Dynamics of χ^{(2)} Solitary Waves: a Multiple Scales Approach

• Authors: A. Boardman , P. Bontemps , K. Xie , A. Zharov
• Languages of publication: EN

Abstracts

EN

The dynamics of solitary waves in second-order nonlinear materials are discussed using a multiple scales model. After making some comments on the applicability of other perturbation techniques the multiple scales approach is developed with a view to setting up a line of approach that, in principle, permits radiative effects to be modelled. After a closure condition is applied, equations for the evolution of dynamical variables are developed. Applications of these equations to loss and interactions are presented together with confirmation from numerical simulations. It is emphasised that the method is capable of extension to higher-order perturbations and, hence, into the solitary wave fusion region. The established interpretation of quasi-phase-matching fluctuations as loss is discussed and the simple problems of soliton (solitary wave) pair interactions in both loss-free and lossy media are analysed.

Keywords

EN

42.65.-k; 42.65.Tg

Discipline

• 42.65.-k: Nonlinear optics
• 42.65.Tg: Optical solitons; nonlinear guided waves(for solitons in fibers, see 42.81.Dp)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 1999
• Volume: 95
• Issue: 5
• Pages: 705-718

Dates

published

1999-05

Contributors

author

A. Boardman

• Photonics and Nonlinear Science Group, Department of Physics, University of Salford, Salford M5 4WT, U.K.

author

P. Bontemps

• Photonics and Nonlinear Science Group, Department of Physics, University of Salford, Salford M5 4WT, U.K.

author

K. Xie

• Photonics and Nonlinear Science Group, Department of Physics, University of Salford, Salford M5 4WT, U.K.

author

A. Zharov

• Photonics and Nonlinear Science Group, Department of Physics, University of Salford, Salford M5 4WT, U.K.

Identifiers

DOI

10.12693/APhysPolA.95.705