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| In ], '''X-waves''' are ] solutions of the ] that travel at a ] along a given direction. | In ], '''X-waves''' are ] solutions of the ] that travel at a ] along a given direction. | ||
| X-waves can be ], ], or ]s. They are built as a non-] ] of ]s. | X-waves can be ], ], or ]s. They are built as a non-] ] of ]s. | ||
| X-waves carry ] ] and travel ]ly (for electromagnetic waves). Finite energy realizations have been observed in various frameworks. | X-waves carry ] ] and travel ]ly (for electromagnetic waves). Finite energy realizations have been observed in various frameworks. | ||
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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.
See also
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
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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