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Anisotropy of electrostatic interaction in free-standing smectic-C^{*} films.

The correlation function of the director fluctuations in a free-standing smectic ferroelectric film is calculated theoretically. In the functional of free energy, the anisotropy of the Coulomb interaction of polarization charges is taken into account. The results of calculations were used to obtain the angular dependences of scattered light intensity. It has been shown that for relatively thick films, the anisotropy of the Coulomb interaction of polarization charges can change significantly the scattered light intensity.