Sellmeier and thermo-optic dispersion formulas for LiInSe<sub>2</sub>

Kiyoshi Kato; Valentin Petrov; Nobuhiro Umemura

doi:10.1364/AO.53.001063

Sellmeier and thermo-optic dispersion formulas for LiInSe₂

Kiyoshi Kato, Valentin Petrov, and Nobuhiro Umemura

Applied Optics
Vol. 53,
Issue 6,
pp. 1063-1066
(2014)
•https://doi.org/10.1364/AO.53.001063

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Kiyoshi Kato, Valentin Petrov, and Nobuhiro Umemura, "Sellmeier and thermo-optic dispersion formulas for LiInSe₂," Appl. Opt. 53, 1063-1066 (2014)

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Related Topics
Table of Contents Category
- Nonlinear Optics
Optics & Photonics Topics
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The topics in this list come from the OSA Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Nonlinear optical materials (160.4330)
- Harmonic generation and mixing (190.2620)
- Nonlinear optics, materials (190.4400)

About this Article
History
- Original Manuscript: November 28, 2013
- Manuscript Accepted: December 20, 2013
- Published: February 12, 2014

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Abstract

This paper reports on the improved Sellmeier and thermo-optic dispersion formulas for ${LiInSe}_{2}$ , which provide a good reproduction of the temperature-dependent phase-matching conditions for the nonlinear frequency-conversion experiments achieved in the 1.0642–10.5910 μm range.

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				Phase-Matching Angle (deg)
	Wavelength (μm)^a				Calculated
	$λ_{1}$	$λ_{2}$	$λ_{3}$	Measured	(K)	(P)	Refs.
SHG	${2.0520}^{y}$	${2.0520}^{y}$	${1.0260}^{z x}$	$(θ = 13.5, ϕ = 0)$	$(θ = 13.5, ϕ = 0)$	$(θ = 18.2, ϕ = 90)$
	${2.1940}^{y}$	${2.1940}^{y}$	${1.0970}^{z x}$	$(θ = 23.0, ϕ = 0)$	$(θ = 23.0, ϕ = 0)$	$(θ = 15.7, ϕ = 0)$
	${2.6216}^{x}$	${2.6216}^{z}$	${1.3108}^{x}$	$(θ = 90, ϕ = 90)$	$(θ = 90, ϕ = 90)$	Not P.M.
	${2.6717}^{x y}$	${2.6717}^{z}$	${1.3359}^{x y}$	$(θ = 90, ϕ = 79.0)$	$(θ = 90, ϕ = 78.9)$	$(θ = 90, ϕ = 90)$
	${5.2955}^{x y}$	${5.2955}^{z}$	${2.6478}^{x y}$	$(θ = 90, ϕ = 41.0)$	$(θ = 90, ϕ = 41.0)$	$(θ = 90, ϕ = 43.3)$
	${10.5910}^{y}$	${10.5910}^{y}$	${5.2955}^{z x}$	$(θ = 25.5, ϕ = 0)$	$(θ = 25.5, ϕ = 0)$	$(θ = 14.1, ϕ = 0)$
SFG	${10.5910}^{x y}$	${5.2955}^{z}$	${3.5303}^{x y}$	$(θ = 90, ϕ = 45.0)$	$(θ = 90, ϕ = 44.9)$	$(θ = 90, ϕ = 50.0)$
OPO	${3.4590}^{x y}$	${1.5371}^{z}$	${1.0642}^{x y}$	$(θ = 90, ϕ = 72)$	$(θ = 90, ϕ = 72.0)$	$(θ = 90, ϕ = 72.0)$	[3]
	${3.6046}^{x y}$	${1.5100}^{z}$	${1.0642}^{x y}$	$(θ = 90, ϕ = 68.5)$	$(θ = 90, ϕ = 68.6)$	$(θ = 90, ϕ = 68.4)$	[3]
	${6.5143}^{x y}$	${1.2720}^{z}$	${1.0642}^{x y}$	$(θ = 90, ϕ = 41.6)$	$(θ = 90, ϕ = 41.9)$	$(θ = 90, ϕ = 42.0)$	[4]
	${8.4280}^{x y}$	${1.2180}^{z}$	${1.0642}^{x y}$	$(θ = 90, ϕ = 34)$	$(θ = 90, ϕ = 35.6)$	$(θ = 90, ϕ = 34.6)$	[4]
DFG	${3.1560}^{x}$	${1.6056}^{z}$	${1.0642}^{x}$	$(θ = 90, ϕ = 90)$	$(θ = 90, ϕ = 90)$	$(θ = 86.3, ϕ = 90)$
	${6.2321}^{x y}$	${0.88565}^{z}$	${0.77545}^{x y}$	$(θ = 90, ϕ = 55)$	$(θ = 90, ϕ = 55.1)$	$(θ = 90, ϕ = 54.4)$	[1]
	${6.8052}^{x y}$	${0.80129}^{z}$	${0.71688}^{x y}$	$(θ = 90, ϕ = 55)$	$(θ = 90, ϕ = 54.9)$	$(θ = 90, ϕ = 55.3)$	[1]

