Light scattering in glass-ceramics: revision of the concept

Michael P. Shepilov; Olga S. Dymshits; Aleksander A. Zhilin

doi:10.1364/JOSAB.35.001717

Journal of the Optical Society of America B
Vol. 35,
Issue 7,
pp. 1717-1724
(2018)
•https://doi.org/10.1364/JOSAB.35.001717

Light scattering in glass-ceramics: revision of the concept

Michael P. Shepilov, Olga S. Dymshits, and Aleksander A. Zhilin

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Michael P. Shepilov, Olga S. Dymshits, and Aleksander A. Zhilin, "Light scattering in glass-ceramics: revision of the concept," J. Opt. Soc. Am. B 35, 1717-1724 (2018)

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Abstract

Transparency of glass-ceramics is limited by light scattering connected with their structure [nano(micro)-size crystals distributed within the residual glass]. We digitized and analyzed graphical data on the transparency of glass-ceramics presented in the literature and demonstrated that, for most glass-ceramics, the wavelength dependence of the scattering coefficient is described by the power law with the constant exponent ( $- p$ ). The values of $p$ are often markedly greater than the Rayleigh value of 4 and may be as much as $\approx 9$ . This conclusion is extremely important for the development of new materials and contradicts the generally accepted opinion that $p \leq 4$ for glass-ceramics. Similar behavior of light scattering was observed earlier in phase-separated glasses and is known as anomalous light scattering.

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Ref.	Figure Number in Ref.; Measured (Presented) Quantity	Designation of the Sample and/or Curve (Refractive Index $n$ )	$p_{m}$	$D_{Refl}$	$p$	Range $λ_{\min} - λ_{\max}$ (nm)
[11]	5; EC	24h	-	-	$6.2 \pm 0.1$	400–780
[15]	9a, b, c, d, e; EC (see Table 2 in [15])	0	-	-	4.6, 4.6, 3.9, 4.3, 4.5 ( $\pm 0.2$ )	380–720
[15]	9a, b, c, d, e; EC (see Table 2 in [15])	1–6	-	-	Values of $p$ in the limits 5.3–8.8 ( $\pm 0.2$ )	-
[21]	7; $D_{m}$	GC3, 1, 2	5.1	-	-	440–580
[21]	8; EC	GC3	-	-	$5.3 \pm 0.1$	440–900
[22]	2; $T$	#1	-	-	$4.1 \pm 0.1$	470–1050
		#2	-	-	$4.6 \pm 0.3$	470–900
		#3	-	-	$5.8 \pm 0.4$	450–720
[23]	6; $T$	CLEARCERAM-Z Regular	-	-	$5.2 \pm 0.1$	490–850
[23]	6; $T$	CLEARCERAM-Z HS	-	-	$5.1 \pm 0.1$	490–820
[24]	3; $T$ ; 4; $- \ln T$	$J$	-	-	$5.6 \pm 0.1$	490–840
		$E$	-	-	$4.6 \pm 0.1$	500–840
		$H$	-	-	$4.2 \pm 0.2$	490–800
[25]	2; $D_{m}$	9 h	4	0.179	$5.3 \pm 0.3$	510–770
		18 h	5.5	0.139	$6.0 \pm 0.1$	485–900
		36 h	5.5	0.169	$6.4 \pm 0.1$	470–930
		72 h	5.5	0.204	$6.00 \pm 0.06$	475–980
[26]	7; $D_{m}$	$C$ ( $n = 1.888$ [27])	5.4	0.0863	$5.6 \pm 0.1$	410–650
[26]	7; $D_{m}$	$F$ ( $n = 1.969$ [27])	5.2	0.0978	$5.8 \pm 0.1$	410–700
[28]	6; $T_{m}$	1100°C	3.8	0.0535	$4.00 \pm 0.05$	460–1800
[29]	2; $D_{m}$	$A$	-	0.126	$5.7 \pm 0.3$	410–620
[29]	2; $D_{m}$	$B$	-	0.13	$5.0 \pm 0.3$	410–910
[30]	2; $D_{m}$ (a.u.)	GCB	-	$D_{m}$ at $λ \geq 1400 nm$	$4.9 \pm 0.1$	400–1100
[30]	2; $D_{m}$ (a.u.)	GCC	-	$D_{m}$ at $λ \geq 1600 nm$	$4.65 \pm 0.10$	420–1100

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Journal of the Optical Society of America B