Abstract
The fundamental dispersion relation of transverse electro-magnetic waves in a cold collisionless plasma is formally equivalent to the two-dimensional dispersion relation of inertio-gravity waves in a rotating shallow water system, where the Coriolis frequency can be identified with the plasma frequency, and the shallow water gravity wave phase speed plays the role of the speed of light. Here we examine this equivalence and compare between the propagation wave mechanisms in these seemingly unrelated physical systems.
Highlights
The nonlinear interaction of intense ultrashort laser pulses with a plasma, e.g. in laser wakefield acceleration of electrons, is described by electro-magnetic fields acting on a cold, unmagnetized plasma [1]
Within the linear framework, the rotating shallow water (RSW) system formally resembles the plasma one with no background magnetic field, where cs ↔ c, f ↔ ωp, with the limitation that the former is of scalar variables and the latter is of vector ones
Summary ce the cold plasma system and the rotating shallow water system seem physically disparate, this work highlights a non-trivial analogy between the two systems in the linearized regime
Summary
The nonlinear interaction of intense ultrashort laser pulses with a plasma, e.g. in laser wakefield acceleration of electrons, is described by electro-magnetic fields acting on a cold, unmagnetized plasma [1]. AUTHOR SUBMITTED MANUSCRIPT - JPCO-102167.R1 cri pt cri pt Analogy between electro-magnetic and inertio-gravity waves pte an us Coriolis and the vertical buoyancy restoring forces, and they are responsible for the continuous adjustment mechanism of the large scale flow into a geostrophic balance between the Coriolis force and the horizontal component of the pressure gradient force. Due to their relatively large aspect ratio they can be modeled, to a first approximation, by the linearized dynamics of the rotating shallow water system (a complete description of shallow water inertio-gravity waves in geophysical systems can be found in [4]).
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