Electrooptic and piezoelectric measurements in photorefractive barium titanate and strontium barium niobate

We have measured the low-frequency ("unclamped") electrooptic and piezoelectric coefficients in undoped BaTiO3and SrxBa1-xNb2O6(x = 0.61) crystals using interferometric techniques. The contribution of the piezoelectric effect to the Pockels measurements is discussed. For an applied ac electric field in the range 0.1-200 V/cm, the electrooptic and piezoelectric effects are linear in the magnitude of the applied field and independent of its frequency in the range 10 Hz-100 kHz. The unclamped electrooptic coefficients of poled BaTiO3single crystals arer_{13} = 19.5 pm 1pm/V andr_{33} = 97 pm 7pm/V, and for strontium barium niobate arer_{13} = 47 pm 5pm/V andr_{33} = 235 pm 21pm/V, all measured at a wavelength of 514.5 nm and atT = 23degC. For the barium titanate samples the measured Pockels coefficientr_{c} equiv r_{33} - (n_{1}/n_{3})^{3} r_{13} = 79 pm 6pm/V is in good agreement with the valuer_{c} = 76 pm 7pm/V computed from the above values of r13and r33, where n1and n3are the ordinary and extraordinary indexes of refraction, respectively. The measured piezoelectric ] coefficient isd_{23} = +28.7 pm 2pm/V for barium titanate, and isd_{23} = +24.6 pm 2pm/V for strontium barium niobate. We also measured the photorefractive coupling of two optical beams in the crystals, and we show that the dependence of the coupling strength on beam polarization is in fair agreement with the measured values of the Pockels coefficients.