Conference Proceedings on the Solution of Inverse 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


(Note: Paper numbers in the descriptions refer to those on the Journal Publications page.)

C1.   N.J. McCormick, "Transport methods for estimating single-scattering coefficients from remote or in-situ multiply-scattered radiance measurements', Proceedings of the Chemical Research and Development Center's 1984 Scientific Conference on Obscuration and Aerosol Research (R.H. Kohl and D. Stroud, eds.), CRDC-SP-85007, pp. 495-504 (June, l985).

This provides additional sets of inverse equations for cases where the external illumination cannot be made symmetric with respect to some azimuthal reference angle (see also paper 13), summarizes paper 15 and gives preliminary results from numerical tests that generalize paper 9.

C2.   N.J. McCormick, "Inverse methods for multiple scattering problems," J. Opt. Soc. Am. A2 (13), P60 (1985).

This invited talk summarizes some of the work in papers 16 and 17.

C3.   T. Duracz and N.J. McCormick, "Analytical error estimates for the time-dependent radiative transfer inverse method for estimating single-scattering parameters," Proceedings of the International Conference on Optical and Millimeter Wave Propagation and Scattering in the Atmosphere (May 27-30, 1986 in Florence, Italy), 239-242 (1986).

This provides a summary of part of the work in paper 20.

C4.   R.A. Elliott, N.J. McCormick, and T. Duracz, "Preliminary experimental test of the time-dependent radiative transfer inverse method for estimating single-scattering parameters," Proceedings of the International Conference on Optical and Millimeter Wave Propagation and Scattering in the Atmosphere (Florence, Italy), 243-246 (1986).

This provides a preliminary summary of the work in paper 23.

C5.   T. Duracz and N.J. McCormick, "Effect of Incident Pulse Width on Parameters Estimated with the Time-Dependent Inverse Transport Method," J. Opt. Soc. Am. A (13), P65 (1986).

This provides a preliminary report of the work in paper 22.

C6.   T. Duracz and N.J. McCormick, "Radiative transfer calculations for detecting a target behind obscuring atmospheres," Proceedings of the 1987 Chemical Research, Development and Engineering Center Conference on Obscuration and Aerosol Research (E.H. Engquist and K.A. Sistek, eds.), CRDEC-SP-88031, 395-399 (Oct. 1988).

This provides the first report characterizing the optical depths and/or surface albedos for which an external detector measuring the emerging irradiance could not detect the presence of an object obscured by the atmosphere. The work was later generalized in paper 24.

C7.   R.A. Elliott, T. Duracz, and N.J. McCormick, "Experimental test of a time-dependent inverse scattering algorithm," Proceedings of the 1987 Chemical Research, Development and Engineering Center Conference on Obscuration and Aerosol Research (E.H. Engquist and K.A. Sistek, eds.), CRDEC-SP-88031, 581-589 (Oct. 1988).

This provides a preliminary report of the work in paper 23.

C8.   N.J. McCormick, "Algorithms for solving inverse problems of transport theory," Trans. Am. Nucl. Soc. 56, 254-255 (1988).

This categorizes inverse transport problems in the context of inverse problems in general.

C9.   N.J. McCormick, "Mathematical inversion algorithms for optically-thick remote sensing applications," in RSRM '87: Advances in Remote Sensing Retrieval Methods, (A. Deepak, H.E. Fleming, and J.S. Theon, eds.), A. Deepak (Hampton, VA), 135-142 (1989).

This summarizes some of the work in papers 17 and 23.

C10.  N.J. McCormick, "Radiative transfer algorithms for underwater sensing applications," OSA Annual Meeting, 1989 Technical Digest Series, (Optical Society of America) Vol. 18, abstract TUNN5 (1989).

This summarizes some of the work in papers 26 and 27.

C11.  N.J. McCormick, "Particle size distribution estimation from inverse radiative transfer measurements," in Digest of Topical Meeting on Optical Remote Sensing of the Atmosphere, 1990, (Optical Society of America), Vol. 4, 292-295 (1990).

