X-wave
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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.
[edit] 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)
[edit] See also
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