Publications on the Solution of Forward Problems
of Transport Theory and Radiative Transfer

N.J. McCormick

Department of Mechanical Engineering, University of Washington, Box 352600
Seattle, WA 98195-2600

I will send you a PDF file by email of any reprints you request to mccor@u.washington.edu 

Major Review Articles

N.J. McCormick and I. Kuscer, Singular Eigenfunction Expansions in Neutron Transport Theory, in Advances in Nuclear Science and Technology, Vol. 7, pp. 181-282 (E.J. Henley and J. Lewins, eds.), Academic Press, New York (1973).

R. Sanchez and N.J. McCormick, A Review of Neutron Transport Approximations, Nucl. Sci. Eng. 80,481-535 (1982).

Journal Publications

Orthogonality of Case's Eigenfunctions in One-Speed Transport Theory (with I. Kuscer and G.C. Summerfield), Annals of Physics 30, 411-421 (1964).

Transport Solution of the One-Speed Slab Albedo Problem (with M.R. Mendelson), Nuclear Science and Engineering 20, 462-467 (1964).

First Collision Probability of an Infinite Rectangular Cylinder, Nuclear Science and Engineering 21, 120 (1965).

Half-Space Neutron Transport with Linearly Anisotropic Scattering (with I. Kuscer), Journal of Mathematical Physics 6, 1939-1945 (1965).

On the Use of the Poincare-Bertrand Formula in Neutron Transport Theory (with I. Kuscer), Nuclear Science and Engineering 23, 404 (1965).

Bi-Orthogonality Relations for Solving Half-Space Transport Problems (with I. Kuscer), Journal of Mathematical Physics 7, 2036-2045 (1966).

Reciprocity in Time-Dependent Neutron Transport Theory (with I. Kuscer), Nuclear Society and Engineering 26, 522-529 (1966).

Equivalence of Special Models in Energy-Dependent Neutron Transport and Non-Grey Radiative Transfer (with J.C. Stewart and I. Kuscer), Annals of Physics 40, 321-333 (1966).

On the Formulae for Chandrasekhar's X- and Y-Functions in Thick Atmospheres, Astrophysical Journal 147, 816-817 (1967).

Half-Space Transport with Anisotropic Scattering, in Developments in Transport Theory (E. Inonu and P.F. Zweifel, ed.), Academic Press, pp. 323-329 (1967).

On an Exact Solution in the Theory of Line Formation in Stellar Atmospheres (with C.E. Siewert), Astrophysical Journal 149, 649-653 (1967).

Source Convergence in Monte Carlo Calculations (with L. L. Carter), Nuclear Science and Engineering 36, 438-441 (1969).

Neutron Transport for Anisotropic Scattering in Adjacent Half-Spaces: I. Theory, Nuclear Science and Engineering 37, 243-251 (1969).

Neutron Transport for Anisotropic Scattering in Adjacent Half-Spaces: II. Numerical Results (with R. J. Doyas), Nuclear Science and Engineering 37, 252-261 (1969).

Effect of Infinite Reflectors on Critical Slab Thicknesses (with R. J. Doyas), Nuclear Science and Engineering 37, 308-311 (1969).

Coupled Sampling with the Monte Carlo Method in Neutron Transport Calculations (with L. L. Carter), Nuclear Science and Engineering 39, 296-310 (1970).

One-Speed Transport Disadvantage Factor Calculations for General Anisotropic Scattering (with G. W. Eccleston, Jr.), Journal of Nuclear Energy 24, 23-34 (1970).

Radiation Heat Transfer in Ceramic Oxide Fuel Elements (with J. A. Stoddard), Nuclear Science and Engineering 39, 126-129 (1970).

Spectral Line Formation by Non-Coherent Scattering (with C.E. Siewert), Astrophysical Journal 162, 633-647 (1970).

Surface Densities and Currents in Half-Space Transport Problems (with I. Kuscer), Transport Theory and Statistical Physics 1, 1-4 (1971).

Energy-Dependent Transmissions and Reflection in Thin Slabs (with H. A. Larson), Transport Theory and Statistical Physics 1, 5-23 (1971).

Extrapolation Distance Calculations (with S. F. Su), Journal of Nuclear Energy 25, 657-658 (1971).

Neutron Transport for a Slab with a Degenerate Scattering Kernel (with H. A. Larson), Nuclear Science and Engineering 50, 10-19 (1973).

Transport Calculations for Light Scattering in Blood (with G. D. Pedersen and L. O. Reynolds), Biophysical Journal 16, 199-207 (1976).

An Approximate Two-Parameter Phase Function for Light Scattering (with L. O. Reynolds), Journal of the Optical Society of America 70, 1206-1212 (1980).

