Temperature-dependent phase-matching properties of BaGa<sub>2</sub>GeS<sub>6</sub> in the 0.767–10.5910 µm spectral range

Kiyoshi Kato; Kiyoshi Kato; Nobuhiro Umemura; Valeriy V. Badikov; Dmitrii V. Badikov; Valentin Petrov

doi:10.1364/AO.476853

Applied Optics
Vol. 61,
Issue 36,
pp. 10774-10777
(2022)
•https://doi.org/10.1364/AO.476853

Temperature-dependent phase-matching properties of BaGa₂GeS₆ in the 0.767–10.5910 µm spectral range

Kiyoshi Kato, Nobuhiro Umemura, Valeriy V. Badikov, Dmitrii V. Badikov, and Valentin Petrov

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Kiyoshi Kato, Nobuhiro Umemura, Valeriy V. Badikov, Dmitrii V. Badikov, and Valentin Petrov, "Temperature-dependent phase-matching properties of BaGa₂GeS₆ in the 0.767–10.5910 µm spectral range," Appl. Opt. 61, 10774-10777 (2022)

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- Nonlinear Optics
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About this Article
History
- Original Manuscript: September 30, 2022
- Revised Manuscript: November 26, 2022
- Manuscript Accepted: November 27, 2022
- Published: December 14, 2022

Abstract

We report experimental results on the temperature-dependent phase-matching properties of ${{\rm BaGa}_2}{{\rm GeS}_6}$ for second-harmonic generation and sum-frequency generation in the 0.7674–10.5910 µm range. We also derive refined Sellmeier and thermo-optic dispersion formulas that provide a good reproduction of the present experimental results.

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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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	Wavelength (µm) ^a ^, ^b			Phase-Matching Angle $θ$ (deg)
					Calculated ^c
	$λ_{1}$	$λ_{2}$	$λ_{3}$	Measured	( $K$ )	( $B$ )
SHG	${1.5348}_{e}$	${1.5348}_{e}$	${7.6740}_{o}$	$70.0 \pm 0.2$	70.24	68.84
	${2.0376}_{o}$	${2.0376}_{e}$	${1.0188}_{o}$	90	90	85.12
	${3.1092}_{e}$	${3.1092}_{e}$	${1.5546}_{o}$	31.6	31.63	31.72
	${3.1092}_{o}$	${3.1092}_{e}$	${1.5546}_{o}$	47.7	47.57	47.83
	${5.2955}_{e}$	${5.2955}_{e}$	${2.6478}_{o}$	32.6	32.55	32.98
	${5.2955}_{o}$	${5.2955}_{e}$	${2.6478}_{o}$	49.3	49.22	49.99
	${7.6740}_{e}$	${7.6740}_{e}$	${3.8370}_{o}$	45.5	45.50	45.80
	${7.6740}_{o}$	${7.6740}_{e}$	${3.8370}_{o}$	90	90	No PM
	${9.2714}_{e}$	${9.2714}_{e}$	${4.6357}_{o}$	58.6 ^d	58.78	58.60
SFG	${2.6846}_{o}$	${1.0642}_{e}$	${0.7621}_{o}$	90	90	83.67
	${3.1092}_{o}$	${1.0642}_{e}$	${0.7928}_{o}$	66.2	66.38	65.73
	${10.5910}_{e}$	${5.2955}_{e}$	${3.5303}_{o}$	45.7	45.71	45.65
	${10.5910}_{o}$	${5.2955}_{e}$	${3.5303}_{o}$	60.4	60.35	60.32

	Wavelength (µm) ^a ^, ^b			$θ_{p m}$	$Δ θ_{e x t} \cdot l (d e g \cdot c m)$	$Δ T \cdot l (^{\circ} C \cdot c m)$ ^c
	$λ_{1}$	$λ_{2}$	$λ_{3}$	$θ_{p m}$	$Δ θ_{e x t} \cdot l (d e g \cdot c m)$	Measured	Calculated
SHG	$1. 5348^{e}$	$1. 5348^{e}$	${0.7674}^{o}$	70.24	0.25	3.1	3.1
	$2. 0376^{o}$	$2. 0376^{e}$	$1. 0188^{o}$	90	3.25*	12.2	12.0
	$3. 1092^{o}$	$3. 1092^{e}$	$1. 5546^{o}$	47.57	0.67	37.7	37.7
	$5. 2955^{o}$	$5. 2955^{e}$	$2. 6478^{o}$	49.22	1.15	52.8	52.6
	$7. 6740^{e}$	$7. 6740^{e}$	$3. 8370^{o}$	45.50	0.84	58.0	58.5
	$7. 6740^{o}$	$7. 6740^{e}$	$3. 8370^{o}$	90	14.6 ^d	NM	57.9
	$9. 2714^{e}$	$9. 2714^{e}$	$4. 6357^{o}$	58.78	1.13	NM	58.6
SFG	$2. 6846^{o}$	$1. 0642^{e}$	$0. 7621^{o}$	90	5.32*	3.3	3.3
	$3. 1092^{o}$	$1. 0642^{e}$	$0. 7928^{o}$	66.38	0.29	4.2	4.2
	$10. 5910^{o}$	$5. 2955^{e}$	$3. 5303^{o}$	60.35	1.30	56.0	55.3

