Author Affiliations
1School of Science, Jiangxi University of Science and Technology, Ganzhou, Jiangxi 341000, China2Department of Mechanical Engineering, University of Nevada, Las Vegas, Las Vegas NV 89154, USAshow less
Fig. 1. Schematic of turbid medium model comprising randomly oriented non-spherical particles
Fig. 2. Flow chart of improved vector Monte Carlo algorithm
Fig. 3. Diagram of meridian planes
Fig. 4. Single-scattering phase function of Rayleigh scattering particles with different shapes
Fig. 5. Influence of particle shape on backscattering light from Rayleigh scattering medium. (a) Difference of polarization degree Δdiff of backscattering light as a function of optical thickness of medium; (b) total intensity I of backscattering light as a function of optical thickness of medium; (c) V component of backscattering light of circularly-polarized light as a function of optical thickness of medium; (d) Q component of backscattering light of linearly-po
Fig. 6. Single-scattering phase function of Mie scattering particles with different shapes
Fig. 7. Δdiff of backscattering light from Mie-scattering-particle media with different shapes as a function of optical thickness
Fig. 8. Influence of Mie-scattering-particle shape on total intensity I and Stokes vector components Q and V of backscattering light. (a) Total intensity I of backscattering light as a function of optical thickness of medium; (b) component V of backscattering light as a function of optical thickness of medium when circularly-polarized light is incident; (c) component Q of backscattering light as a function of optical thickness of medium when linearly-polarized l
Fig. 9. Influence of particle shape on spatial distribution of backscattering-light intensity in medium (i: circularly-polarized light is incident; ii: linearly-polarized light is incident). (a) Medium of spherical particles; (b) medium of elliptic particles with a/b=0.1; (c) medium of elliptic particles with a/b=2.5; (d) medium of cylindrical particles with D/L=0.2; (e) medium of cylindrical particles with D/L=2.5; (f) medium of Chebyshev particle
Fig. 10. Spatial distributions of polarization degree of backscattering light from different media. (a) Medium of spherical particles; (b) medium of elliptic particles with a/b=0.1; (c) medium of elliptic particles with a/b=2.5; (d) medium of cylindrical particles with D/L=0.2; (e) medium of cylindrical particles with D/L=2.5; (f) medium of Chebyshev particles with n=4 and ε=0.15; (g) medium of Chebyshev particles with n=8 and <
Method | 0.1 μm | 1 μm | 2 μm |
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I | Q | I | Q | I | Q |
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Meridian Planes Monte Carlo[25] | 0.6769 | -0.1012 | 0.4480 | 0.0499 | 0.2926 | 0.0089 | Adding doubling method[25] | 0.6769 | -0.1015 | 0.4479 | 0.0499 | 0.2930 | 0.0089 | Proposed | 0.6771 | -0.1020 | 0.4466 | 0.0499 | 0.2905 | 0.0089 |
|
Table 1. Validation of feasibility of proposed method (with different equivalent diameters)
Parameter | x | Csca /μm2 | Cext /μm2 | g |
---|
| 1.0 | 0.5955 | 0.1353×10-3 | 0.1353×10-3 | 0.1091 | a/b | 0.1 | 0.5955 | 0.1834×10-4 | 0.1834×10-4 | 0.2146 | | 2.5 | 0.5955 | 0.8171×10-4 | 0.8171×10-4 | 0.1149 | | 0.1 | 0.5955 | 0.1602×10-4 | 0.1602×10-4 | 0.2314 | D/L | 2.5 | 0.5955 | 0.6610×10-4 | 0.6610×10-4 | 0.1058 | (n, ε) | (8,0.1) | 0.5955 | 0.9278×10-4 | 0.9278×10-4 | 0.0978 | | (4,0.15) | 0.5955 | 0.1093×10-3 | 0.1093×10-3 | 0.1052 |
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Table 2. Single-scattering parameters of Rayleigh scattering particles with different shapes
Parameter | x | Csca /μm2 | Cext /μm2 | g |
---|
| 1.0 | 5.6845 | 2.6381 | 2.6381 | 0.9257 | a/b | 0.1 | 5.6845 | 0.7449 | 0.7449 | 0.8727 | | 2.5 | 5.6845 | 1.8894 | 1.8894 | 0.9181 | D/L | 0.2 | 5.6845 | 1.1525 | 1.1525 | 0.9017 | | 2.5 | 5.6845 | 1.6907 | 1.6907 | 0.9158 | (n, ε) | (8,0.1) | 5.6845 | 2.1326 | 2.1326 | 0.9235 | | (4,0.15) | 5.6845 | 2.3193 | 2.3193 | 0.9225 |
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Table 3. Single-scattering parameters of Mie scattering particles with different shapes