Effect of host medium absorption on polarized radiative transfer in dispersed media

C. C. Wang; L. X. Ma

doi:10.1364/AO.58.007157

Applied Optics
Vol. 58,
Issue 26,
pp. 7157-7164
(2019)
•https://doi.org/10.1364/AO.58.007157

Effect of host medium absorption on polarized radiative transfer in dispersed media

C. C. Wang and L. X. Ma

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C. C. Wang and L. X. Ma, "Effect of host medium absorption on polarized radiative transfer in dispersed media," Appl. Opt. 58, 7157-7164 (2019)

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- Optical Design and Fabrication
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About this Article
History
- Original Manuscript: July 8, 2019
- Revised Manuscript: August 10, 2019
- Manuscript Accepted: August 13, 2019
- Published: September 9, 2019

Abstract

This paper focuses on polarized radiative transfer in a thin layer composed of titanium dioxide particles while considering the effect of host medium absorption on particle scattering. The single-scattering properties of particles in an absorbing medium are calculated using the modified Lorenz–Mie program recently developed based on the first-principles theory of electromagnetic scattering, and the vector radiative transfer equation is solved by using the spectral element method. The relative errors of Stokes parameters caused by using the conventional Lorenz–Mie theory are systemically investigated. The results show that neglecting the effect of host medium absorption on particle scattering has a more significant impact on the radiation intensity than the polarization components in most cases. Meanwhile, the relative errors of Stokes parameters induced by using the conventional Lorenz–Mie theory obviously increase with the increase of the host medium absorption index and particle size parameter. Due to the larger scattering coefficients and scattering albedos (i.e., for the case of particle size parameter $x = 10.0$ in this study), the relative errors of Stokes parameters of monodisperse particles are obviously larger than those of polydisperse particles. Moreover, it is found that the relative errors of the Stokes parameters change nonlinearly with the particle volume fraction, especially for large size particles.

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$x$	$m_{host}^{''}$	$μ_{abs, host}$ ( ${mm}^{- 1}$ )	$μ_{ext, p}$ ( ${mm}^{- 1}$ )	$μ_{sca, p}$ ( ${mm}^{- 1}$ )	$Δ I_{R, Average}$ (%)	$Δ Q_{R, Average}$ (%)
1.0	0.0001	1.2566	417.80	417.88	0.60	0.05
1.0	0.001	12.566	417.25	418.05	2.50	0.52
1.0	0.01	125.66	411.86	419.90	6.52	2.65
5.0	0.0001	1.2566	179.14	179.25	0.75	0.08
5.0	0.001	12.566	178.43	179.57	3.40	0.76
5.0	0.01	125.66	171.25	183.81	6.08	4.63
10.0	0.0001	1.2566	122.18	122.31	1.20	0.33
10.0	0.001	12.566	122.36	123.68	6.92	2.70
10.0	0.01	125.66	124.43	139.60	20.12	13.25

$v_{eff}$	$m_{host}^{''}$	$μ_{abs, host}$ ( ${mm}^{- 1}$ )	$μ_{ext, p}$ ( ${mm}^{- 1}$ )	$μ_{sca, p}$ ( ${mm}^{- 1}$ )	$Δ I_{R, Average}$ (%)	$Δ Q_{R, Average}$ (%)
0	0.0001	1.2566	122.18	122.31	1.20	0.33
0	0.001	12.566	122.36	123.68	6.92	2.70
0	0.01	125.66	124.43	139.60	20.12	13.25
0.05	0.0001	1.2566	110.22	110.34	1.01	0.23
0.05	0.001	12.566	110.23	111.42	5.68	1.73
0.05	0.01	125.66	110.25	124.84	14.18	7.28
0.15	0.0001	1.2566	111.47	111.59	1.00	0.23
0.15	0.001	12.566	111.48	112.68	5.58	1.77
0.15	0.01	125.66	111.50	126.30	13.51	6.85

$x$	$f_{v}$	$μ_{abs, host}$ ( ${mm}^{- 1}$ )	$μ_{ext, p}$ ( ${mm}^{- 1}$ )	$μ_{sca}$ ( ${mm}^{- 1}$ )	$Δ I_{R, Average}$ (%)	$Δ Q_{R, Average}$ (%)
1.0	0.1	125.66	514.30	523.02	6.76	3.03
1.0	0.01	125.66	51.430	52.302	1.93	1.60
1.0	0.001	125.66	5.1430	5.2302	1.31	1.28
5.0	0.1	125.66	253.68	265.70	7.35	2.86
5.0	0.01	125.66	25.368	26.570	2.39	2.41
5.0	0.001	125.66	2.5638	2.6570	3.19	3.23
10.0	0.1	125.66	111.50	126.30	13.51	6.85
10.0	0.01	125.66	11.150	12.630	5.07	5.17
10.0	0.001	125.66	1.1150	1.2630	6.24	6.29

$x$	$m_{host}^{''}$	$μ_{abs, host}$ ( ${mm}^{- 1}$ )	$μ_{ext, p}$ ( ${mm}^{- 1}$ )	$μ_{sca, p}$ ( ${mm}^{- 1}$ )	$Δ I_{R, Average}$ (%)	$Δ Q_{R, Average}$ (%)
1.0	0.0001	1.2566	417.80	417.88	0.60	0.05
1.0	0.001	12.566	417.25	418.05	2.50	0.52
1.0	0.01	125.66	411.86	419.90	6.52	2.65
5.0	0.0001	1.2566	179.14	179.25	0.75	0.08
5.0	0.001	12.566	178.43	179.57	3.40	0.76
5.0	0.01	125.66	171.25	183.81	6.08	4.63
10.0	0.0001	1.2566	122.18	122.31	1.20	0.33
10.0	0.001	12.566	122.36	123.68	6.92	2.70
10.0	0.01	125.66	124.43	139.60	20.12	13.25

$v_{eff}$	$m_{host}^{''}$	$μ_{abs, host}$ ( ${mm}^{- 1}$ )	$μ_{ext, p}$ ( ${mm}^{- 1}$ )	$μ_{sca, p}$ ( ${mm}^{- 1}$ )	$Δ I_{R, Average}$ (%)	$Δ Q_{R, Average}$ (%)
0	0.0001	1.2566	122.18	122.31	1.20	0.33
0	0.001	12.566	122.36	123.68	6.92	2.70
0	0.01	125.66	124.43	139.60	20.12	13.25
0.05	0.0001	1.2566	110.22	110.34	1.01	0.23
0.05	0.001	12.566	110.23	111.42	5.68	1.73
0.05	0.01	125.66	110.25	124.84	14.18	7.28
0.15	0.0001	1.2566	111.47	111.59	1.00	0.23
0.15	0.001	12.566	111.48	112.68	5.58	1.77
0.15	0.01	125.66	111.50	126.30	13.51	6.85

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Applied Optics