X-wave

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. Finite-energy realizations have been observed in various frameworks.

In optics, X-waves solution have been reported within a quantum mechanical formulation.