Abstract
Fourier and other integral transform techniques are used to reduce the problem of radiation transport in plane-parallel media with non-uniform surface illumination to a convenient computational form, and theF N method is used to provide a basis for approximate solutions.
Zusammenfassung
Fourier- und andere Integral-Transformationen werden benützt, um das Problem des Strahlungstransportes in planparallelen Medien mit ungleichförmiger Flächenbeleuchtung der numerischen Rechnung zugänglich zu machen. DieF N -Methode wird als Grundlage einer praktischen Näherung benützt.
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References
C. E. Siewert and W. L. Dunn, J. Math. Phys.23, 1376 (1982).
G. B. Rybicki, J. Quant. Spectrosc. Radiat. Transfer,11, 827 (1971).
M. M. R. Williams, J. Phys. A: Math. Gen.,15, 965 (1982).
N. I. Muskhelishvili,Singular Integral Equations, Noordhoff, Groningen, The Netherlands 1953.
L. V. Ahlfors,Complex Analysis, McGraw Hill, New York 1953.
C. E. Siewert and P. Benoist, Nucl. Sci. Eng.,69, 156 (1979).
C. Devaux, P. Grandjean, Y. Ishiguro, and C. E. Siewert, Astrophys. Space Sci.,62, 225 (1979).
R. D. M. Garcia and C. E. Siewert, Nucl. Sci. Eng.,78, 315 (1981).
M. Abramowitz and I. A. Stegun, eds.,Handbook of Mathematical Functions, U.S. Govt. Printing Office, Washington (1964).
I. M. Longman, Proc. Cambridge Phil. Soc.,52, 764 (1956).
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Siewert, C.E., Dunn, W.L. Radiation transport in plane-parallel media with non-uniform surface illumination. Z. angew. Math. Phys. 34, 627–641 (1983). https://doi.org/10.1007/BF00948806
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DOI: https://doi.org/10.1007/BF00948806