Properties of Phase Functions for Biological Materials with Properties of Composite Materials and their High-Order Parameters


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Biological materials with properties of composite materials are complex, phase function can describe the complexity. Several phase functions and their high-order parameters were discussed. The results demonstrate that: single HG(Henyey-Greenstein) phase function can not describe the scattering of real biological material, the high-order parameters are dependent on the first-order parameter; Mie phase function can provide theorical reference for scattering chart of biological material although the function is complex;Tissue phase function can picture scattering for most biological materials and the form is simpleness, the high-order parameters are independent and relate to the micro-structures of biological material. it is necessary of selecting appropriate phase function for applied technology of medical diagnosis and measurement of optical parameters.



Edited by:

B. Xu and H.Y. Li




X. J. Zhang et al., "Properties of Phase Functions for Biological Materials with Properties of Composite Materials and their High-Order Parameters", Advanced Materials Research, Vol. 583, pp. 66-70, 2012

Online since:

October 2012




[1] Michael. S. Patterson, B. Chance, and B. C. Wilson.: Time resolved reflectance and transmittance for the non-invasive measurement of tissue optical properties. Appl. Opt. 28(12) (1989), 2331-2336.


[2] Wai-Fung Cheong, Scott A. Prahl, and Ashley J. Welch.: A review of the optical properties of biological tissues. IEEE of Quantum Electronics. 26(12) (1990), 2166-2185.


[3] Alwin Kienle, Michael S. Patterson.: Improved solutions of the steady state and the time-resolved diffusion equation for reflectance from a semi-infinite turbid medium. J. Opt. Soc. Am.A. 14(1) (1997), 246-254.


[4] Wei Gong, Ke Si, and Colin J. R. Sheppard.: Modeling phase functions in biological tissue. Opt. Lett. 33(14)(2008), 1599-1601.


[5] F. Bevilacqua, D. Piguet, P. Marquet, J.D. Gross, B.J. Tromberg, and C. Depeursinge.: In vivo local determination of tissue optical properties: application to human brain. Appl. Opt. 38(22) (1999), 4939-4950.


[6] Alwin Kienle, Florian K. Forster, and Raimund Hibst.: Influence of the phase function on determination of the optical properties of biological tissue by spatially resolved reflectance. Opt. Lett. 26(20) (2001), 1571-1573.


[7] L.G. Henyey and J.L. Greenstein. Diffuse radiation in the galaxy. Astrophys.J. 93(1941), 70-83.

[8] R. Marchesini, A. Bertoni, S. Andreola, E. Melloni, and A.E. Sichirollo.: Extinction and absorption coefficients and scattering phase functions of human tissues in vitro. Appl. Opt. 28(12) (1989), 2318-2324.


[9] T. Dominique.: Henyey-Greenstein and Mie phase functions in Monte Carlo radiative transfer computations. Appl. Opt. 35(18) (1996), p.3270.


[10] Qing-Hua Wang, Ying-Ying Zhang, Jian-Cheng Lai, Zhen-Hua Li, An-Zhi He.: Application of Mie theory in biological tissue scattering characteristics analysis. ACTA PHYSICA SINICA. 56(2)( 2007), 1203-1207.

[11] F. Bevilacqua and C. Depeursinge.: Monte Carlo study of diffuse reflectance at source-detector separations close to one transport mean free path. J. Opt. Soc. Am.A. 16(12) (1999), 2935-2945.