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Depolarization of light in tissue phantoms - effect of a distribution in the size of scatterers

N. Ghosh, H. S. Patel, and P. K. Gupta

Open Access Open Access

Abstract

We show that the depolarization behavior of light on propagation through a sample having a mixture of suspension of monodisperse polystyrene microspheres of two different sizes (mean diameter 0.11µm and 1.08 µm) is dominated by the smaller of the two scatterers. In contrast the estimates for the anisotropy parameter (g) for this sample, obtained from goniophotometric measurement, are observed to be closer to the value corresponding to the larger of the two scatterers. These results imply that the depolarization behavior of light in biological tissue (having a distribution of scatterer size) would be different from that of a matched monodisperse scattering sample having the same value of anisotropy parameter (g) and optical thickness (τ=µs×d, µs is scattering coefficient and d being the physical thickness).

©2003 Optical Society of America

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Figures (6)
Fig. 1.
Fig. 1. (a) A schematic of the experimental set -up for steady state polarization measurements. A1 and A2 are apertures, P1 and P2 are linear polarizers, QWP1 and QWP2 are quarter wave plates and L is the lens. (b) A schematic of goniophotometric set-up for the measurement of anisotropy parameter (g).

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Fig. 2.
Fig. 2. Measured spatial distribution of the degree of linear polarization (triangles) and circular polarization (circles) at the detector for (a) 0.11 µm diameter polystyrene microspheres suspension in water (g=0.09, τ=8.3) and (b) for 1.08µm diameter polystyrene microspheres suspension in water (g=0.92, τ=8.3).

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Fig. 3.
Fig. 3. Measured degree of linear polarization (triangles) and circular polarization (circles) as a function of optical thickness (τ) for (a) 0.11 µm diameter polystyrene microspheres suspension in water and (b) for 1.08µm diameter polystyrene microspheres suspension in water.

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Fig. 4.
Fig. 4. (a) The measured scattering phase function (open circles), Mie theory computed phase function (dashed line) and the double H-G fit (solid line) to the measured phase function for 0.11 µm diameter polystyrene microspheres suspension in water. Single H-G function did not produce good fit. (b) The measured scattering phase function (open circles), Mie theory computed phase function (dashed line) and the single H-G fit (solid line) to the measured phase function for 1.08 µm diameter polystyrene microspheres suspension in water. The double H-G fit and single H-G fit was indistinguishable.

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Fig. 5:
Fig. 5: (a) Measured spatial distribution of the degree of linear polarization (triangles) and circular polarization (circles) at the detector for samples prepared using 1:1 volume ratio (open symbols) and 1:2 volume ratio (solid symbols) mixtures of 0.11 µm diameter spheres and 1.08 µm diameter spheres suspensions (µs=1.66 mm-1 and τ=8.3). (b) Measured degree of linear polarization (triangles) and circular polarization (circles) as a function of optical thickness (τ) for samples prepared using 1:1 volume ratio (open symbols) and 1:2 volume ratio (solid symbols) mixtures of 0.11 µm diameter spheres and 1.08 µm diameter spheres suspensions

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Fig. 6.
Fig. 6. The measured scattering phase function (open circles), Mie theory computed phase function (line with ‘+’ symbol), single H-G fit (dashed line) and the double H-G fit (solid line) to the measured phase function for samples prepared using 1:1 volume ratio mixture of 0.11 µm diameter spheres and 1.08 µm diameter spheres suspensions.

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