	Wavelength (µm) ^a ^, ^b			Phase-Matching Angle $θ$ (deg)
					Calculated ^c
	$λ_{1}$	$λ_{2}$	$λ_{3}$	Measured	( $K$ )	( $B$ )
SHG	${1.5348}_{e}$	${1.5348}_{e}$	${7.6740}_{o}$	$70.0 \pm 0.2$	70.24	68.84
	${2.0376}_{o}$	${2.0376}_{e}$	${1.0188}_{o}$	90	90	85.12
	${3.1092}_{e}$	${3.1092}_{e}$	${1.5546}_{o}$	31.6	31.63	31.72
	${3.1092}_{o}$	${3.1092}_{e}$	${1.5546}_{o}$	47.7	47.57	47.83
	${5.2955}_{e}$	${5.2955}_{e}$	${2.6478}_{o}$	32.6	32.55	32.98
	${5.2955}_{o}$	${5.2955}_{e}$	${2.6478}_{o}$	49.3	49.22	49.99
	${7.6740}_{e}$	${7.6740}_{e}$	${3.8370}_{o}$	45.5	45.50	45.80
	${7.6740}_{o}$	${7.6740}_{e}$	${3.8370}_{o}$	90	90	No PM
	${9.2714}_{e}$	${9.2714}_{e}$	${4.6357}_{o}$	58.6 ^d	58.78	58.60
SFG	${2.6846}_{o}$	${1.0642}_{e}$	${0.7621}_{o}$	90	90	83.67
	${3.1092}_{o}$	${1.0642}_{e}$	${0.7928}_{o}$	66.2	66.38	65.73
	${10.5910}_{e}$	${5.2955}_{e}$	${3.5303}_{o}$	45.7	45.71	45.65
	${10.5910}_{o}$	${5.2955}_{e}$	${3.5303}_{o}$	60.4	60.35	60.32

	Wavelength (µm) ^a ^, ^b			$θ_{p m}$	$Δ θ_{e x t} \cdot l (d e g \cdot c m)$	$Δ T \cdot l (^{\circ} C \cdot c m)$ ^c
	$λ_{1}$	$λ_{2}$	$λ_{3}$	$θ_{p m}$	$Δ θ_{e x t} \cdot l (d e g \cdot c m)$	Measured	Calculated
SHG	$1. 5348^{e}$	$1. 5348^{e}$	${0.7674}^{o}$	70.24	0.25	3.1	3.1
	$2. 0376^{o}$	$2. 0376^{e}$	$1. 0188^{o}$	90	3.25*	12.2	12.0
	$3. 1092^{o}$	$3. 1092^{e}$	$1. 5546^{o}$	47.57	0.67	37.7	37.7
	$5. 2955^{o}$	$5. 2955^{e}$	$2. 6478^{o}$	49.22	1.15	52.8	52.6
	$7. 6740^{e}$	$7. 6740^{e}$	$3. 8370^{o}$	45.50	0.84	58.0	58.5
	$7. 6740^{o}$	$7. 6740^{e}$	$3. 8370^{o}$	90	14.6 ^d	NM	57.9
	$9. 2714^{e}$	$9. 2714^{e}$	$4. 6357^{o}$	58.78	1.13	NM	58.6
SFG	$2. 6846^{o}$	$1. 0642^{e}$	$0. 7621^{o}$	90	5.32*	3.3	3.3
	$3. 1092^{o}$	$1. 0642^{e}$	$0. 7928^{o}$	66.38	0.29	4.2	4.2
	$10. 5910^{o}$	$5. 2955^{e}$	$3. 5303^{o}$	60.35	1.30	56.0	55.3

Abstract

Data availability

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Applied Optics