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| {{distinguish|X-ray}} | {{distinguish|X-ray}} | ||
| In ], '''X-waves''' are ]s of the ] that travel at a constant ] in a given direction. X-waves can be ], ], or ]s. They are built as a non-] ] of ]s. X-waves carry ] ]. Electromagnetic X-waves travel ]. Finite-energy realizations have been observed in various frameworks. | |||
| {{Refimprove|date=July 2007}} | |||
| In ], '''X-waves''' are ] solutions of the ] that travel at a ] along a given direction. | |||
| ⚫ | In optics, X-waves solution have been reported within a quantum mechanical formulation.<ref>A. Ciattoni and C. Conti, ''arxiv.org'' 0704.0442v1.</ref> | ||
| 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. | |||
| ⚫ | In optics, X-waves |
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| == See also == | == See also == | ||
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| == References== | == References== | ||
| <references/> | |||
| * |
* J. Lu and J. F. Greenleaf, "Nondiffracting X waves: exact solutions to free-space ] equation and their infinite realizations", ] Trans. Ultrasonic Ferroelectric Frequency. '']'' 39, 19–31 (1992). | ||
| * |
* Erasmo Recami and Michel Zamboni-Rached and Hugo E. Hernandez-Figueroa, "" ''arxiv.org'' 0708.1655v2. | ||
| * Various authors in the book edited by |
* Various authors in the book edited by Erasmo Recami, Michel Zamboni-Rached and Hugo E. Hernandez-Figueroa | ||
| ==External links == | ==External links == | ||
Revision as of 04:09, 4 March 2011
Not to be confused with X-ray.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. Electromagnetic X-waves travel faster than the speed of light. Finite-energy realizations have been observed in various frameworks.
In optics, X-waves solution have been reported within a quantum mechanical formulation.
See also
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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