We determine full matrices of piezo-optic and elasto-optic coefficients for lead germanate crystals, ${\rm Pb}_5{\rm Ge}_3{{\rm O}_{11}}$, using Dixon–Cohen and interferometric methods. Two different types of samples are studied, single- and multi-domain. We show that the correct data for the ${\rm Pb}_5{\rm Ge}_3{{\rm O}_{11}}$ crystals can be obtained only with single-domain samples, since the domain structure induces a number of features that make the final results unreliable. We demonstrate that the acousto-optic figures of merit reach high-enough values at the isotropic acousto-optic interactions with longitudinal acoustic waves propagating along the principal $ x $ and $ z $ axes ($63 \times {10^{-15}}$ and $37 \times {10^{-15}}\;{{\rm s}^3}/{\rm kg}$), respectively. At the same time, the efficiency of the acousto-optic interactions with transverse acoustic waves is low. The same is true concerning anisotropic acousto-optic diffraction, since the appropriate elasto-optic coefficients are small enough.
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A unit of Brewster is defined as follows: $1\! B = 10\;{{\rm m}^2}/{\rm N}$.
Coefficients for which the mean values are less than the mean-square deviation.
Table 3.
Effective EO Coefficients for the Crystals Determined for the Multi- and Single-Domain Samples with the Dixon–Cohen Methoda
Diffraction at Quasi-Longitudinal Acoustic Wave
Direction of Acoustic Wave Propagation
Direction of Acoustic Wave Polarization
Direction of Optical Propagation
Direction of Optical Polarization
Relation for the Effective EO Coefficient (single-domain sample)
Effective EO Coefficient (single-domain sample)
Relation for the Effective EO Coefficient (multi-domain sample)
Errors are calculated for the confidence level of 90%.
The ${p_{{\rm eff}}}$ value calculated from the ${p_{11}}$ and ${p_{12}}$ coefficients is equal to $0.306 \pm 0.035$.
Table 4.
Piezo-Optic (in the units of ) and EO Coefficients for the Crystals, as Measured at and the Temperature
POCs Measured with Interferometric Method (single-domain samples)
EO Coefficients Determined in the Present Work with the Dixon–Cohen Method (multi-domain sample)
Elasto-optic coefficients for which the error of determination exceeds the mean value.
The signs of ${p_{16}}$ and ${p_{15}}$ coefficients are determined using the interferometric technique.
Tables (4)
Table 1.
Elastic Stiffness and Compliance Coefficients Known for the Crystals
A unit of Brewster is defined as follows: $1\! B = 10\;{{\rm m}^2}/{\rm N}$.
Coefficients for which the mean values are less than the mean-square deviation.
Table 3.
Effective EO Coefficients for the Crystals Determined for the Multi- and Single-Domain Samples with the Dixon–Cohen Methoda
Diffraction at Quasi-Longitudinal Acoustic Wave
Direction of Acoustic Wave Propagation
Direction of Acoustic Wave Polarization
Direction of Optical Propagation
Direction of Optical Polarization
Relation for the Effective EO Coefficient (single-domain sample)
Effective EO Coefficient (single-domain sample)
Relation for the Effective EO Coefficient (multi-domain sample)
Errors are calculated for the confidence level of 90%.
The ${p_{{\rm eff}}}$ value calculated from the ${p_{11}}$ and ${p_{12}}$ coefficients is equal to $0.306 \pm 0.035$.
Table 4.
Piezo-Optic (in the units of ) and EO Coefficients for the Crystals, as Measured at and the Temperature
POCs Measured with Interferometric Method (single-domain samples)
EO Coefficients Determined in the Present Work with the Dixon–Cohen Method (multi-domain sample)
Elasto-optic coefficients for which the error of determination exceeds the mean value.
The signs of ${p_{16}}$ and ${p_{15}}$ coefficients are determined using the interferometric technique.