Sellmeier and thermo-optic dispersion formulas for the extraordinary ray of 5&#x2009;&#x2009;mol. % MgO-doped congruent LiNbO<sub>3</sub> in the visible, infrared, and terahertz regions

Nobuhiro Umemura; Daisuke Matsuda; Takuma Mizuno; Kiyoshi Kato

doi:10.1364/AO.53.005726

Applied Optics
Vol. 53,
Issue 25,
pp. 5726-5732
(2014)
•https://doi.org/10.1364/AO.53.005726

Sellmeier and thermo-optic dispersion formulas for the extraordinary ray of 5 mol. % MgO-doped congruent LiNbO₃ in the visible, infrared, and terahertz regions

Nobuhiro Umemura, Daisuke Matsuda, Takuma Mizuno, and Kiyoshi Kato

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Nobuhiro Umemura, Daisuke Matsuda, Takuma Mizuno, and Kiyoshi Kato, "Sellmeier and thermo-optic dispersion formulas for the extraordinary ray of 5 mol. % MgO-doped congruent LiNbO₃ in the visible, infrared, and terahertz regions," Appl. Opt. 53, 5726-5732 (2014)

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Abstract

This paper reports the high-accuracy Sellmeier and thermo-optic dispersion formulas for the extraordinary ray of 5 mol. % MgO-doped congruent ${LiNbO}_{3}$ that provide excellent reproduction of the temperature-dependent quasi-phase-matching conditions in the 0.39–4.95 μm and 150–270 μm ranges. We believe that these equations would be highly useful for designing the frequency conversion system based on periodically poled MgO-doped ${LiNbO}_{3}$ .

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		Wavelength (μm)^a
		Measured			Calculated			$d λ / d T (Å / ° C) @ 20 ° C$
SHG, SFG, OPO	Order $m$	$λ_{1}$	$λ_{2}$	$λ_{3}$	$λ_{1}$	$λ_{2}$	$λ_{3}$	Measured	Calculated
OPO	1	4.9339	2.2276	1.5347	4.9339	2.2276	1.5347	—	—
OPO	1	4.0035	1.4495	1.0642	4.0028	1.4496	1.0642	$d λ_{s} / d T = + 1.12$	$d λ_{s} / d T = + 1.16$
								$d λ_{i} / d T = - 9.8$	$d λ_{i} / d T = - 9.8$
SHG	1	1.9342	1.9342	0.9671	1.9341	1.9341	0.9671	$d λ_{1} / d T = + 2.1$	$d λ_{1} / d T = + 2.1$
SHG	2	1.3716	1.3716	0.6858	1.3711	1.3711	0.6856	$d λ_{1} / d T = + 1.03$	$d λ_{1} / d T = + 0.94$
		1.8372	1.0642	0.6739	1.8368	1.0642	0.6738	$d λ_{1} / d T = + 4.0$	$d λ_{1} / d T = + 3.2$
SFG	2							$d λ_{3} / d T = + 0.50$	$d λ_{3} / d T = + 0.42$
SHG	3	1.1841	1.1841	0.5921	1.1840	1.1840	0.5920	$d λ_{1} / d T = + 0.91$	$d λ_{1} / d T = + 0.84$
SHG	5	1.0038	1.0038	0.5019	1.0038	1.0038	0.5019	$d λ_{1} / d T = + 0.73$	$d λ_{1} / d T = + 0.73$
SHG	7	0.9075	0.9075	0.4538	0.9076	0.9076	0.4538	$d λ_{1} / d T = + 0.63$	$d λ_{1} / d T = + 0.63$
SHG	9	0.8448	0.8448	0.4224	0.8448	0.8448	0.4224	$d λ_{1} / d T = + 0.63$	$d λ_{1} / d T = + 0.63$
SHG	11	0.7996	0.7996	0.3998	0.7994	0.7994	0.3997	$d λ_{1} / d T = + 0.53$	$d λ_{1} / d T = + 0.53$
SHG	12	0.7810	0.7810	0.3905	0.7810	0.7810	0.3905	—	—

