Two- and three-dimensional light bullets in a Kerr medium with dispersion management

Michał Matuszewski; Eryk Infeld; Boris A. Malomed; A. A. Skorupski; Marek Trippenbach

doi:10.1117/12.634071

5 October 2005 Two- and three-dimensional light bullets in a Kerr medium with dispersion management

Michał Matuszewski, Eryk Infeld, Boris A. Malomed, A. A. Skorupski, Marek Trippenbach

Proceedings Volume 5949, Nonlinear Optics Applications; 594905 (2005) https://doi.org/10.1117/12.634071
Event: Congress on Optics and Optoelectronics, 2005, Warsaw, Poland

Abstract

In this paper we treat two and three dimensional light bullets by somewhat different methods. In both cases stability is achieved for some parameters. In the first case we propose a scheme for stabilizing spatiotemporal solitons (STS) in media with cubic self-focusing nonlinearity and "dispersion management", i.e., a layered structure inducing periodically alternating normal and anomalous group-velocity dispersion . We develop a variational approximation for the STS, and verify results by direct simulations. A stability region for the 2D (two-dimensional) STS is identified. A new stable object, in the form of a periodically oscillating bound state of two subpulses, is also found. We go on to also demonstrate a possibility to stabilize fully three-dimensional spatiotemporal solitons ("light bullets") in the same self-focusing Kerr media by means of a combination of dispersion management in the longitudinal direction and periodic modulation of the refractive index in one of the transverse directions. Assuming the usual model based on the paraxial nonlinear Schrodinger equation for the local amplitude of the electromagnetic field, the analysis relies upon the variational approximation. A predicted stability area is identified in the model's parameter space.

Citation Download Citation

Michał Matuszewski, Eryk Infeld, Boris A. Malomed, A. A. Skorupski, and Marek Trippenbach "Two- and three-dimensional light bullets in a Kerr medium with dispersion management", Proc. SPIE 5949, Nonlinear Optics Applications, 594905 (5 October 2005); https://doi.org/10.1117/12.634071

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available