Electro-optical properties of deformed helix ferroelectric liquid crystal(DHFLC) cells are studied by using a general theoretical approach topolarization gratings in which the transmission and reflection matrices ofdiffraction orders are explicitly related to the evolution operator ofequations for the Floquet harmonics. In the short-pitch approximation, a DHFLCcell is shown to be optically equivalent to a uniformly anisotropic biaxiallayer where one of the optical axes is normal to the substrates. For in-planeanisotropy, orientation of the optical axes and birefringence are bothdetermined by the voltage applied across the cell and represent the parametersthat govern the transmittance of normally incident light passing throughcrossed polarizers. We calculate the transmittance as a function of the appliedvoltage and compare the computed curves with the experimental data. Thetheoretical and experimental results are found to be in good agreement.
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