Diffusion equation boundary conditions for the interface between turbid media: A comment

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

Volumn 19, Issue 3, 2002, Pages 519-520

  Faris, Gregory W ^a  

^a SRI INTERNATIONAL   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; DIFFUSION; INTERFACES (MATERIALS); REFRACTIVE INDEX;

TURBID MEDIA;

TURBIDITY;

EID: 0042242573     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.19.000519     Document Type: Article

References (10)

1. S. A. Walker, D. A. Boas, and E. Gratton, "Photon density waves scattered from cylindrical inhomogeneities: theory and experiments," Appl. Opt. 37, 1935-1944 (1998) [see Eqs. (9)-(15)].
2. J(i) when expressed in the parameters used here.
3. R. Aronson, "Boundary conditions for diffusion of light," J. Opt. Soc. Am. A 12, 2532-2539 (1995) [see Eqs. (34)-(36)].
4. M. Gerken and G. W. Faris, "Frequency-domain immersion technique for accurate optical property measurements of turbid media," Opt. Lett. 24, 1726-1728 (1999).
5. R. C. Haskell, L. O. Svaasand, T.-T. Tsay, T.-C. Feng, M. S. McAdams, and B. J. Tromberg, "Boundary conditions for the diffusion equation in radiative transfer," J. Opt. Soc. Am. A 11, 2727-2741 (1994). See the paragraph beginning, "We mention in passing ..." (p. 2731). This expression is based incorrectly on the effective reflectance coefficient for the interface between a turbid medium and a transparent medium and has a sign error.
6. S. A. Walker, S. Fantini, and E. Gratton, "Effect of index of refraction mismatch on the recovery of optical properties of cylindrical inhomogeneities in an infinite turbid medium," in Optical Tomography and Spectroscopy of Tissue: Theory, Instrumentation, Model, and Human Studies II, B. Chance and R. R. Alfano, eds., Proc. SPIE 2979, 219-225 (1997) [see Eq. (6)].
7. The total flux and surface irradiance approaches are equivalent in the diffusion approximation. For higher-order approximations, the surface irradiance approach must be used. For example, the total flux balance expression in Eq. (7-4) of Ref. 8 is valid only in the diffusion approximation.
8. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978), Vol. 1.
9. M. Keijzer, W. M. Star, and P. R. M. Storchi, "Optical diffusion in layered media," Appl. Opt. 27, 1820-1824 (1988) [see Eq. (19)]. Note that Aronson's subsequent approximations [Ref. 3, Eqs. (38)] are more accurate than this result.
10. J. Ripoll and M. Nieto-Vesperinas, "Reflection and transmission coefficients for diffuse photon density waves," Opt. Lett. 24, 796-798 (1999).