Localized and stationary light wave modes in dispersive media

Abstract

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.

12 pages, 10 figures

References in corpus (4)

• Spontaneously generated X-shaped light bullets
• Diffraction-free and dispersion-free pulsed beam propagation in dispersive media
• X-wave mediated instability of plane waves in Kerr media
• X-waves Generated at Second Harmonic

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• Realizing normal group-velocity dispersion in free space via angular dispersion
• Self-trapped pulsed beams with finite power in pure cubic Kerr media excited by time-diffracting, space-time beams
• Tunneling mediated by conical waves in a 1D lattice
• Optical beam shaping and diffraction free waves: a variational approach