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Light-front approach to relativistic electrodynamics

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 نشر من قبل Gaetano Fiore
 تاريخ النشر 2020
  مجال البحث فيزياء
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 تأليف Gaetano Fiore




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We illustrate how our recent light-front approach simplifies relativistic electrodynamics with an electromagnetic (EM) field $F^{mu u}$ that is the sum of a (even very intense) plane travelling wave $F_t^{mu u}(ct!-!z)$ and a static part $F_s^{mu u}(x,y,z)$; it adopts the light-like coordinate $xi=ct!-!z$ instead of time $t$ as an independent variable. This can be applied to several cases of extreme acceleration, both in vacuum and in a cold diluted plasma hit by a very short and intense laser pulse (slingshot effect, plasma wave-breaking and laser wake-field acceleration, etc.)

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We briefly report on a recent proposal (Fiore in J Phys A Math Theor 51:085203, 2018) for simplifying the equations of motion of charged particles in an electromagnetic (EM) field $F^{mu u}$ that is the sum of a plane travelling wave $F_t^{mu u}(ct!- !z)$ and a static part $F_s^{mu u}(x,y,z)$; it adopts the light-like coordinate $xi=ct!-!z$ instead of time $t$ as an independent variable. We illustrate it in a few cases of extreme acceleration, first of an isolated particle, then of electrons in a plasma in plane hydrodynamic conditions: the Lorentz-Maxwell & continuity PDEs can be simplified or sometimes even completely reduced to a family of decoupled systems of ordinary ones; this occurs e.g. with the impact of the travelling wave on a vacuum-plasma interface (what may produce plasma waves or the slingshot effect).
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