Propagation of electromagnetic waves in nonlinear dispersive media

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Propagation of electromagnetic waves in nonlinear dispersive media (EN)

Uzunoglu, NK (EN)
Frantzeskakis, DJ (EN)
Capsalis, CN (EN)

journalArticle (EN)

2014-03-01T01:07:38Z
1989 (EN)


The propagation in a non-linear dispersive medium is analysed by using differential equation techniques. A dispersive semi-infinite space with a cubic order instantaneous non linearity, is considered. The proposed analysis is based on to transform time dependent Maxwell equations into a slowly varying envelope function differential equation. The derived partial differential equation has many similarities with the so-called Schrodinger equation but it includes an additional term arising from the first order dispersion. This non-linear equation is solved by application of the Inverse Scattering Method for the initial condition |q(x,t=0)| = Asechx. The N-soliton solution is developed analytically in the case of reflectionless potentials. The single and double soliton solution are derived explicitly. Numerical results presenting the pulse propagation inside the non-linear dispersive medium are also given. (EN)

Engineering, Electrical & Electronic (EN)

Electromagnetic Waves (EN)
Nonlinear Dispersive Media (EN)
Mathematical Techniques--Differential Equations (EN)
N-Soliton Solution (EN)
Light (EN)
Optics--Nonlinear (EN)
Waveguides, Optical (EN)
Optical Communication (EN)
Optical Fibers (EN)
Nonlinear Schrodinger Equation (EN)
Inverse Scattering Method (EN)

Electromagnetics (EN)

English

HEMISPHERE PUBL CORP (EN)




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