In this article, we consider a one-dimensional model of electromagnetic pulse propagation in isotropic media, takinginto account a nonlinearity of the third order. We introduce a method for Maxwell's equation transformation on thebasis of a complete set of projecting operators. The operators correspond to wave dispersion branches including thedirection of propagation. As the simplest result of applying the method, we derive a system of equations describingone-dimensional dynamics of pulses of opposite directions of propagation without dispersion account. Thecorresponding self-action equations are extracted. Next we introduce a dispersion and show how the operators change.Through applications in such a manner, the generalized short pulse equations (SPE) of Shafer and Wayne are obtainedfor both propagation directions. The effects of the unidirectional pulse interaction are discussed.
Authors
Additional information
- DOI
- Digital Object Identifier link open in new tab 10.1143/jpsj.80.024002
- Category
- Publikacja w czasopiśmie
- Type
- artykuł w czasopiśmie wyróżnionym w JCR
- Language
- angielski
- Publication year
- 2011
