Modeling photon propagation in anisotropically scattering media with the equation of radiative transfer

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 4955, Issue , 2003, Pages 624-633

  Klose, Alexander D ^a   Hielscher, Andreas H ^a  

^a Och Spine at New York Presbyterian Hospitals   (United States)

Author keywords

Anisotropic scattering; Anisotropic source; Delta Eddington method; Discrete ordinates method; Equation of radiative transfer; Phase function; Tissue optics

Indexed keywords

ANISOTROPY; COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; LIGHT ABSORPTION; LIGHT PROPAGATION; OPTICS; PHOTONS; TISSUE;

ANISOTROPICALLY SCATTERING MEDIA; DELTA-EDDINGTON METHOD; EQUATION OF RADIATIVE TRANSFER; FINITE DIFFERENCE DISCRETE ORDINATES TECHNIQUE; PHASE FUNCTION; PHOTON PROPAGATION; TISSUE OPTICS;

LIGHT SCATTERING;

EID: 0345283230     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.478228     Document Type: Conference Paper

References (22)

1. S. R. Arridge, "Optical tomography in medical imaging," Inv. Prob. 15, pp. R41-R93, 1999.
2. A. H. Hielscher, A. D. Klose, and K. M. Hanson, "Gradient-based iterative image reconstruction scheme for time-resolved optical tomography," IEEE Trans. Med. Imag. 18(3), pp. 262-271, 1999.
3. S. Fantini, M. A. Franceschini, and E. Gratton, "Effective source term in the diffusion equation for photon transport in turbid media," Appl. Opt. 36(1), pp. 156-163, 1997.
4. A. H. Hielscher, R. E. Alcouffe, and R. L. Barbour, "Comparison of finite-difference transport and diffusion calculations for photon migration in homogeneous and heterogeneous tissues," Phys. Med. Biol. 43, pp. 1285-1302, 1998.
5. A. D. Kim and A. Ishimaru, "Optical diffusion of continuous-wave, pulsed, and density waves in scattering media and comparisons with radiative transfer," Appl. Opt. 37 (22), pp. 5313-5319, 1998.
6. V. Venugopalan, J. S. You, and B. J. Tromberg, "Radiative transport in the diffusion approximation: An extension for highly absorbing media and small source-detector separations," Phys. Rev. E 58(2), pp. 2395-2407, 1998.
7. R. Aronson and N. Corngold, "Photon diffusion coefficient in an absorbing medium," J. Opt. Soc. Am. A 16(5), pp. 1066-1071, 1999.
8. T. Spott and L. O. Svaasand, "Collimated light sources in the diffusion approximation," Appl. Opt. 39(34), pp. 6453-6465, 2000.
9. B. Chen, K. Stamnes, and J. J. Stamnes, "Validity of the diffusion approximation in bio-optical imaging," Appl. Opt. 40(34), pp. 6356-6366, 2001.
10. Z. Guo and S. Kumar, "Equivalent isotropic scattering formulation for transient short-pulse radiative transfer in anisotropic scattering planar media," Appl. Opt 39(24), pp. 4411-4417, 2000.
11. J. J. Duderstadt and W. R. Martin, Transport theory, John Wiley & Sons, New York, 1979.
12. E. E. Lewis and W. F. Miller, Computational Methods of Neutron Transport, John Wiley & Sons, New York, 1984.
13. B. G. Carlson and K. D. Lathrop, "Transport Theory - The Method of Discrete Ordinates," in Computing Methods in Reactor Physics, H. Greenspan, ed., pp. 166-266, Gordon and Breach, New York, 1968.
14. A. D. Klose and A. H. Hielscher, "Iterative reconstruction scheme for optical tomography based on the equation of radiative transfer," Med. Phys. 26 (8), pp. 1698-1707, 1999.
15. A. D. Klose, U. Netz, J. Beuthan, and A. H. Hielscher, "Optical tomography using the time-independent equation of radiative transfer. Part I: Forward model," J. Quant. Spectrosc. Radiat. Transf. 72(5), pp. 691-713, 2002.
16. A. D. Klose and A. H. Hielscher, "Fluorescence tomography with simulated data based on the equation of radiative transfer" Opt. Lett., in print, 2003.
17. R. A. J. Groenhuis, H. A. Ferwerda, and J. J. Ten Bosch, "Scattering and absorption of turbid materials determined from reflection measurements. 1: Theory," Appl. Opt. 22(16), pp. 2456-2462, 1983.
18. S. A. Prahl, M. J. C. van Gemert, and A. J. Welch. "Determining the optical properties of turbid media by using the adding-doubling method," Appl. Opt. 32(4), pp. 559-568, 1993.
19. L. H. Liu, L. M. Ruan, and H. P. Tan, "On the discrete ordinates method for radiative heat transfer in anisotropically scattering media," Int. J. Heat Mass. Transf. 45, pp. 3259-3262, 2002.
20. J. H. Joseph, W. J. Wiscombe, and J. A. Weinman, "The delta-Eddington approximation for radiative transfer," J. Atmos. Sci. 33, pp. 2452-2459, 1976.
21. B. H. J. McKellar and M. A. Box, "The scaling group of the radiative transfer equation," J. Atmos. Sci. 38, pp. 1063-1068, 1981.
22. A. H. Hielscher and R. E. Alcouffe, "Discrete-ordinates transport simulations of light propagation in highly forward scattering heterogeneous media," in OSA TOPS Vol 21 Advances in Optical Imaging and Photon Migration, J. G. Fujimoto and M. S. Patterson, eds., pp. 23-28, Optical Society of America, Washington DC, 1998.