https://doi.org/10.1051/epjconf/201816704004
On a ‘time’ reparametrization in relativistic electrodynamics with travelling waves
1
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
* e-mail: gaetano.fiore@na.infn.it
Published online: 9 January 2018
We briefly report on our method [23] 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
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
