Split operator solution of the time-dependent Maxwell's equations for random scatterers

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 4536, Issue , 2002, Pages 245-252

  Su, Q ^a   Mandel, S ^a   Menon, S ^a   Grobe, R ^a  

^a ILLINOIS STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FAST FOURIER TRANSFORMS; FINITE DIFFERENCE METHOD; LIGHT PROPAGATION; LIGHT SCATTERING; MAXWELL EQUATIONS; MONTE CARLO METHODS; SPECTRUM ANALYSIS; TIME DOMAIN ANALYSIS;

RANDOM SCATTERERS;

MEDICAL IMAGING;

EID: 0036398222     PISSN: 0277786X     EISSN: None     Source Type: Journal    
DOI: 10.1117/12.462558     Document Type: Article

References (22)

1. S. Chandrasekhar, Radiative transfer (University Clarendon Press, Oxford, 1950).
2. A. Yodh and B. Chance, "Spectroscopy and imaging with diffusing light", Phys. Today 48, No. 3, 34 (1995).
3. A. Madelis, "Diffusion waves and their uses", Phys. Today 53, No. 8, 29 (1995).
4. B.B. Das, F. Liu and R.R. Alfano, "Time resolved fluorescence and photon migration studies in biomedical and model random media", Rep. Prog. Phys. 60, 227 (1997).
5. A. Ishimaru, Wave propagation and scattering in random media, Vols. 1 and 2 (Academic, New York, 1978).
6. For nice reviews and Monte Carlo programs, see, e.g., http://omlc.ogi.edu/software/mc/.
7. J. Fishkin and E. Gratton, "Propagation of photon density waves in strongly scattering media containing an absorbing semi-infinite plane bounded by a straight edge", JOSA A 10, 127 (1993).
8. K.S. Kurtz and R.J. Luebbers, The FDTD method for Electromagnetics (CRC Press LLC, Boca Raton, 1993).
9. A. Tavlove, Computational electrodynamics the finite-difference time-domain method (Artech House, Norwood, 1995).
10. W. Harshawardhan, Q. Su and R. Grobe, "Numerical solution of the time-dependent Mawell's equations for random dielectric media", Phys. Rev. E 62, 8705 (2000).
11. M.D. Feit, J.A. Fleck, Jr., and A. Steiger, "Solution of the Schröinger equation by a spectral method", J. Comput. Phys. 47, 412 (1982).
12. A.D. Bandrauk and H. Shen, "Exponential split operator methods for solving coupled time dependent Schrödinger equations", J. Chem. Phys. 99, 1185 (1993).
13. Q.H. Liu, "The PSTD algorithm: a time domain method requiring only two cells per wavelength ", Microwave and Opt. Tech. Lett. 15, 158 (1997).
14. M. Born and E. Wolf, Principles of Optics (Pergamon Press, Oxford, 1980).
15. For computer movies of lasers in random scattering media, see our web site: http://www.phy.ilstu.edu/ILP/movies.
16. Q. Su, G.H. Rutherford, W. Harshawardhan and R. Grobe, "Non-diffusive behavior of laser beams in a highly scattering medium", Las. Phys. 11, 94 (2001).
17. M.J.C. van Gamert, A.J. Wells and W.M. Star, Chp. 3 in Optical-thermal response of laser-irradiated tissue, eds, A.J. Wells and M.J.C. van Gamert (Plenum, New York, 1995).
18. For a review on the spectral properties of 1D random lattices, see, e.g., T.M. Nieuwenhuizen, "Exact electronic spectra and inverse localization length in one-dimensional random systems", Physica 120A, 468 (1983) and "Exact solutions for spectra and Green's functions in random one-dimensional systems", Physica 125 A, 197 (1984).
19. For a review on the spectral properties of 1D random lattices, see, e.g., T.M. Nieuwenhuizen, "Exact electronic spectra and inverse localization length in one-dimensional random systems", Physica 120A, 468 (1983) and "Exact solutions for spectra and Green's functions in random one-dimensional systems", Physica 125 A, 197 (1984).
20. G.H. Rutherford, M. Marsalli, Q. Su and R. Grobe, "A permrbative approach to photon propagation in turbid media", Las. Phys., in press.
21. P.J. Peverly, R.E. Wagner, G.H. Rutherford, M. Marsalli, Q. Su, and R. Grobe, "Photon density waves in macro- and microscopic plane parallel scattering samples", Phys. Rev. E, submitted.
22. S. Menon, Q. Su and R. Grobe, "Comparison of the Maxwell and Boltzmann theory for multilayered dielectric random media", Phys. Rev. E, submitted.