Localized and stationary light wave modes in dispersive media

Details Localized and stationary light wave modes in dispersive media Localized and stationary light wave modes in dispersive media

2003-09-18

arxiv.org/abs/physics/0309084v1

Physics

Optics

12 pages, 10 figures

Scientific paper

10.1103/PhysRevE.69.066606

In recent experiments, localized and stationary pulses have been generated in second-order nonlinear processes with femtosecond pulses, whose asymptotic features relate with those of nondiffracting and nondispersing polychromatic Bessel beams in linear dispersive media. We investigate on the nature of these linear waves, and show that they can be identified with the X-shaped (O-shaped) modes of the hyperbolic (elliptic) wave equation in media with normal (anomalous) dispersion. Depending on the relative strengths of mode phase mismatch, group velocity mismatch with respect to a plane pulse, and of the defeated group velocity dispersion, these modes can adopt the form of pulsed Bessel beams, focus wave modes, and X-waves (O-waves), respectively.

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