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# X-wave

In physics, X-waves are localized solutions of the wave equation that travel at a constant velocity in 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. Finite-energy realizations have been observed in various frameworks.

In optics, X-waves solution have been reported within a quantum mechanical formulation.[1]

See also

Nonlinear X-wave

Droplet-shaped wave

References

A. Ciattoni and C. Conti, Quantum electromagnetic X-waves arxiv.org 0704.0442v1.

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 0708.1655v2.

Various authors in the book Localized Waves edited by Erasmo Recami, Michel Zamboni-Rached and Hugo E. Hernandez-Figueroa

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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