Dispersion and anisotropy of thermo-optic coefficients in tetragonal GdVO<sub>4</sub> and YVO<sub>4</sub> laser host crystals

Pavel A. Loiko; Konstantin V. Yumashev; Vladimir N. Matrosov; Nikolai V. Kuleshov

doi:10.1364/AO.52.000698

Applied Optics
Vol. 52,
Issue 4,
pp. 698-705
(2013)
•https://doi.org/10.1364/AO.52.000698

Dispersion and anisotropy of thermo-optic coefficients in tetragonal GdVO₄ and YVO₄ laser host crystals

Pavel A. Loiko, Konstantin V. Yumashev, Vladimir N. Matrosov, and Nikolai V. Kuleshov

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Pavel A. Loiko, Konstantin V. Yumashev, Vladimir N. Matrosov, and Nikolai V. Kuleshov, "Dispersion and anisotropy of thermo-optic coefficients in tetragonal GdVO₄ and YVO₄ laser host crystals," Appl. Opt. 52, 698-705 (2013)

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Abstract

A detailed experimental study of dispersion and anisotropy of thermo-optic coefficients $d n / d T$ and thermal coefficients of the optical path $W = d n / d T + (n - 1) α$ is performed for tetragonal ${YVO}_{4}$ and ${GdVO}_{4}$ laser host crystals by a laser beam deviation method. It is supported by theoretical description of thermo-optic effects, taking into account the volumetric thermal expansion effect and the temperature dependence of electronic bandgap $E_{g}$ . Linear thermal expansion coefficients $α$ were also determined by a dilatometric technique. Thermo-optic dispersion formulas describing temperature variation of the refractive index and the thermal lens effect are derived for a wide spectral range of 0.4–2 μm. It allows us to estimate the values of $E_{g}$ and $d E_{g} / d T$ for the studied crystals. The influence of materials parameters and pumping conditions on thermal lens properties is discussed, revealing the significant impact of anisotropic and temperature-dependent thermal conductivity.

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Corrections

P. A. Loiko, K. V. Yumashev, V. N. Matrosov, and N. V. Kuleshov, "Dispersion and anisotropy of thermo-optic coefficients in tetragonal GdVO₄ and YVO₄ laser host crystals: erratum," Appl. Opt. 54, 4820-4822 (2015)
https://opg.optica.org/ao/abstract.cfm?uri=ao-54-15-4820

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		${YVO}_{4}$		${GdVO}_{4}$
$λ$ (nm)	Polariz.	$a$ -cut	$c$ -cut	$a$ -cut	$c$ -cut
633		$W = d n / d T + (n - 1) α$
	$E ∥ c$	5.0	—	5.5	—
	$E ⊥ c$	7.8	13.5	7.5	15.7
		$d n / d T$
	$E ∥ c$	2.3	—	4.0	—
	$E ⊥ c$	5.6	5.0	6.3	5.9
1064		$W = d n / d T + (n - 1) α$
	$E ∥ c$	2.9	—	3.1	—
	$E ⊥ c$	5.0	11.0	4.7	12.7
		$d n / d T$
	$E ∥ c$	0.3	—	1.7	—
	$E ⊥ c$	2.9	2.8	3.5	3.3

$λ$ ( $μm$ )	$n_{o}$	$d n_{o} / d T$	$n_{e}$	$d n_{e} / d T$	$Δ$
${YVO}_{4}$
0.53	2.018	7.5	2.252	4.1	7.5
0.63	1.993	5.3	2.216	2.3	5.6
0.81	1.971	3.8	2.185	1.2	4.4
0.98	1.961	3.2	2.170	0.7	3.9
1.03	1.958	3.1	2.167	0.6	3.8
1.06	1.957	3.1	2.165	0.6	3.7
1.35	1.949	2.7	2.154	0.3	3.4
1.54	1.945	2.6	2.149	0.2	3.3
1.94	1.938	2.4	2.141	0.1	3.1
1.94	1.938	2.4	2.141	0.1	3.1
2.05	1.936	2.4	2.139	0.1	3.1
${GdVO}_{4}$
0.53	2.034	8.0	2.282	5.8	7.6
0.63	2.008	5.9	2.244	3.8	5.6
0.81	1.986	4.5	2.212	2.4	4.2
0.98	1.975	3.9	2.197	1.9	3.6
1.03	1.973	3.8	2.194	1.8	3.5
1.06	1.972	3.7	2.192	1.7	3.5
1.35	1.964	3.3	2.181	1.4	3.1
1.54	1.961	3.2	2.176	1.3	3.0
1.94	1.956	3.0	2.168	1.1	2.8
1.94	1.956	3.0	2.168	1.1	2.8
2.05	1.955	3.0	2.166	1.1	2.8

		${YVO}_{4}$		${GdVO}_{4}$
$λ$ (nm)	Polariz.	$a$ -cut	$c$ -cut	$a$ -cut	$c$ -cut
633		$W = d n / d T + (n - 1) α$
	$E ∥ c$	5.0	—	5.5	—
	$E ⊥ c$	7.8	13.5	7.5	15.7
		$d n / d T$
	$E ∥ c$	2.3	—	4.0	—
	$E ⊥ c$	5.6	5.0	6.3	5.9
1064		$W = d n / d T + (n - 1) α$
	$E ∥ c$	2.9	—	3.1	—
	$E ⊥ c$	5.0	11.0	4.7	12.7
		$d n / d T$
	$E ∥ c$	0.3	—	1.7	—
	$E ⊥ c$	2.9	2.8	3.5	3.3

$λ$ ( $μm$ )	$n_{o}$	$d n_{o} / d T$	$n_{e}$	$d n_{e} / d T$	$Δ$
${YVO}_{4}$
0.53	2.018	7.5	2.252	4.1	7.5
0.63	1.993	5.3	2.216	2.3	5.6
0.81	1.971	3.8	2.185	1.2	4.4
0.98	1.961	3.2	2.170	0.7	3.9
1.03	1.958	3.1	2.167	0.6	3.8
1.06	1.957	3.1	2.165	0.6	3.7
1.35	1.949	2.7	2.154	0.3	3.4
1.54	1.945	2.6	2.149	0.2	3.3
1.94	1.938	2.4	2.141	0.1	3.1
1.94	1.938	2.4	2.141	0.1	3.1
2.05	1.936	2.4	2.139	0.1	3.1
${GdVO}_{4}$
0.53	2.034	8.0	2.282	5.8	7.6
0.63	2.008	5.9	2.244	3.8	5.6
0.81	1.986	4.5	2.212	2.4	4.2
0.98	1.975	3.9	2.197	1.9	3.6
1.03	1.973	3.8	2.194	1.8	3.5
1.06	1.972	3.7	2.192	1.7	3.5
1.35	1.964	3.3	2.181	1.4	3.1
1.54	1.961	3.2	2.176	1.3	3.0
1.94	1.956	3.0	2.168	1.1	2.8
1.94	1.956	3.0	2.168	1.1	2.8
2.05	1.955	3.0	2.166	1.1	2.8

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Applied Optics