Propagation of electromagnetic waves in nonlinear dispersive media (EN)

Uzunoglu, NK (EN)

Frantzeskakis, DJ (EN)

Capsalis, CN (EN)

N/A (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)

journalArticle

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)

Εθνικό Μετσόβιο Πολυτεχνείο (EL)

National Technical University of Athens (EN)

Electromagnetics (EN)

1989

http://dx.doi.org/10.1080/02726348908915239

http://hdl.handle.net/123456789/10083

HEMISPHERE PUBL CORP (EN)