1. Topological Signature of Stratospheric Poincare -- Gravity Waves
- Author
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Xu, Weixuan, Fox-Kemper, Baylor, Lee, Jung-Eun, Marston, J. B., and Zhu, Ziyan
- Subjects
Physics - Geophysics ,Physics - Atmospheric and Oceanic Physics ,Condensed Matter - Mesoscale and Nanoscale Physics ,Atmospheric and Oceanic Physics (physics.ao-ph) ,Mesoscale and Nanoscale Physics (cond-mat.mes-hall) ,Fluid Dynamics (physics.flu-dyn) ,FOS: Physical sciences ,Physics - Fluid Dynamics ,Geophysics (physics.geo-ph) - Abstract
The rotation of the earth breaks time-reversal and reflection symmetries in an opposite sense north and south of the equator, leading to a topological origin for certain atmospheric and oceanic equatorial waves. Away from the equator the rotating shallow water and stably stratified primitive equations exhibit Poincare inertio-gravity waves that have nontrivial topology as evidenced by their strict superinertial timescale and a phase singularity in frequency-wavevector space. This non-trivial topology then predicts, via the principle of bulk-interface correspondence, the existence of two equatorial waves along the equatorial interface, the Kelvin and Yanai waves. To directly test the nontrivial topology of Poincare-gravity waves in observations, we examine ERA5 reanalysis data and study cross-correlations between the wind velocity and geopotential height of the mid-latitude stratosphere at the 50 hPa height. We find the predicted vortex and anti-vortex in the relative phase of the geopotential height and velocity at the high frequencies of the waves. By contrast, lower-frequency planetary waves are found to have trivial topology also as expected from theory. These results demonstrate a new way to understand stratospheric waves, and provide a new qualitative tool for the investigation of waves in other components of the climate system., Comment: 25 pages, 6 figures. Small corrections and clarifications to make the paper more broadly accessible
- Published
- 2023
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