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We disclose the vertically aligned deformed helix ferroelectric liquidcrystal (VADHFLC) whose Kerr constant ($K_{\mathrm{kerr}}\approx 130$~nm/V$^2$at $\lambda=543$~nm) is one order of magnitude higher than any other valuepreviously reported for liquid crystalline structures. Under certainconditions, the phase modulation with ellipticity less than 0.05 over the rangeof continuous and hysteresis free electric adjustment of the phase shift fromzero to 2$\pi$ have been obtained at sub-kilohertz frequency.

Enhanced Kerr effect in vertically aligned deformed helix ferroelectric liquid crystals