Optical properties of particle dispersed coatings with gradient distribution

Jinan Zhai; Shangyu Zhang; Shangyu Zhang; Chong Zheng; Linhua Liu; Linhua Liu

doi:10.1364/AO.510957

Applied Optics
Vol. 63,
Issue 3,
pp. 681-691
(2024)
•https://doi.org/10.1364/AO.510957

Optical properties of particle dispersed coatings with gradient distribution

Jinan Zhai, Shangyu Zhang, Chong Zheng, and Linhua Liu

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Jinan Zhai, Shangyu Zhang, Chong Zheng, and Linhua Liu, "Optical properties of particle dispersed coatings with gradient distribution," Appl. Opt. 63, 681-691 (2024)

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- Physical Optics
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About this Article
History
- Original Manuscript: November 1, 2023
- Revised Manuscript: December 13, 2023
- Manuscript Accepted: December 14, 2023
- Published: January 12, 2024

Abstract

Particle dispersed coatings with gradient distributions, resulting from either gravity or artificial control, are frequently encountered in practical applications. However, most current studies investigating the optical properties of coatings use the uniform model (uniform single layer assumption), overlooking the gradient distribution effects. Given the pervasiveness of gradient distributions and the widespread use of the uniform model, it is imperative to evaluate applicability conditions of the uniform model in practical applications. In this work, we comprehensively investigate the quantitative performance of the uniform model in predicting the infrared optical properties of coatings with gradient distributions of particle volume fraction using the superposition T-matrix method. The results show that the gradient distribution of particle volume fraction has a limited impact on the emissivity properties of ${{\rm TiO}_2}$-PDMS coatings in the midwavelength-infrared (MWIR) and long-wavelength-infrared (LWIR) bands, which validates the uniform model for the gradient coatings with weakly scattering dielectric particles. However, the uniform model can yield significant inaccuracies in estimating the emissivity properties of Al-PDMS coatings with gradient distributions in the MWIR and LWIR bands. To accurately estimate the emissivity of such gradient coatings with the scattering metallic particles, meticulous modeling of the particle volume fraction distribution is essential.

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Supplementary Material (1)

Name	Description
Supplement 1	Supplemental Document

Data availability

Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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	${\bar{ε}}_{M W I R}$ (3.0–5.0 µm)	${\bar{ε}}_{L W I R}$ (8.0–14.0 µm)	$δ_{M W I R}$	$δ_{L W I R}$
Uniform, $f_{v, t o p} = 0.1$	0.0358	0.8864
Downward, $f_{v, t o p} = 0.0$	0.0353	0.8808	1.3966%	0.6318%
Downward, $f_{v, t o p} = 0.05$	0.0376	0.8864	5.0279%	0.0000%
Upward, $f_{v, t o p} = 0.15$	0.0363	0.8852	1.3966%	0.1354%
Upward, $f_{v, t o p} = 0.2$	0.0378	0.8824	5.5866%	0.4513%

	${\bar{ε}}_{M W I R}$ (3.0–5.0 µm)	${\bar{ε}}_{L W I R}$ (8.0–14.0 µm)	$δ_{M W I R}$	$δ_{L W I R}$
Uniform, $f_{v, t o p} = 0.1$	0.2498	0.7883
Downward, $f_{v, t o p} = 0.0$	0.3102	0.7889	24.1793%	0.0761%
Downward, $f_{v, t o p} = 0.05$	0.2804	0.7914	12.2498%	0.3933%
Upward, $f_{v, t o p} = 0.15$	0.2666	0.7605	6.7254%	3.5266%
Upward, $f_{v, t o p} = 0.2$	0.2874	0.7567	15.0520%	4.0086%

	${\bar{ε}}_{M W I R}$ (3.0–5.0 µm)	${\bar{ε}}_{L W I R}$ (8.0–14.0 µm)	$δ_{M W I R}$	$δ_{L W I R}$
Uniform, $f_{v, t o p} = 0.1$	0.0358	0.8864
Downward, $f_{v, t o p} = 0.0$	0.0353	0.8808	1.3966%	0.6318%
Downward, $f_{v, t o p} = 0.05$	0.0376	0.8864	5.0279%	0.0000%
Upward, $f_{v, t o p} = 0.15$	0.0363	0.8852	1.3966%	0.1354%
Upward, $f_{v, t o p} = 0.2$	0.0378	0.8824	5.5866%	0.4513%

	${\bar{ε}}_{M W I R}$ (3.0–5.0 µm)	${\bar{ε}}_{L W I R}$ (8.0–14.0 µm)	$δ_{M W I R}$	$δ_{L W I R}$
Uniform, $f_{v, t o p} = 0.1$	0.2498	0.7883
Downward, $f_{v, t o p} = 0.0$	0.3102	0.7889	24.1793%	0.0761%
Downward, $f_{v, t o p} = 0.05$	0.2804	0.7914	12.2498%	0.3933%
Upward, $f_{v, t o p} = 0.15$	0.2666	0.7605	6.7254%	3.5266%
Upward, $f_{v, t o p} = 0.2$	0.2874	0.7567	15.0520%	4.0086%

Abstract

Supplementary Material (1)

Data availability

Cited By

Figures (7)

Tables (2)

Equations (10)

Applied Optics