Preprints
https://doi.org/10.5194/egusphere-2026-3648
https://doi.org/10.5194/egusphere-2026-3648
30 Jun 2026
 | 30 Jun 2026
Status: this preprint is open for discussion and under review for Weather and Climate Dynamics (WCD).

How to diagnose barotropic Rossby wave resonance along a circumglobal jetstream?

Volkmar Wirth, Tobias Hempel, and Nili Harnik

Abstract. Resonant amplification of Rossby waves along a circumglobal jetstream was recently hypothesized as the underlying mechanism for the occurrence of extreme weather in observed episodes with large wave amplitudes. An important part of the argument is based on refractive index theory in the framework of the linear barotropic model. The approach makes a number of assumptions and approximations with the goal to diagnose the existence of a zonal waveguide and, hence, the potential for Rossby wave resonance. The current paper compares this approach with a recently developed direct numerical method that makes no further assumptions given the chosen framework and is, hence, considered as more trustworthy. The comparison indicates that the occurrence of waveguides as diagnosed from the refractive index method is both qualitatively and quantitatively inconsistent with the occurrence of resonance in the direct numerical method. It is concluded that the previously-used waveguide diagnostic is not a reliable basis for detecting Rossby wave resonance. The code for the direct numerical method is publicly available to encourage its use in future applications.

Competing interests: At least one of the (co-)authors is a member of the editorial board of Weather and Climate Dynamics.

Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper. While Copernicus Publications makes every effort to include appropriate place names, the final responsibility lies with the authors. Views expressed in the text are those of the authors and do not necessarily reflect the views of the publisher.
Share
Volkmar Wirth, Tobias Hempel, and Nili Harnik

Status: open (until 11 Aug 2026)

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
Volkmar Wirth, Tobias Hempel, and Nili Harnik
Volkmar Wirth, Tobias Hempel, and Nili Harnik
Metrics will be available soon.
Latest update: 30 Jun 2026
Download
Short summary
Resonant amplification of planetary-scale waves, if it occurs, may lead to extreme weather in specific episodes. At the same time, it is difficult to be diagnosed from observed data. The present paper argues that an often-used method for the detection of resonance has serious issues, suggesting that previous claims of resonance causing extreme weather must be considered with care. The paper also provides a direct numerical method as a more trustworthy alternative diagnostic.
Share