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. Kuščer 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. Kuščer), Journal of Mathematical Physics 6, 1939-1945 (1965).

On the use of the Poincare-Bertrand formula in neutron transport theory (with I. Kuščer), Nuclear Science and Engineering 23, 404 (1965).

Bi-orthogonality relations for solving half-space transport problems (with I. Kuščer), Journal of Mathematical Physics 7, 2036-2045 (1966).

Reciprocity in time-dependent neutron transport theory (with I. Kuščer), 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. Kuščer), 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. Kuščer), 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. Kuščer), 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. Højerslev), 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 Kuščer (with N. Corngold ), Physics Today, pp. 63-64 (August 2000).

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

Ivan Kuščer 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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