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We study both theoretically and experimentally the electro-optical propertiesof vertically aligned deformed helix ferroelectric liquid crystals (VADHFLC)with subwavelength pitch that are governed by the electrically induced opticalbiaxiality of the smectic helical structure. The key theoretical result is thatthe principal refractive indices of homogenized VADHFLC cells exhibit thequadratic nonlinearity and such behavior might be interpreted as theorientational "Kerr effect" caused by the electric-field-induced orientationaldistortions of the FLC helix. In our experiments, it has been observed that,for sufficiently weak electric fields, the magnitude of biaxiality isproportional to the square of electric field in good agreement with ourtheoretical results for the effective dielectric tensor of VADHFLCs. Undercertain conditions, the 2$\pi$ phase modulation of light, which is caused byone of the induced refractive indices, is observed without changes inellipticity of incident light.

Orientational "Kerr effect" and phase modulation of light in deformed-helix ferroelectric liquid crystals with subwavelength pitch