Some Analytical Results for Radiative Transfer in Thick Atmospheres (with I. Kuscer), Transport Theory and Statistical Physics 20, 351-381 (1991). [This was also published in Multiple Scattering in Plane Parallel Atmospheres and Oceans: Methods, G.W. Kattawar, ed., SPIE Milestone Series, Vol. MS42, 47-77 (1991).]

Particular Solutions for the Radiative Transfer Equation (with C.E. Siewert), Journal of Quantitative Spectroscopy and Radiative Transfer 46, 519-522 (1991).

Asymptotic Optical Attenuation, Limnology and Oceanography 37, 1570-1578 (1992).

A Particular Solution for Polarization Calculations in Radiative Transfer (with C.E. Siewert), Journal of Quantitative Spectroscopy and Radiative Transfer 50, 531-540 (1993).

Chlorophyll Concentration Effects on Asymptotic Optical Attenuation (with P.W. Francisco), Limnology and Oceanography 39, 3265-3275 (1994).

Ocean Optics Attenuation Coefficients: Local Versus Spatially Averaged (with N.K. Hoejerslev), Applied Optics 33, 7067-7069 (1994).

Mathematical Models for the Mean Cosine of Irradiance and the Diffuse Attenuation Coefficient, Limnology and Oceanography 40, 1013-1018 (1995).

Radiative Transfer Shape Factors For Ocean Optics (with P.W. Francisco), Applied Optics 34, 6248-6255 (1995).

Identities For The Chandrasekhar Polynomials In The Spherical Harmonics Radiative Transfer Method, Journal of Quantitative Spectroscopy and Radiative Transfer 54, 851-856 (1995) and "...: Corrigendum", ibid, 56, No. 5, p. I (1996).

Analytical Transport Theory Applications in Optical Oceanography, Annals of Nuclear Energy 23, 381-395 (1996).

Closed-Form Solutions for Transcendental Equations of Heat Transfer (with R.A. Leathers), Journal of Heat Transfer 118, 970-973 (1996).

Some Identities for Chandrasekhar Polynomials (with C.E. Siewert), Journal of Quantitative Spectroscopy and Radiative Transfer 57, 399-404 (1997).

Radiative Transfer Half-Space Problems by the Source Function Method (with B.D. Ganapol), Transport Theory and Statistical Physics 26, 507-532 (1997).

Ocean Scalar Irradiance Near-Surface Maxima (with R.A. Leathers), Limnology and Oceanography, 43, 982-986 (1998).

Approximate Scalar Equations for Polarized Radiative Transfer (with G.C. Pomraning), Journal of the Optical Society of America A 15, 1932-1939 (1998).

Design of an Integrating Cavity Absorption Meter (with D.M. Hobbs), Applied Optics 38, 456-461 (1999).

Isotropic Spherical Source Analysis for Ocean Optics (with A. Kaskas), Applied Optics 39, 4902-4910 (2000).

Ivan Kuscer (with N. Corngold ), Physics Today, pp. 63-64 (August 2000).

Memories of Ivan Kuscer 1918-2000, Annals of Nuclear Energy 27, 1535-1539 (2000).

Exact PN Method Solutions, Nuclear Science and Engineering, 137, 359-363 (2001).

Approximate polarization calculations with scalar radiative transfer theory (with T. Viik), Journal of Quantitative Spectroscopy and Radiative Transfer 74, 369-375 (2002).

Analytic beam spread function for ocean optics applications (with R. Sanchez), Applied Optics 41, 6276-6287 (2002).

Asymptotic optical depths in source-free ocean waters (with B. D. Piening), Appl. Opt. 42, 5382-5387 (2003).

Ivan Kuscer 1918-2000 (with P. F. Zweifel), Transport Theory and Statistical Physics 32, xv-xviii (2003).

Ivan Kuscer and Adriatic Sea optics, Transport Theory and Statistical Physics 32, 227-238 (2003).

Discrete ordinates solutions for highly forward-peaked scattering (with R. Sanchez), Nuclear Science and Engineering 147, 249-274 (2004).

Near-asymptotic angle dependence of ocean optical radiance (with A.H. Hakim and B.D. Piening), Applied Optics 43, 5825-5831 (2004).

Polarized radiation deep in an atmosphere (with T. Viik), Journal of Quantitative Spectroscopy and Radiative Transfer 96, 35-43 (2005).

Transport theory for optical oceanography, in Computational Methods in Transport, Granlibakken 2004, (F. Graziani, ed.) Springer-Verlag Berlin Heidelberg, pp. 151-163 (2006).


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