Photoelasticity of CNGS crystals

Bohdan Mytsyk; Alessandro Erba; Jefferson Maul; Nataliya Demyanyshyn; Pavlo Shchepanskyi; Oleh Syrotynsky

doi:10.1364/AO.500906

Applied Optics
Vol. 62,
Issue 30,
pp. 7952-7959
(2023)
•https://doi.org/10.1364/AO.500906

Photoelasticity of CNGS crystals

Bohdan Mytsyk, Alessandro Erba, Jefferson Maul, Nataliya Demyanyshyn, Pavlo Shchepanskyi, and Oleh Syrotynsky

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Bohdan Mytsyk, Alessandro Erba, Jefferson Maul, Nataliya Demyanyshyn, Pavlo Shchepanskyi, and Oleh Syrotynsky, "Photoelasticity of CNGS crystals," Appl. Opt. 62, 7952-7959 (2023)

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Abstract

All piezo-optic coefficients (POCs) and elasto-optic coefficients (ELOCs) of ${{\rm Ca}_3}{{\rm NbGa}_3}{{\rm Si}_2}{{\rm O}_{14}}$ (CNGS) and ${{\rm Ca}_3}{{\rm TaGa}_3}{{\rm Si}_2}{{\rm O}_{14}}$ (CTGS) trigonal crystals of the langasite group are determined from quantum mechanical calculations based on the hybrid density functional theory, as implemented in the CRYSTAL program. The calculation results for CTGS crystals are compared with experimental data. Indicative surfaces of piezo- and elasto-optic effects are constructed based on the POC and ELOC matrices of CNGS crystals and the largest values of these effects are determined. The maximum values of the coefficient of the acousto-optic figure of merit ${M_2}$ of the CNGS crystal are determined for the geometries of elasto-optic interaction, which correspond to the maxima of the elasto-optic effect. These results are compared to the corresponding results for CTGS and langasite crystals. The spectral dependence of the POCs and ELOCs of CNGS and CTGS crystals on the light wavelength is investigated in the 600–1500 nm range.

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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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$π_{im}$	$π_{11}$	$π_{12}$	$π_{13}$	$π_{31}$	$π_{33}$	$π_{14}$	$π_{41}$	$π_{44}$
CNGS (calculation)	−0.40	0.69	0.41	1.02	−1.13	0.81	0.41	−0.79
CTGS (calculation)	−0.48	0.88	0.40	1.03	−1.12	0.65	0.35	−0.84
CTGS (experiment [33])	$- 0.19 \pm 0.06$	$0.22 \pm 0.09$	$0.53 \pm 0.12$	$1.40 \pm 0.19$	$- 1.20 \pm 0.09$	$0.72 \pm 0.11$	$0.32 \pm 0.11$	$- 0.81 \pm 0.40$

$p_{ik}$	$p_{11}$	$p_{12}$	$p_{13}$	$p_{31}$	$p_{33}$	$p_{14}$	$p_{41}$	$p_{44}$
CNGS (calculation)	0.017	0.116	0.119	0.160	−0.107	0.036	0.037	−0.036
CTGS (calculation)	0.019	0.137	0.126	0.163	−0.104	0.031	0.031	−0.039
CTGS (experiment [33])	$0.008 \pm 0.010$	$0.044 \pm 0.013$	$0.096 \pm 0.022$	$0.165 \pm 0.031$	$- 0.088 \pm 0.031$	$0.029 \pm 0.005$	$0.029 \pm 0.015$	$- 0.033 \pm 0.017$

$π_{im}$	$π_{11}$	$π_{12}$	$π_{13}$	$π_{31}$	$π_{33}$	$π_{14}$	$π_{41}$	$π_{44}$
CNGS (calculation)	−0.40	0.69	0.41	1.02	−1.13	0.81	0.41	−0.79
CTGS (calculation)	−0.48	0.88	0.40	1.03	−1.12	0.65	0.35	−0.84
CTGS (experiment [33])	$- 0.19 \pm 0.06$	$0.22 \pm 0.09$	$0.53 \pm 0.12$	$1.40 \pm 0.19$	$- 1.20 \pm 0.09$	$0.72 \pm 0.11$	$0.32 \pm 0.11$	$- 0.81 \pm 0.40$

$p_{ik}$	$p_{11}$	$p_{12}$	$p_{13}$	$p_{31}$	$p_{33}$	$p_{14}$	$p_{41}$	$p_{44}$
CNGS (calculation)	0.017	0.116	0.119	0.160	−0.107	0.036	0.037	−0.036
CTGS (calculation)	0.019	0.137	0.126	0.163	−0.104	0.031	0.031	−0.039
CTGS (experiment [33])	$0.008 \pm 0.010$	$0.044 \pm 0.013$	$0.096 \pm 0.022$	$0.165 \pm 0.031$	$- 0.088 \pm 0.031$	$0.029 \pm 0.005$	$0.029 \pm 0.015$	$- 0.033 \pm 0.017$

Abstract

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Equations (6)

Applied Optics