		Wavelength (μm)^a
		Measured			Calculated
SHG, SFG, OPO	Order $m$	$λ_{1}$	$λ_{2}$	$λ_{3}$	$λ_{1}$	$λ_{2}$	$λ_{3}$
OPO	1	4.9452	2.2253	1.5347	4.9432	2.2257	1.5347
OPO	1	4.0173	1.4477	1.0642	4.0166	1.4478	1.0642
SHG	1	1.9320	1.9320	0.9660	1.9322	1.9322	0.9661
SHG	2	1.3709	1.3709	0.6855	1.3704	1.3704	0.6852
SFG	2	1.8345	1.0642	0.6835	1.8345	1.0642	0.6835
SHG	3	1.1836	1.1836	0.5918	1.1836	1.1836	0.5918
SHG	5	1.0031	1.0031	0.5016	1.0034	1.0034	0.5017
SHG	6	0.9492	0.9492	0.4746	0.9494	0.9494	0.4747
SHG	8	0.8726	0.8726	0.4363	0.8730	0.8730	0.4365
SHG	12	0.7806	0.7806	0.3903	0.7807	0.7807	0.3904

		Wavelength (μm)^a
		Measured			Calculated			$d λ / d T (Å / ° C) @ 20 ° C$
SHG, SFG, OPO	Order $m$	$λ_{1}$	$λ_{2}$	$λ_{3}$	$λ_{1}$	$λ_{2}$	$λ_{3}$	Measured	Calculated
OPO	1	4.9339	2.2276	1.5347	4.9339	2.2276	1.5347	—	—
OPO	1	4.0035	1.4495	1.0642	4.0028	1.4496	1.0642	$d λ_{s} / d T = + 1.12$	$d λ_{s} / d T = + 1.16$
								$d λ_{i} / d T = - 9.8$	$d λ_{i} / d T = - 9.8$
SHG	1	1.9342	1.9342	0.9671	1.9341	1.9341	0.9671	$d λ_{1} / d T = + 2.1$	$d λ_{1} / d T = + 2.1$
SHG	2	1.3716	1.3716	0.6858	1.3711	1.3711	0.6856	$d λ_{1} / d T = + 1.03$	$d λ_{1} / d T = + 0.94$
		1.8372	1.0642	0.6739	1.8368	1.0642	0.6738	$d λ_{1} / d T = + 4.0$	$d λ_{1} / d T = + 3.2$
SFG	2							$d λ_{3} / d T = + 0.50$	$d λ_{3} / d T = + 0.42$
SHG	3	1.1841	1.1841	0.5921	1.1840	1.1840	0.5920	$d λ_{1} / d T = + 0.91$	$d λ_{1} / d T = + 0.84$
SHG	5	1.0038	1.0038	0.5019	1.0038	1.0038	0.5019	$d λ_{1} / d T = + 0.73$	$d λ_{1} / d T = + 0.73$
SHG	7	0.9075	0.9075	0.4538	0.9076	0.9076	0.4538	$d λ_{1} / d T = + 0.63$	$d λ_{1} / d T = + 0.63$
SHG	9	0.8448	0.8448	0.4224	0.8448	0.8448	0.4224	$d λ_{1} / d T = + 0.63$	$d λ_{1} / d T = + 0.63$
SHG	11	0.7996	0.7996	0.3998	0.7994	0.7994	0.3997	$d λ_{1} / d T = + 0.53$	$d λ_{1} / d T = + 0.53$
SHG	12	0.7810	0.7810	0.3905	0.7810	0.7810	0.3905	—	—

		Wavelength (μm)^a
		Measured			Calculated
SHG, SFG, OPO	Order $m$	$λ_{1}$	$λ_{2}$	$λ_{3}$	$λ_{1}$	$λ_{2}$	$λ_{3}$
OPO	1	4.9452	2.2253	1.5347	4.9432	2.2257	1.5347
OPO	1	4.0173	1.4477	1.0642	4.0166	1.4478	1.0642
SHG	1	1.9320	1.9320	0.9660	1.9322	1.9322	0.9661
SHG	2	1.3709	1.3709	0.6855	1.3704	1.3704	0.6852
SFG	2	1.8345	1.0642	0.6835	1.8345	1.0642	0.6835
SHG	3	1.1836	1.1836	0.5918	1.1836	1.1836	0.5918
SHG	5	1.0031	1.0031	0.5016	1.0034	1.0034	0.5017
SHG	6	0.9492	0.9492	0.4746	0.9494	0.9494	0.4747
SHG	8	0.8726	0.8726	0.4363	0.8730	0.8730	0.4365
SHG	12	0.7806	0.7806	0.3903	0.7807	0.7807	0.3904

Abstract

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Figures (8)

Tables (2)

Equations (4)

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Applied Optics

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