The quadratic electrooptic response of a noncentrosymmetric uniaxial crystal may origin either from the real quadratic electrooptic effect or a complex indirect contributions, that despite the fact that are related to the linear electrooptic effect, are proportional to the square of the applied electric field. Within indirect contributions, those due to the linear electrooptic modulation of the light intensity and the modulation of the distance between axes of two partially interfering refracted light beams are of greatest importance [1]. Although the latter effect is usually unintended, it is often unavoidable in real electrooptic devices. Considering the low-temperature ferroelectric phase of BaTiO₃, one can observe relatively large difference between individual linear electrooptic coefficients [2]. Therefore, the indirect quadratic effect in the crystal depends strongly on the direction of the modulating electric field and the direction of the light beam.

In our work we analyse different configurations and show that the effective coefficient of the indirect quadratic electrooptic effect may be comparable or even higher than the experimental values of quadratic coefficients reported in Ref. [3]. Our analysis is based on the extended Jones matrix calculus, where the partial interference of shifted refracted beams is allowed for [4]. A Gaussian distribution of the light intensity within its cross-sections is considered [5].

This work has been supported by Polish Ministry of Science and Information Society Technologies, grant no. 1 P03B 102 29.

[1] M. Izdebski and W. Kucharczyk, J. Opt. A: Pure Appl. Opt 7, 204 (2005).

[2] R. L. Sutherland, Handbook of Nonlinear Optics, Marcel Dekker Inc., New York - Basel, 2003.

[3] M. Melnichuk and L. T. Wood, J. Opt. Soc. Am. A 22, 337 (2005).

[4] M. Izdebski and W. Kucharczyk, J. Opt. Soc. Am. A 21, 132 (2004).

[5] M. Izdebski and W. Kucharczyk, J. Opt. Soc. Am. A 23, 1746 (2006).

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1. Temperature dependence of the linear electrooptic coefficients r₁₁₃ and r₃₃₃ in lithium niobate