Rossby wave propagation on potential vorticity fronts with finite width

Enhancement of Rossby Wave Breaking by Steep Potential Vorticity Gradients in the Winter Stratosphere

This work investigates the extent to which potential vorticity gradients affect the vertical propagation of planetary-scale Rossby waves on the edge of a stratospheric polar vortex and their eventual nonlinear saturation and breaking. Using two different numerical modeling approaches, it is shown that wave propagation and wave breaking are significantly reduced when the potential vorticity grad...

Nonlinear Balance and Potential Vorticity Thinking at Large Rossby Number

Rossby Number Dependence on Meander Dynamics of a Potential Vorticity Front

Semi-geostrophic dynamics of jets are studied using a potential vorticity front in an equivalent barotropic model. Meandering processes of the front are examined in the thin-jet limit on a β-plane by a curvilinear coordinate system. For calculated along-front velocity fields, asymmetrical profiles are caused by meandering. This asymmetry of the velocity profile is enhanced as the Rossby number ...

Characterizing width uniformity by wave propagation.

This work describes a different image analysis approach to characterize the uniformity of objects in agglomerates by using the propagation of normal wave fronts. The problem of width uniformity is discussed and its importance for the characterization of composite structures normally found in physics and biology highlighted. The methodology involves identifying each cluster (i.e., connected comp...

Propagation-invariant wave fields with finite energy.

Propagation invariance is extended in the paraxial regime, leading to a generalized self-imaging effect. These wave fields are characterized by a finite number of transverse self-images that appear, in general, at different orientations and scales. They possess finite energy and thus can be accurately generated. Necessary and sufficient conditions are derived, and they are appropriately represe...