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| X-waves are localized solutions of the wave equation that |
X-waves are localized solutions of the wave equation that travel at a constant | ||
| velocity along a given direction. | velocity along a given direction. | ||
| X-waves can be sound, electromagnetic or gravitational waves. They are build as a | X-waves can be sound, electromagnetic or gravitational waves. They are build as a | ||
| non-monochromatic superposition of Bessel |
non-monochromatic superposition of Bessel beams. | ||
| X-waves carry infinite energy and travel superluminally (for electromagnetic waves). | X-waves carry infinite energy and travel superluminally (for electromagnetic waves). | ||
Revision as of 15:35, 9 December 2006
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 build 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.
References and history
- X-waves solutions of the wave-equation have been introduced in 1992 by Lu and Greenleaf within the framework of ultrasonic progation:
J. Lu and J. F. Greenleaf, "Nondiffracting X waves- exact solutions to free-space scalar wave equation and their infinite realizations," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39, 19-31 (1992)