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x wave


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


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