Directed Electromagnetic Pulse Dynamics: Projecting Operators Method
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概要
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In this article, we consider a one-dimensional model of electromagnetic pulse propagation in isotropic media, taking into account a nonlinearity of the third order. We introduce a method for Maxwell's equation transformation on the basis of a complete set of projecting operators. The operators correspond to wave dispersion branches including the direction of propagation. As the simplest result of applying the method, we derive a system of equations describing one-dimensional dynamics of pulses of opposite directions of propagation without dispersion account. The corresponding 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 obtained for both propagation directions. The effects of the unidirectional pulse interaction are discussed.
- 2011-02-15
著者
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Leble Sergey
Gdansk University of Technology, Narutowicza 11/12, 80-223, Gdansk, Poland
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Kuszner Mateusz
Gdansk University of Technology, Narutowicza 11/12, 80-223, Gdansk, Poland