Temperature-dependent index of refraction of monoclinic Ga<sub>2</sub>O<sub>3</sub> single crystal

Indranil Bhaumik; R. Bhatt; S. Ganesamoorthy; A. Saxena; A. K. Karnal; P. K. Gupta; A. K. Sinha; S. K. Deb

doi:10.1364/AO.50.006006

Applied Optics
Vol. 50,
Issue 31,
pp. 6006-6010
(2011)
•https://doi.org/10.1364/AO.50.006006

Temperature-dependent index of refraction of monoclinic ${Ga}_{2} O_{3}$ single crystal

Indranil Bhaumik, R. Bhatt, S. Ganesamoorthy, A. Saxena, A. K. Karnal, P. K. Gupta, A. K. Sinha, and S. K. Deb

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Indranil Bhaumik, R. Bhatt, S. Ganesamoorthy, A. Saxena, A. K. Karnal, P. K. Gupta, A. K. Sinha, and S. K. Deb, "Temperature-dependent index of refraction of monoclinic Ga₂O₃ single crystal," Appl. Opt. 50, 6006-6010 (2011)

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Abstract

We present temperature-dependent refractive index along crystallographic $b [010]$ and a direction perpendicular to $(100)$ -plane for monoclinic phase (β) ${Ga}_{2} O_{3}$ single crystal grown by the optical floating zone technique. The experimental results are consistent with the theoretical result of Litimein et al. [1]. Also, the Sellmeier equation for wavelengths in the range of $0.4 - 1.55 μm$ is formulated at different temperatures in the range of $30 - 175 ° C$ . The thermal coefficient of refractive index in the above specified range is $\sim 10^{- 5} / ° C$ .

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Wavelength (nm)	RI along $[010]$	RI along a direction $⊥ to (100)$
0.407	1.9881	1.9568
0.532	1.9523	1.9201
0.828	1.9259	1.8928
1.064	1.918	1.8851
1.551	1.9095	1.8767

		Temperature
	Constants	$30 ° C$	$50 ° C$	$75 ° C$	$100 ° C$	$125 ° C$	$150 ° C$	$175 ° C$
$[010]$	$A_{o}$	3.65409	3.65985	3.66161	3.66726	3.67433	3.68685	3.68306
	$B_{o}$	0.04045	0.04045	0.04264	0.04341	0.04321	0.04195	0.04647
	$C_{o}$	0.03089	0.03207	0.02719	0.02628	0.02855	0.02974	0.01954
	$D_{o}$	0.01039	0.01067	0.00904	0.00879	0.00907	0.01403	0.00869
$⊥ to (100)$	$A_{o}$	3.52594	3.53564	3.54047	3.54941	3.55413	3.55958	3.56515
	$B_{o}$	0.04131	0.04	0.04093	0.04019	0.04085	0.04144	0.04182
	$C_{o}$	0.03002	0.03416	0.03274	0.03542	0.0344	0.03305	0.03279
	$D_{o}$	0.00885	0.01057	0.00994	0.01106	0.01061	0.01061	0.01034

Wavelength	along $[010]$		along $⊥ to (100)$
Wavelength	$n_{0}$	$d n / d T (\times 10^{- 5}) / ° C$	$n_{0}$	$d n / d T (\times 10^{- 5}) / ° C$
$407 nm$	1.98597	8.23872	1.95478	8.46725
$532 nm$	1.94994	7.32396	1.91802	7.60968
$828 nm$	1.92378	6.71594	1.89091	6.98623
$1064 nm$	1.91616	6.60169	1.88342	6.88499
$1551 nm$	1.90768	6.3914	1.8748	6.52385

Wavelength (nm)	RI along $[010]$	RI along a direction $⊥ to (100)$
0.407	1.9881	1.9568
0.532	1.9523	1.9201
0.828	1.9259	1.8928
1.064	1.918	1.8851
1.551	1.9095	1.8767

		Temperature
	Constants	$30 ° C$	$50 ° C$	$75 ° C$	$100 ° C$	$125 ° C$	$150 ° C$	$175 ° C$
$[010]$	$A_{o}$	3.65409	3.65985	3.66161	3.66726	3.67433	3.68685	3.68306
	$B_{o}$	0.04045	0.04045	0.04264	0.04341	0.04321	0.04195	0.04647
	$C_{o}$	0.03089	0.03207	0.02719	0.02628	0.02855	0.02974	0.01954
	$D_{o}$	0.01039	0.01067	0.00904	0.00879	0.00907	0.01403	0.00869
$⊥ to (100)$	$A_{o}$	3.52594	3.53564	3.54047	3.54941	3.55413	3.55958	3.56515
	$B_{o}$	0.04131	0.04	0.04093	0.04019	0.04085	0.04144	0.04182
	$C_{o}$	0.03002	0.03416	0.03274	0.03542	0.0344	0.03305	0.03279
	$D_{o}$	0.00885	0.01057	0.00994	0.01106	0.01061	0.01061	0.01034

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Applied Optics