Contribution of spontaneous polarization and its fluctuations to refraction of light in ferroelectrics

The expressions for the spontaneous polar contribution δ n i s to the principal values of the refractive index due to the quadratic electro-optic effect in ferroelectrics have been considered within the phenomenological approach taking into account the polarization fluctuations. A method has been proposed for calculating the magnitude and temperature dependence of the root-mean-square fluctuations of the polarization (short-range local polar order) P sh = 〈 P fl 2 〉 1/2 below the ferroelectric transition temperature T c from temperature changes in the spontaneous polar contribution δ n i s ( T ) if the average spontaneous polarization P s = 〈 P 〉 characterizing the long-range order is determined from independent measurements (for example, from dielectric hysteresis loops). For the case of isotropic fluctuations, the proposed method has made it possible to calculate P sh and P s only from refractometric measurements. It has been shown that, upon interferometric measurements, the method developed in this work allows calculating P sh and P s directly from the measured temperature and electric-field changes in the relative optical path (the specific optical retardation) of the light.