# Manifestation of the Berry curvature in geophysical ray tracing

@article{Perez2021ManifestationOT, title={Manifestation of the Berry curvature in geophysical ray tracing}, author={N. Perez and Pierre Delplace and A. Venaille}, journal={Proceedings of the Royal Society A}, year={2021}, volume={477} }

Geometrical phases, such as the Berry phase, have proven to be powerful concepts to understand numerous physical phenomena, from the precession of the Foucault pendulum to the quantum Hall effect and the existence of topological insulators. The Berry phase is generated by a quantity named the Berry curvature, which describes the local geometry of wave polarization relations and is known to appear in the equations of motion of multi-component wave packets. Such a geometrical contribution in ray…

## One Citation

From the geometry of Foucault pendulum to the topology of planetary waves

- Physics
- 2020

The physics of topological insulators makes it possible to understand and predict the existence of unidirectional waves trapped along an edge or an interface. In this review, we describe how these…

## References

SHOWING 1-10 OF 57 REFERENCES

Measurement of the Berry curvature of solids using high-harmonic spectroscopy

- Medicine, PhysicsNature Communications
- 2018

This work reports polarimetry of high-harmonic emission from solids and exploits this novel capability to directly retrieve the Berry curvature of α-quartz using semiclassical transport theory, and retrieves the Berry phase from spectra measured in perpendicular polarization.

Mapping the Berry curvature from semiclassical dynamics in optical lattices

- Physics
- 2012

We propose a general method by which experiments on ultracold gases can be used to determine the topological properties of the energy bands of optical lattices, as represented by the map of the Berry…

Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects

- Physics
- 1999

We present a unified theory for wave-packet dynamics of electrons in crystals subject to perturbations varying slowly in space and time. We derive the wave-packet energy up to the first-order…

Topological origin of equatorial waves

- Medicine, PhysicsScience
- 2017

A topological origin is shown for two well-known equatorially trapped waves, the Kelvin and Yanai modes, owing to the breaking of time-reversal symmetry by Earth's rotation, which demonstrates that ocean and atmospheric waves share fundamental properties with topological insulators and that topology plays an unexpected role in Earth's climate system.

Topological transition in stratified fluids

- PhysicsNature Physics
- 2019

Lamb waves are trapped acoustic-gravity waves that propagate energy over great distances along a solid boundary in density-stratified, compressible fluids1,2. They constitute useful indicators of…

Berry phase effects on electronic properties

- Materials Science, Physics
- 2007

Ever since its discovery, the Berry phase has permeated through all branches of physics. Over the last three decades, it was gradually realized that the Berry phase of the electronic wave function…

Quasi-local method of wave decomposition in a slowly varying medium

- PhysicsJournal of Fluid Mechanics
- 2019

The general asymptotic theory for wave propagation in a slowly varying medium, classically known as the Wentzel–Kramers–Brillouin–Jeffreys (WKBJ) approximation, is revisited here with the aim of…

Geometric phases in the asymptotic theory of coupled wave equations.

- Physics, MedicinePhysical review. A, Atomic, molecular, and optical physics
- 1991

It turns out that a version of Berry's phase is incorporated into the symplectic structure in the ray phase space, influencing the classical Hamiltonian orbits, the construction of solutions to the Hamiltonian-Jacobi equation, and the computation of action integrals.

Geometric Phases in Physics

- Physics
- 1989

During the last few years, considerable interest has been focused on the phase that waves accumulate when the equations governing the waves vary slowly. The recent flurry of activity was set off by a…

Wentzel–Kramers–Brillouin approximation for atmospheric waves

- PhysicsJournal of Fluid Mechanics
- 2015

Ray and Wentzel–Kramers–Brillouin (WKB) approximations have long been important tools in understanding and modelling propagation of atmospheric waves. However, contradictory claims regarding the…