Propagation of extremely short pulses in nonresonant media: the total Maxwell–Duffing model

✍ Scribed by Andrei I. Maimistov; Jean-Guy Caputo

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 88 KB
• Volume: 189
• Category: Article
• ISSN: 0167-2789
• DOI: 10.1016/j.physd.2003.09.040

✦ Synopsis

Propagation of extremely short pulses of electromagnetic field (electromagnetic spikes) is considered in the framework of the total Maxwell-Duffing model where anharmonic oscillators with cubic nonlinearities (Duffing model) represent the material medium and wave propagation is governed by the 1D bidirectional Maxwell equations. This system of equations has a one parameter family of exact analytical solutions representing an electromagnetic spike propagating on a zero or a nonzero background. We find that the total Maxwell-Duffing equations can be written as a system in bilinear form and that the one-soliton solution of this system coincides with the steady state solution obtained previously.