Abstract
Ferroelectric domain wall is modeled as a stretched membrane. For an electric field E(t) = E 0+ E 1sinωt, with E 1sufficiently weak, the oscillation problem reduces to a linear boundary value problem from which dispersion relationships are calculated. Hysteretic effect is introduced into the model through the effective field. Predicted dependence of permittivity on frequency and electric field agree with experiments. As the domain size is reduced a diminution of the dielectric response and tunability occurs. The same effect is observed experimentally when the grain size is diminished, pointing to domain size reduction as a possible cause of the observed behavior.
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