167
    • Sanchez, R.1
  • 47
    • 0035418962 scopus 로고    scopus 로고
    • A transport condensed history algorithm for electron Monte Carlo simulations
    • D. R. TOLAR, Jr. and E. W. LARSEN, "A Transport Condensed History Algorithm for Electron Monte Carlo Simulations," Nucl. Sci. Eng., 139, 47 (2001).
    • (2001) Nucl. Sci. Eng. , vol.139 , pp. 47
    • Tolar Jr., D.R.1    Larsen, E.W.2


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