This discusses a standard particle sizing algorithm and suggests that measurements of the polarized time-dependent backscattered normally-directed radiance long after a pulse illuminates an optically-thick medium might be useful for particle sizing.

C12.  N.J. McCormick, R. Sanchez, and H.C. Yi, "Marine bioluminescence estimation algorithms for in situ irradiance measurements," in Ocean Optics X (R.W. Spinrad, ed.), SPIE -- The International Society for Optical Engineering, Vol. 1302, 38-48 (1990).

This gives two algorithms (one the particle conservation equation and the other a quadratic-radiance equation) for estimating the source strength from irradiance and scalar irradiance measurements.

C13.  N.J. McCormick, "Inverse Radiative Transfer Algorithms for Estimating a Particle Size Distribution," in Modern Mathematical Methods in Transport Theory, W. Greenberg and J. Polewczak, eds., Birkhauser Verlag, Basel, pp. 208-214 (1990).

This is a preliminary version of the work in paper 28.

C14.  N.J. McCormick and Z. Tao, "Algorithms for bioluminescence estimation," Optical Society of America 1991 Technical Digest Series, 17, 172 (1991).

This is a preliminary version of the work in paper 32.

C15.  Z. Tao and N.J. McCormick , "Bioluminescence estimation using explicit and implicit algorithms," in Ocean Optics XI (G.D. Gilbert, ed.), SPIE -- The International Society for Optical Engineering, Vol. 1750, pp. 126-137 (1992).

This is a preliminary version of the work in paper 32.

C16.  N.J. McCormick, "Inverse photon transport methods for biomedical applications," in Inverse Problems in Engineering: Theory and Practics (N. Zabaras, K. Woodbury, and M. Raynaud, eds.), American Society of Mechanical Engineers, pp. 253-258 (1993).

This is a summary of work done by others in the time frame of 1989-1993.

C17.  N.J. McCormick, "Source estimation in inverse radiative transfer problems," in Advances in Optical Imaging and Photon Migration, Technical Digest, Optical Society of America (March 21-23, 1994; Orlando, FL), pp. 46-49 (1994).

This algorithm enables one to estimate one or two parameters describing the spatial distribution within a homogeneous medium of known optical properties from measurements of the lowest two angular moments of the radiance on the boundaries of the medium.

C18.  L.J. Holl and N.J. McCormick, "Inherent optical property estimation using the Zaneveld-Wells Algorithm," in Ocean Optics XII (J.S. Jaffe, ed.) SPIE -- The International Society for Optical Engineering, Vol. 2258, pp. 2-11 (1994).

This is a preliminary version of the work in paper 35.

C19.  N.J. McCormick, "Ocean source estimation using irradiance measurements at only one depth," in Ocean Optics XII (J.S. Jaffe, ed.) SPIE -- The International Society for Optical Engineering, Vol. 2258, pp. 711-722 (1994).

This algorithm enables one to estimate up to four parameters describing the spatial distribution within a homogeneous medium of known optical properties from measurements of the ingoing and outgoing lowest two angular moments of the radiance at the boundaries of the medium.

C20.  Z. Tao and N.J. McCormick, "Scalar irradiance estimation from downward and upward irradiance measurements," in Ocean Optics XII (J.S. Jaffe, ed.) SPIE -- The International Society for Optical Engineering, Vol. 2258, pp. 850-860 (1994).

This algorithm is for estimating the lowest angular moment of the radiance and a second parameter such as a source or absorption coefficient using measurements of the ingoing and outgoing first moments of the radiance on the boundaries of the medium.

C21.  N.J. McCormick and L.J. Holl, "Inverse radiative source algorithm for nuclear nondestructive assays," in International Conference on Mathematics and Computations, Reactor Physics, and Environmental Analyses, American Nuclear Society, pp. 1306-1313 (1995).

This algorithm is similar to that discussed in conference paper C19 and is for estimating two coefficients of the spatial distribution of a radioactive source in a slab medium from measurements of only the ingoing and outgoing partial currents at the slab surfaces.

