Efficient acousto-optic crystal, TlInS<sub>2</sub>: acoustic and elastic anisotropy

I. Martynyuk-Lototska; I. Trach; O. Kokhan; R. Vlokh

doi:10.1364/AO.56.003179

Applied Optics
Vol. 56,
Issue 11,
pp. 3179-3184
(2017)
•https://doi.org/10.1364/AO.56.003179

Efficient acousto-optic crystal, TlInS₂: acoustic and elastic anisotropy

I. Martynyuk-Lototska, I. Trach, O. Kokhan, and R. Vlokh

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I. Martynyuk-Lototska, I. Trach, O. Kokhan, and R. Vlokh, "Efficient acousto-optic crystal, TlInS₂: acoustic and elastic anisotropy," Appl. Opt. 56, 3179-3184 (2017)

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Abstract

We have studied experimentally the acoustic wave velocities for ${TlInS}_{2}$ crystals and determined all components of their elastic stiffness and compliance tensors. It has been found that ${TlInS}_{2}$ reveals small elastic anisotropy with respect to normal mechanical stresses. The compliance components $S_{44}$ and $S_{55}$ are very large, thus suggesting that the ${TlInS}_{2}$ crystals are extremely compliant to the shear stresses in the cleavage plane. We have also revealed that the velocities of some of the quasi-transverse waves are very low ( $\sim 725 m / s$ ), leading to extremely high acousto-optic figures of merit ( $\sim 2200 - 9000 \times 10^{- 15} s^{3} / kg$ ). This implies that the crystals under study can prove to be a very efficient acousto-optic material.

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Directions of Propagation and Polarization of AW, $i j$	Type of AW	AW Velocity $v_{i j}$ (m/s)	Directions of Propagation and Polarization of AW, $i j$	Type of AW	AW Velocity $v_{i j}$ (m/s)
11	QL	$2825 \pm 30$	32	QT	$730 \pm 5$
22	QL	$2773 \pm 20$	21	QT	$1926 \pm 13$
33	QL	$2811 \pm 20$	23	QT	$730 \pm 8$
44	QL	$2630 \pm 30$	$5 \bar{5}$	QT	$1350 \pm 20$
55	QL	$2565 \pm 35$	52	QT	$1423 \pm 20$
66	QL	$3115 \pm 10$	$4 \bar{4}$	QT	$1353 \pm 20$
12	QT	$1910 \pm 20$	63	QT	$730 \pm 5$
13	QT	$725 \pm 10$	$6 \bar{6}$	QT	$1212 \pm 8$
31	QT	$725 \pm 5$	41	QT	$1446 \pm 20$

Elastic Stiffness Coefficient $C_{i j}$	Coefficient Value, $10^{9} N / m^{2}$	Elastic Stiffness Coefficient $C_{i j}$	Coefficient Value, $10^{9} N / m^{2}$
$C_{11}$	$44.57 \pm 2.72$	$C_{55}$	$2.97 \pm 0.08$
$C_{22}$	$43.28 \pm 0.87$	$C_{66}$	$21.01 \pm 0.42$
$C_{33}$	$44.57 \pm 0.64$	$C_{16}$	$- 3.23 \pm 0.11$
$C_{12}$	$26.96 \pm 1.21$	$C_{26}$	$1.42 \pm 0.04$
$C_{13}$	$- 32.56 \pm 3.71$	$C_{36}$	$4.04 \pm 0.64$
$C_{23}$	$22.84 \pm 2.51$	$C_{45}$	$- 0.021 \pm 0.001$
$C_{44}$	$3.01 \pm 0.07$

Elastic Compliance Coefficient $S_{j k}$	Coefficient Value, $10^{- 12} m^{2} / N$	Elastic Compliance Coefficient $S_{j k}$	Coefficient Value, $10^{- 12} m^{2} / N$
$S_{11}$	$- 25.28 \pm 8.79$	$S_{55}$	$336.72 \pm 8.83$
$S_{22}$	$- 16.65 \pm 6.61$	$S_{66}$	$48.45 \pm 0.80$
$S_{33}$	$- 21.30 \pm 5.64$	$S_{16}$	$0.76 \pm 1.05$
$S_{12}$	$34.95 \pm 8.17$	$S_{26}$	$- 0.05 \pm 1.03$
$S_{13}$	$- 36.45 \pm 8.01$	$S_{36}$	$- 3.81 \pm 0.94$
$S_{23}$	$34.07 \pm 6.84$	$S_{45}$	$2.35 \pm 0.03$
$S_{44}$	$332.24 \pm 7.55$

Directions of Propagation and Polarization of AW, $i j$	Type of AW	AW Velocity $v_{i j}$ (m/s)	Directions of Propagation and Polarization of AW, $i j$	Type of AW	AW Velocity $v_{i j}$ (m/s)
11	QL	$2825 \pm 30$	32	QT	$730 \pm 5$
22	QL	$2773 \pm 20$	21	QT	$1926 \pm 13$
33	QL	$2811 \pm 20$	23	QT	$730 \pm 8$
44	QL	$2630 \pm 30$	$5 \bar{5}$	QT	$1350 \pm 20$
55	QL	$2565 \pm 35$	52	QT	$1423 \pm 20$
66	QL	$3115 \pm 10$	$4 \bar{4}$	QT	$1353 \pm 20$
12	QT	$1910 \pm 20$	63	QT	$730 \pm 5$
13	QT	$725 \pm 10$	$6 \bar{6}$	QT	$1212 \pm 8$
31	QT	$725 \pm 5$	41	QT	$1446 \pm 20$

Elastic Stiffness Coefficient $C_{i j}$	Coefficient Value, $10^{9} N / m^{2}$	Elastic Stiffness Coefficient $C_{i j}$	Coefficient Value, $10^{9} N / m^{2}$
$C_{11}$	$44.57 \pm 2.72$	$C_{55}$	$2.97 \pm 0.08$
$C_{22}$	$43.28 \pm 0.87$	$C_{66}$	$21.01 \pm 0.42$
$C_{33}$	$44.57 \pm 0.64$	$C_{16}$	$- 3.23 \pm 0.11$
$C_{12}$	$26.96 \pm 1.21$	$C_{26}$	$1.42 \pm 0.04$
$C_{13}$	$- 32.56 \pm 3.71$	$C_{36}$	$4.04 \pm 0.64$
$C_{23}$	$22.84 \pm 2.51$	$C_{45}$	$- 0.021 \pm 0.001$
$C_{44}$	$3.01 \pm 0.07$

Abstract

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Equations (7)

Applied Optics