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In physics, X-waves are localized solutions of the wave equation that travel at a constant velocity along a given direction.

X-waves can be sound, electromagnetic, or gravitational waves. They are built as a non-monochromatic superposition of Bessel beams.

X-waves carry infinite energy and travel superluminally (for electromagnetic waves). Finite energy realizations have been observed in various frameworks.

In optics, X-waves solutions have been also reported within a quantum mechanical formulation by A.Ciattoni and C.Conti in arxiv.org/abs/0704.0442v1.

References

• J. Lu and J. F. Greenleaf, Nondiffracting X waves: exact solutions to free-space scalar wave equation and their infinite realizations, IEEE Trans. Ultrasonic Ferroelectric Frequency. Control 39, 19-31 (1992)
• Erasmo Recami and Michel Zamboni-Rached and Hugo E. Hernandez-Figueroa, Localized Waves: A scientific and historical introduction arxiv.org/abs/0708.1655
• Various authors in the book Localized Waves edited by Erasmo Recami and Michel Zamboni-Rached and Hugo E. Hernandez-Figueroa

See also

• Nonlinear X-waves

External links

• The Virtual Institute for Nonlinear Optics (VINO), a research collaboration devoted to the investigation of X-waves and conical waves in general
• Nolinear X-waves page at the nlo.phys.uniroma1.it website.

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