	Wavelength (μm)^a			Phase-Matching Angle (deg)	Angular Acceptance Angle ( $mrad \cdot cm$ )	$Δ T \cdot ℓ (° C \cdot cm)$
							Calculated
	$λ_{1}$	$λ_{2}$	$λ_{3}$			Measured	(K)	(P)	(Y)
SHG	${2.0520}^{y}$	${2.0520}^{y}$	$1. 0260^{z x}$	$(θ = 13.5, ϕ = 0)$	$Δ θ_{ext} \cdot ℓ = 9.30$	3.2	3.3	3.8	3.9
	${2.1940}^{y}$	${2.1940}^{y}$	${1.0970}^{z x}$	$(θ = 23.0, ϕ = 0)$	$Δ θ_{ext} \cdot ℓ = 6.60$	3.5	3.5	4.1	3.5
	${2.6216}^{x}$	${2.6216}^{z}$	${1.3108}^{x}$	$(θ = 90, ϕ = 90)$	( $Δ θ_{ext} \cdot ℓ^{1 / 2} = 443$ )^c( $Δ ϕ_{ext} \cdot ℓ^{1 / 2} = 169$ )^c	55.9	55.3	192	527
	${2.6717}^{x y}$	${2.6717}^{z}$	${1.3359}^{x y}$	$(θ = 90, ϕ = 79.0)$	$Δ ϕ_{ext} \cdot ℓ = 33.6$	76.2	75.6	557	774
	${5.2955}^{x y}$	${5.2955}^{z}$	${2.6478}^{x y}$	$(θ = 90, ϕ = 41.0)$ ^b	$Δ ϕ_{ext} \cdot ℓ = 26.3$	42.9	42.6	47.2	49.5
	${10.5910}^{y}$	${10.5910}^{y}$	${5.2955}^{z x}$	$(θ = 25.5, ϕ = 0)$	$Δ θ_{ext} \cdot ℓ = 30.4$	14.9	14.9	14.1	14.1
SFG	${3.1560}^{x}$	${1.6056}^{z}$	${1.0642}^{x}$	$(θ = 90, ϕ = 90)$	( $Δ θ_{ext} \cdot ℓ^{1 / 2} = 336$ )^c ( $Δ ϕ_{ext} \cdot ℓ^{1 / 2} = 131$ )^c	28.2	27.7	181	544
	${10.5910}^{x y}$	${5.2955}^{z}$	${3.5303}^{x y}$	$(θ = 90, ϕ = 44.9)$ ^a	$Δ ϕ_{ext} \cdot ℓ = 26.2$	77.6	80.2	66.9	81.8

