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Not to be confused with X-ray or X-band.

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.[1]

See also[edit]


  1. ^ 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

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