Kink shape solutions of the Maxwell-Lorentz system
Author(s) -
Mads Peter Sørensen,
G. M. Webb,
M. Brio,
Jerome V. Moloney
Publication year - 2005
Publication title -
physical review e
Language(s) - English
Resource type - Journals
eISSN - 1550-2376
pISSN - 1539-3755
DOI - 10.1103/physreve.71.036602
Subject(s) - physics , maxwell's equations , lorentz transformation , limit (mathematics) , amplitude , nonlinear system , lorentz force , classical mechanics , electromagnetic radiation , femtosecond , stability (learning theory) , electromagnetic field , quantum electrodynamics , quantum mechanics , mathematical analysis , laser , magnetic field , mathematics , machine learning , computer science
In the limit of high amplitude oscillating electromagnetic fields, a sequence of kink antikink shaped optical waves has been found in the Maxwell's equations coupled to a single Lorentz oscillator and with Kerr nonlinearity. The individual kinks and antikinks result from a traveling wave assumption and their stability has been assessed by numerical simulations. For typical physical parameter values the kink width is of the order of tens of femtoseconds.
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