Modified Nonlinear Schrödinger Equation for Nonlinear Waves in Optical Fibres

• Authors: K. Murawski
• Languages of publication: EN

Abstracts

EN

A new model equation governing the propagation of nonlinear pulses in optical fibres has been derived on the assumption of a saturated nonlinearity of the refractive index. This equation is a combination of the exponential nonlinear Schrödinger equation and the derivative one. It is valid for the long fibres. A modulational stability has been calculated to find out a cut-off in an angular frequency of a carrier wave. Moreover, it has been shown that the equation possesses family of stationary solutions. An initial value problem has been discussed on the basis of the implicit pseudo-spectral scheme.

Keywords

EN

03.40.Kf; 42.65.-k; 52.35.Mw

Discipline

• 52.35.Mw: Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.)
• 42.65.-k: Nonlinear optics

• Journal: Acta Physica Polonica A
• Year: 1991
• Volume: 80
• Issue: 4
• Pages: 485-493

Dates

published

1991-10

received

1989-08-30

(unknown)

1991-04-16

Contributors

author

K. Murawski

• Department of Mathematical Sciences, University of St Andrews, St Andrews, KY16 9SS, Scotland

Identifiers

DOI

10.12693/APhysPolA.80.485