Abstract
We have studied the nonlinear electrooptical relaxation spectra of the Goldstone mode in the ferroelectric SmC* phase and antiferroelectric SmCA* phase of an antiferroelectric liquid crystal (AFLC). In the SmC* phase, the experimentally obtained linear spectrum shows a single relaxation of Debye type and the second and third-order nonlinear spectra show extended forms of Debye type to nonlinear case. In the SmCA* phase, the linear spectrum shows no relaxation under 20kHz, but the second-order nonlinear spectrum shows a Debye type single relaxation corresponding to the antiferroelectric Goldstone mode. We have also studied the electrooptical response in these two phases by means of the torque balance equation describing the dynamics of the Goldstone mode. The calculated nonlinear spectra are found to be in a good agreement with experimentally obtained ones.
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