Light transport in three-dimensional semi-infinite scattering media

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 29, Issue 7, 2012, Pages 1475-1481

  Liemert, André ^a   Kienle, Alwin ^a  

^a UNIVERSITY OF ULM MEDICAL SCHOOL   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

HARMONIC ANALYSIS; MONTE CARLO METHODS;

ANALYTICAL FUNCTIONS; BIOLOGICAL TISSUES; GENERAL SOLUTIONS; INTERNAL REFLECTIONS; LIGHT TRANSPORT; MONTE CARLO SIMULATION; SCATTERING MEDIA; SEMI-INFINITE MEDIA; SPHERICAL HARMONICS METHOD; THREE-DIMENSIONAL RADIATIVE TRANSFER; TWO-DIMENSIONAL FOURIER TRANSFORM;

THREE DIMENSIONAL;

EID: 84863740149     PISSN: 10847529     EISSN: 15208532     Source Type: Journal    
DOI: 10.1364/JOSAA.29.001475     Document Type: Article

References (20)

1. K. M. Case and P. F. Zweifel, Linear Transport Theory (Addison-Wesley, 1967).
2. E. D'Eon and G. Irving, "A quantized-diffusion model for rendering translucent materials", ACM Trans. Graph. 30, 56:1-56:12 (2011).
3. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, 1978).
4. A. Kienle and R. Hibst, "Light guiding in biological tissue due to scattering", Phys. Rev. Lett. 97, 018104 (2006).
5. B. Wilson and G. Adam, "A Monte Carlo model for the absorption and flux distributions of light in tissue", Med. Phys. 10, 824-830 (1983). (Pubitemid 14216131)
6. F. Martelli, S. Del Bianco, A. Ismaelli, and G. Zaccanti, Light Propagation Through Biological Tissue (SPIE, 2010).
7. P. S. Mohan, T. Tarvainen, M. Schweiger, A. Pulkkinen, and S. R. Arridge, "Variable order spherical harmonic expansion scheme for the radiative transport equation using finite elements", J. Comput. Phys. 230, 7364-7383 (2011).
8. 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, 1285-1302 (1998). (Pubitemid 28223570)
9. B. D. Ganapol, "Radiative transfer with internal reflection via the converge discrete ordinates method", J. Quant. Spectrosc. Radiat. Transfer 112, 693-713 (2011).
10. M. M. R. Williams, "The searchlight problem in radiative transfer with internal reflection", J. Phys. A Math. Theor. 40, 6407-6425 (2007).
11. V. A. Markel, "Modified spherical harmonics method for solving the radiative transport equation", Waves Random Complex Media 14, L13-L19 (2004).
12. A. Liemert and A. Kienle, "Radiative transfer in two-dimensional infinitely extended scattering media", J. Phys. A Math. Theor. 44, 505206 (2011).
13. G. Panasyuk, J. C. Schotland, and V. A. Markel, "Radiative transport equation in rotated reference frames", J. Phys. A Math. Gen. 39, 115-137 (2006). (Pubitemid 41807488)
14. M. Machida, G. Y. Panasyuk, J. C. Schotland, and V. A. Markel, "The Green's function for the radiative transport equation in the slab geometry", J. Phys. A Math. Theor. 43, 065402 (2010).
15. A. Liemert and A. Kienle, "Analytical approach for solving the radiative transfer equation in two-dimensional layered media", J. Quant. Spectrosc. Radiat. Transfer 113, 559-564 (2012).
16. A. Liemert and A. Kienle, "Green's functions for the two-dimensional radiative transfer equation in bounded media", J. Phys. A Math. Theor. 45, 175201 (2012).
17. S. R. Arridge, "Optical tomography in medical imaging", Inverse Probl. 15, R41-R93 (1999).
18. M. A. Blanco, M. Flórez, and M. Bermejo, "Evaluation of the rotation matrices in the basis of real spherical harmonics", J. Mol. Struct. 419, 19-27 (1997). (Pubitemid 127437818)
19. N. Baddour, "Operational and convolution properties of two-dimensional Fourier transforms in polar coordinates", J. Opt. Soc. Am. A 26, 1767-1777 (2009).
20. M. M. R. Williams, "The Milne problem with Fresnel reflection", J. Phys. A Math. Gen. 38, 3841-3856 (2005). (Pubitemid 41237093)