On a ‘time’ reparametrization in relativistic electrodynamics with travelling waves
Dip. di Matematica e Applicazioni, Università di Napoli “Federico II”, Complesso Universitario MSA, Via Cintia, Napoli, Italy
2 INFN, Sezione di Napoli, Complesso Universitario M. S. Angelo, Via Cintia, Napoli, Italy
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Published online: 9 January 2018
We briefly report on our method  of simplifying the equations of motion of charged particles in an electromagnetic (EM) 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 ξ 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 “impulses”.
© The Authors, published by EDP Sciences, 2018
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