				Phase-Matching Angle (deg)
	Wavelength (μm)^a				Calculated
	$λ_{1}$	$λ_{2}$	$λ_{3}$	Measured	(K)	(P)	Refs.
SHG	${2.0520}^{y}$	${2.0520}^{y}$	${1.0260}^{z x}$	$(θ = 13.5, ϕ = 0)$	$(θ = 13.5, ϕ = 0)$	$(θ = 18.2, ϕ = 90)$
	${2.1940}^{y}$	${2.1940}^{y}$	${1.0970}^{z x}$	$(θ = 23.0, ϕ = 0)$	$(θ = 23.0, ϕ = 0)$	$(θ = 15.7, ϕ = 0)$
	${2.6216}^{x}$	${2.6216}^{z}$	${1.3108}^{x}$	$(θ = 90, ϕ = 90)$	$(θ = 90, ϕ = 90)$	Not P.M.
	${2.6717}^{x y}$	${2.6717}^{z}$	${1.3359}^{x y}$	$(θ = 90, ϕ = 79.0)$	$(θ = 90, ϕ = 78.9)$	$(θ = 90, ϕ = 90)$
	${5.2955}^{x y}$	${5.2955}^{z}$	${2.6478}^{x y}$	$(θ = 90, ϕ = 41.0)$	$(θ = 90, ϕ = 41.0)$	$(θ = 90, ϕ = 43.3)$
	${10.5910}^{y}$	${10.5910}^{y}$	${5.2955}^{z x}$	$(θ = 25.5, ϕ = 0)$	$(θ = 25.5, ϕ = 0)$	$(θ = 14.1, ϕ = 0)$
SFG	${10.5910}^{x y}$	${5.2955}^{z}$	${3.5303}^{x y}$	$(θ = 90, ϕ = 45.0)$	$(θ = 90, ϕ = 44.9)$	$(θ = 90, ϕ = 50.0)$
OPO	${3.4590}^{x y}$	${1.5371}^{z}$	${1.0642}^{x y}$	$(θ = 90, ϕ = 72)$	$(θ = 90, ϕ = 72.0)$	$(θ = 90, ϕ = 72.0)$	[3]
	${3.6046}^{x y}$	${1.5100}^{z}$	${1.0642}^{x y}$	$(θ = 90, ϕ = 68.5)$	$(θ = 90, ϕ = 68.6)$	$(θ = 90, ϕ = 68.4)$	[3]
	${6.5143}^{x y}$	${1.2720}^{z}$	${1.0642}^{x y}$	$(θ = 90, ϕ = 41.6)$	$(θ = 90, ϕ = 41.9)$	$(θ = 90, ϕ = 42.0)$	[4]
	${8.4280}^{x y}$	${1.2180}^{z}$	${1.0642}^{x y}$	$(θ = 90, ϕ = 34)$	$(θ = 90, ϕ = 35.6)$	$(θ = 90, ϕ = 34.6)$	[4]
DFG	${3.1560}^{x}$	${1.6056}^{z}$	${1.0642}^{x}$	$(θ = 90, ϕ = 90)$	$(θ = 90, ϕ = 90)$	$(θ = 86.3, ϕ = 90)$
	${6.2321}^{x y}$	${0.88565}^{z}$	${0.77545}^{x y}$	$(θ = 90, ϕ = 55)$	$(θ = 90, ϕ = 55.1)$	$(θ = 90, ϕ = 54.4)$	[1]
	${6.8052}^{x y}$	${0.80129}^{z}$	${0.71688}^{x y}$	$(θ = 90, ϕ = 55)$	$(θ = 90, ϕ = 54.9)$	$(θ = 90, ϕ = 55.3)$	[1]

	Wavelength (μm)^a			Phase-Matching Angle (deg)	Angular Acceptance Angle ( $mrad \cdot cm$ )	$Δ T \cdot ℓ (° C \cdot cm)$
							Calculated
	$λ_{1}$	$λ_{2}$	$λ_{3}$			Measured	(K)	(P)	(Y)
SHG	${2.0520}^{y}$	${2.0520}^{y}$	$1. 0260^{z x}$	$(θ = 13.5, ϕ = 0)$	$Δ θ_{ext} \cdot ℓ = 9.30$	3.2	3.3	3.8	3.9
	${2.1940}^{y}$	${2.1940}^{y}$	${1.0970}^{z x}$	$(θ = 23.0, ϕ = 0)$	$Δ θ_{ext} \cdot ℓ = 6.60$	3.5	3.5	4.1	3.5
	${2.6216}^{x}$	${2.6216}^{z}$	${1.3108}^{x}$	$(θ = 90, ϕ = 90)$	( $Δ θ_{ext} \cdot ℓ^{1 / 2} = 443$ )^c( $Δ ϕ_{ext} \cdot ℓ^{1 / 2} = 169$ )^c	55.9	55.3	192	527
	${2.6717}^{x y}$	${2.6717}^{z}$	${1.3359}^{x y}$	$(θ = 90, ϕ = 79.0)$	$Δ ϕ_{ext} \cdot ℓ = 33.6$	76.2	75.6	557	774
	${5.2955}^{x y}$	${5.2955}^{z}$	${2.6478}^{x y}$	$(θ = 90, ϕ = 41.0)$ ^b	$Δ ϕ_{ext} \cdot ℓ = 26.3$	42.9	42.6	47.2	49.5
	${10.5910}^{y}$	${10.5910}^{y}$	${5.2955}^{z x}$	$(θ = 25.5, ϕ = 0)$	$Δ θ_{ext} \cdot ℓ = 30.4$	14.9	14.9	14.1	14.1
SFG	${3.1560}^{x}$	${1.6056}^{z}$	${1.0642}^{x}$	$(θ = 90, ϕ = 90)$	( $Δ θ_{ext} \cdot ℓ^{1 / 2} = 336$ )^c ( $Δ ϕ_{ext} \cdot ℓ^{1 / 2} = 131$ )^c	28.2	27.7	181	544
	${10.5910}^{x y}$	${5.2955}^{z}$	${3.5303}^{x y}$	$(θ = 90, ϕ = 44.9)$ ^a	$Δ ϕ_{ext} \cdot ℓ = 26.2$	77.6	80.2	66.9	81.8

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