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VOLUME 88 (2008) | ISSUE 9 | PAGE 681
Berry effect in acoustical polarization transport in phononic crystals
PACS: 03.65.Vf, 03.65.Sq, 43.35.+d
Abstract
We derive the semiclassical equations of motion of a transverse acoustical wave packet propagating in a phononic crystal, subject to slowly varying perturbations. The formalism gives rise to Berry effect terms in the equations of motion, manifested as the Rytov polarization rotation law and the polarization-dependent Hall effect. We show that the formalism is also applicable to the case of non-periodic inhomogeneous media, yielding explicit expressions for the Berry effect terms.