C22.  L.J. Holl and N.J. McCormick, "Explicit inverse radiative transfer algorithm for estimating embedded sources from external radiance measurements," in Experimental and Numerical Methods for Solving Ill-Posed Inverse Problems: Medical and Non-Medical Applications (R.L. Barbour, M.J. Carvlin, and M.A. Fiddy, eds.), SPIE -- The International Society for Optical Engineering, Vol. 2570, pp. 50-58 (1995).

This algorithm is for a homogeneous medium with a spatially-dependent source in the interior of a medium with known optical properties. General boundary conditions as well as anisotropic sources can be treated.

C23.  R.A. Leathers and N.J. McCormick, "Absorption and Scattering Coefficient Estimation with Asymptotic Apparent Optical Properties," in Ocean Optics XIII (S.G. Ackleson and R. Frouin, eds.), SPIE -- The International Society for Optical Engineering, Vol. 2963, pp. 21-25 (1997).

This paper presents preliminary numerical tests for implementing the absorption and backscattering coefficients from downward and upward irradiance measurements at asymptotic depths using an algorithm described in Ref. 36; additional tests are in Ref. 37.

C24.  N.J. McCormick and R.A. Leathers, "Radiative Transfer in the Near-Asymptotic Regime," in IRS '96: Current Problems in Atmospheric Radiation (W.L. Smith and K. Stamnes, eds.), A. Deepak Publ. (Hampton, VA), 826-829 (1997).

This paper presents a summary of analytical results from references 36 and 18 and preliminary numerical tests related to work generalized in paper 39.

C25.  N.J. McCormick, "Analytical Solutions for Inverse Radiative Transfer Optical Estimation," in HTD-Vol. 353, Proceedings of the ASME Heat Transfer Division, American Society of Mechanical Engineers, pp. 367-371 (1997).

An overview is given of analytical algorithms for estimating the optical properties of a homogeneous slab or a homogeneous optically-thin, convex-shaped medium.

C26.  N.J. McCormick, "Inverse Particle Transport: Review of Recent Analysis and Applications," in Mathematics and Computation, Reactor Physics and Environmental Analysis and Applications, American Nuclear Society, M & C '99 Madrid, Vol. 1, pp. 467-473 (1999).

This paper provides a general overview of different approaches for solving inverse problems and summarizes recent literature since 1992.

C27.  N.J. McCormick, "Inverse Problems: Methods and Applications," in Tendencias em Matematica Aplicada e Computacional,  Vol. 2, 1-12 (2001), [Sociedade Brasileira de Matematica Aplicada e Computacional].

This paper provides a general overview of different approaches for solving inverse problems in several engineering fields.

C28.  A.J. da Silva Neto and N.J. McCormick, "An Explicit Formulation Based on the Moments of the Exit Radiation Intensity for the 1D Inverse Radiative Transfer Problem," 4th International Conference on Inverse Problems in Engineering: Theory and Practice (ICIPE-2002), May 26-31, Angra dos Reis, Proceedings Book: Inverse Problems in Engineering: Theory and Practice (Helcio R. B.Orlande, ed.), Vol II, pp. 347-354 (2002) Rio de Janeiro, Brazil.

This paper uses the method of paper 3 but includes the effects of internal reflection, which require a modification of the data taken outside the medium.

C29.  N. J. McCormick, “Analytic inverse transport algorithms,” 18th International Conference on Transport Theory (18 ICTT), Rio de Janeiro, RJ, Brazil, July 20-25, 2003, pp. 150-153.

Four different algorithms consisting of sets of inverse equations are examined for determining the single scattering albedo and Legendre expansion coefficient of the phase function in a spatially uniform plane geometry medium.

C30.  R. Sanchez and N. J. McCormick, “Inverse source problems in linear transport theory,” Trans. Am. Nucl. Soc. 95, 523-524 (2006).

This is a preliminary version of the work in paper 32.


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