Anisotropy of the acousto-optic figure of merit for LiNbO<sub>3</sub> crystals: isotropic diffraction

Oksana Mys; Myroslav Kostyrko; Oleh Krupych; Rostyslav Vlokh

doi:10.1364/AO.54.008176

Applied Optics
Vol. 54,
Issue 27,
pp. 8176-8186
(2015)
•https://doi.org/10.1364/AO.54.008176

Anisotropy of the acousto-optic figure of merit for LiNbO₃ crystals: isotropic diffraction

Oksana Mys, Myroslav Kostyrko, Oleh Krupych, and Rostyslav Vlokh

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Oksana Mys, Myroslav Kostyrko, Oleh Krupych, and Rostyslav Vlokh, "Anisotropy of the acousto-optic figure of merit for LiNbO₃ crystals: isotropic diffraction," Appl. Opt. 54, 8176-8186 (2015)

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Abstract

We have developed an approach for analyzing the anisotropy of the acousto-optic figure of merit (AOFM) for lithium niobate crystals in the case of isotropic acousto-optic (AO) diffraction. The working relations for the effective elasto-optic coefficients and the AOFM have been derived. We have found that, under the conditions of isotropic AO diffraction, the maximum AOFM value for ${LiNbO}_{3}$ is equal to $11.62 \times 10^{- 15} s^{3} / kg$ . This is peculiar for the geometry of AO interaction of the shear acoustic wave propagating in the $Y - Z$ plane (the velocity 3994 m/s) with the optical wave polarized in the same plane. We have demonstrated that the maximum AOFM values are achieved mainly due to the essential anisotropy and high values of the elasto-optic coefficient of ${LiNbO}_{3}$ .

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Type of AO interaction	(I)	(II)	(III)	(IV)	(V)	(VI)
$M_{2}$ ( $10^{- 15} s^{3} / kg$ )	3.11	7.36	4.72	11.62	5.58	10.03
$θ_{X, Y}$ (deg)	$θ_{X} = 51$	$θ_{X} = 50$ , 230	$θ_{Y} = 19$ , 199, 161, 341	$θ_{X} = 157.5$ , 337.5	$θ_{X} = 55$ , 235	$θ_{X} = 82.5$ , 262.5
$φ_{X, Y, Z}$ (deg)	$ϕ_{Z} = 90$	$ϕ_{Z} = 10$	$ϕ_{Y} = 45$ , 135	$ϕ_{Z} = 90$	$ϕ_{X} = 150$	$ϕ_{X} = 135$

#	AW	Optical Wave Polarization	$M_{2}$ ( $10^{- 15} s^{3} / kg$ ) [13]	$M_{2}$ ( $10^{- 15} s^{3} / kg$ ) [25]	$p_{e f}$ [26]	$M_{2}$ ( $10^{- 15} s^{3} / kg$ ; Type of AO Interaction) According to our Data	$p_{e f}$ According to Our Data [21]
1	$v_{11}$	$Z$	2.74	2.05	0.138	2.09 (II)	$p_{31} = 0.157$
2	$v_{11}$	$∥ Y$	0.56	0.783	0.096	0.614 (I)	$p_{21} = 0.076$
3	$v_{22}$	$∥ Z$		2.03		2.09 (II)	$p_{31} = 0.157$
4	$v_{33}$	$∥ Z$	0.46	0.466	0.076	1.3 (II)	$p_{33} = 0.141$
5	$v_{33}$	$⊥ Z$	0.64	0.725	0.106	1.76 (I)	$p_{13} = 0.147$
6	$v_{11}$	$∥ X$	0.14	0.172	0.045	0.045 (II)	$p_{11} = - 0.023$

Type of AO interaction	(I)	(II)	(III)	(IV)	(V)	(VI)
$M_{2}$ ( $10^{- 15} s^{3} / kg$ )	3.11	7.36	4.72	11.62	5.58	10.03
$θ_{X, Y}$ (deg)	$θ_{X} = 51$	$θ_{X} = 50$ , 230	$θ_{Y} = 19$ , 199, 161, 341	$θ_{X} = 157.5$ , 337.5	$θ_{X} = 55$ , 235	$θ_{X} = 82.5$ , 262.5
$φ_{X, Y, Z}$ (deg)	$ϕ_{Z} = 90$	$ϕ_{Z} = 10$	$ϕ_{Y} = 45$ , 135	$ϕ_{Z} = 90$	$ϕ_{X} = 150$	$ϕ_{X} = 135$

#	AW	Optical Wave Polarization	$M_{2}$ ( $10^{- 15} s^{3} / kg$ ) [13]	$M_{2}$ ( $10^{- 15} s^{3} / kg$ ) [25]	$p_{e f}$ [26]	$M_{2}$ ( $10^{- 15} s^{3} / kg$ ; Type of AO Interaction) According to our Data	$p_{e f}$ According to Our Data [21]
1	$v_{11}$	$Z$	2.74	2.05	0.138	2.09 (II)	$p_{31} = 0.157$
2	$v_{11}$	$∥ Y$	0.56	0.783	0.096	0.614 (I)	$p_{21} = 0.076$
3	$v_{22}$	$∥ Z$		2.03		2.09 (II)	$p_{31} = 0.157$
4	$v_{33}$	$∥ Z$	0.46	0.466	0.076	1.3 (II)	$p_{33} = 0.141$
5	$v_{33}$	$⊥ Z$	0.64	0.725	0.106	1.76 (I)	$p_{13} = 0.147$
6	$v_{11}$	$∥ X$	0.14	0.172	0.045	0.045 (II)	$p_{11} = - 0.023$

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Applied Optics