A theory is presented for the forward growth of ferroelectric domains taking place during polarization reversal. A faster forward motion in comparison with a sidewise motion is explained in terms of forces arising from the depolarization field of the growing domain. Dynamic equations for the time dependence of the domain length and radius are derived and solved. The calculation shows that in a strong electric field the forward velocity of the domain in barium titanate exceeds the lateral velocity by a large factor. This explains the observed rapid growth of new domains throughout the sample thickness without significant changes in their lateral sizes.
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