Berry effect in acoustical polarization transport in phononic crystals

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.

To appear in JETP Lett

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Cited by in corpus (9)

• Dualities and non-Abelian mechanics
• Geometric optics of Bloch waves in a chiral and dissipative medium
• Geometric aspects of phonon polarization transport
• Berry Effect in Unmagnetized Inhomogeneous Cold Plasmas
• Paraxial propagation in amorphous optical media with screw dislocation
• Cosmological Birefringence and the Geometric Phase of Photons
• Paraxial propagation in disclinated amorphous media
• A Quantum Mechanical Approach To The Polarization Transport of Photons
• Spin Hall effect of light in inhomogeneous axion field