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arXiv · 1712.07717

On a `time' reparametrization in relativistic electrodynamics with travelling waves

Gaetano Fiore
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Abstract

We briefly report on our method [Fiore JPA 2017] of simplifying the equations of motion of charged particles in an electromagnetic field that is the sum of a plane travelling wave and a static part; it is based on changes of the dependent variables and the independent one (light-like coordinate instead of time t). We sketch its application to a few cases of extreme laser-induced accelerations, both in vacuum and in plane problems at the vacuum-plasma interface, where we are able to reduce the system of the (Lorentz-Maxwell and continuity) partial differential equations into a family of decoupled systems of Hamilton equations in 1 dimension. Since Fourier analysis plays no role, the method can be applied to all kind of travelling waves, ranging from almost monochromatic to socalled "impulse".

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Gaetano Fiore. 2018-01-15. On a `time' reparametrization in relativistic electrodynamics with travelling waves. https://doi.org/10.1051/epjconf%2F201816704004

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