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Abstract
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.
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Details
- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
-
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
no. 80,
ISSN: 0031-9015 - Language:
- English
- Publication year:
- 2011
- Bibliographic description:
- Kuszner M., Leble S.: Directed electromagnetic pulse dynamics: projecting operators method// JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN. -Vol. 80, nr. iss.2 (2011),
- DOI:
- Digital Object Identifier (open in new tab) 10.1143/jpsj.80.024002
- Verified by:
- Gdańsk University of Technology
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