The Searchlight Problem for Radiative Transfer in a Finite Slab

Journal of Computational Physics

Volumn 157, Issue 2, 2000, Pages 707-726

  Barichello, L B ^a   Siewert, C E ^b  

^a FEDERAL UNIVERSITY OF RIO GRANDE DO SUL   (Brazil)

^b NORTH CAROLINA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FOURIER TRANSFORMS; LINEAR ALGEBRA; NUMERICAL METHODS; RADIATIVE TRANSFER;

'CURRENT; DISCRETE ORDINATES METHOD; FINITE PLANE; FINITE SLAB; NUMERICAL LINEAR ALGEBRA; OBLIQUE ANGLES; RADIATION FLUXES; RADIATIVE TRANSFER CALCULATIONS; SPATIAL VARIABLES; TWO-DIMENSIONAL FOURIER TRANSFORMS;

SEARCHLIGHTS;

EID: 0034687909     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1999.6396     Document Type: Article

References (24)

1. Chandrasekhar S. On the diffuse reflection of a pencil of radiation by a plane-parallel atmosphere. Proc. Nat. Acad. Sci. 44:1958;933.
2. Elliott J. P. Milne's problem with a point-source. Proc. R. Soc. London A. 228:1955;424.
3. Rybicki G. B. The searchlight problem with isotropic scattering. J. Quant. Spectrosc. Radiat. Transfer. 11:1971;827.
4. Siewert C. E., Dunn W. L. On inverse problems for plane-parallel media with nonuniform surface illumination. J. Math. Phys. 23:1982;1376.
5. Siewert C. E., Dunn W. L. Radiation transport in plane-parallel media with non-uniform surface illumination. Z. Angew. Math. Phys. 34:1983;627.
6. Dunn W. L., Siewert C. E. The searchlight problem in radiation transport: Some analytical and computational results. Z. Angew. Math. Phys. 36:1985;581.
7. Siewert C. E. On the singular components of the solution to the searchlight problem in radiative transfer. J. Quant. Spectrosc. Radiat. Transfer. 33:1985;551.
8. Siewert C. E., Dunn W. L. The searchlight problem in radiative transfer. J. Quant. Spectrosc. Radiat. Transfer. 41:1989;467.
9. Ganapol B. D., Kornreich D. E., Dahl J. A., Nigg D. W., Jahshan S. N., Wemple C. A. The searchlight problem for neutrons in a semi-infinite medium. Nucl. Sci. Eng. 118:1994;38.
10. Kornreich D. E., Ganapol B. D. Numerical evaluation of the three-dimensional searchlight problem in a half-space. Nucl. Sci. Eng. 127:1997;317.
11. N) method in particle transport theory. Transp. Theory Stat. Phys. 14:1985;391.
12. Barichello L. B., Siewert C. E. A discrete-ordinates solution for a non-grey model with complete frequency redistribution. J. Quant. Spectrosc. Radiat. Transfer. 62:1999;665.
13. Barichello L. B., Garcia R. D. M., Siewert C. E. Particular solutions for the discrete-ordinates method. J. Quant. Spectrosc. Radiat. Transfer. 64:2000;219.
14. Williams M. M. R. The three-dimensional transport equation with applications to energy deposition and reflection. J. Phys. A. 15:1982;965.
15. Williams M. M. R. Diffusion length and criticality problems in two- and three-dimensional one-speed neutron transport theory. II. Circular cylindrical coordinates. J. Math. Phys. 9:1968;1885.
16. Williams M. M. R. Approximate solutions of the neutron transport equation in two and three dimensional systems. Nukleonik. 9:1967;305.
17. Golub G. H., van Loan C. F. Matrix Computations. 1989.
18. Siewert C. E., Wright S. J. Efficient eigenvalue calculations in radiative transfer. J. Quant. Spectrosc. Radiat. Transfer. 62:1999;685.
19. Chandrasekhar S. Radiative Transfer. 1950.
20. P. Nelson, personal communication, 1999.
21. Abramowitz M., Stegun I. A. Handbook of Mathematical Functions. 1964.
22. Longman I. M. Note on a method for computing infinite integrals of oscillatory functions. Proc. Camb. Phil. Soc. 52:1956;764.
23. I'a Bromwich T. J. An Introduction to the Theory of Infinite Series. 1991.
24. Dongarra J. J., Bunch J. R., Moler C. B., Stewart G. W. LINPACK User's Guide. 1979.