Space-time caustics.
On the asymptotic series solution of some higher order linear differential equations at turning points.
Dispersive waves and caustics.
Addendum to a paper of Craig and Goodman.
On the time-dependent parabolic wave equation.
Caustic consideration of long planetary wave packet analysis in the continuously stratified ocean.
Time-evolution of a caustic.
On caustics associated with Rossby waves
Rossby wave equations characterize a class of wave phenomena occurring in geophysical fluid dynamics. One technique useful in the analysis of these waves is the geometrical optics, or multi-dimensional WKB technique. Near caustics, e.g., in critical regions, this technique does not apply. A related technique that does apply near caustics is the Lagrange Manifold Formalism. Here we apply the Lagrange Manifold Formalism to study Rossby waves near caustics.
On caustics associated with the linearized vorticity equation
The linearized vorticity equation serves to model a number of wave phenomena in geophysical fluid dynamics. One technique that has been applied to this equation is the geometrical optics, or multi-dimensional WKB technique. Near caustics, this technique does not apply. A related technique that does apply near caustics is the Lagrange Manifold Formalism. Here we apply the Lagrange Manifold Formalism to determine an asymptotic solution of the linearized vorticity equation and to study associated wave...
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