X-wave

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 [http://arxiv.org/abs/0704.0442v1 arxiv.org/abs/0704.0442v1] .

References

* 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 [http://arxiv.org/abs/0708.1655 arxiv.org/abs/0708.1655]
* Various authors in the book [http://www.amazon.com/Localized-Waves-Microwave-Optical-Engineering/dp/0470108851 Localized Waves] edited by Erasmo Recami and Michel Zamboni-Rached and Hugo E. Hernandez-Figueroa

See also

* Nonlinear X-waves

External links

* [http://www.vino-stella.eu/ The Virtual Institute for Nonlinear Optics (VINO)] , a research collaboration devoted to the investigation of X-waves and conical waves in general
* [http://nlo.phys.uniroma1.it/nonlinear_and_quantum_x.htm Nolinear X-waves] page at the [http://nlo.phys.uniroma1.it/ nlo.phys.uniroma1.it] website.


Wikimedia Foundation. 2010.

Игры ⚽ Поможем решить контрольную работу

Look at other dictionaries:

  • Wave — Wave, n. [From {Wave}, v.; not the same word as OE. wawe, waghe, a wave, which is akin to E. wag to move. [root]138. See {Wave}, v. i.] [1913 Webster] 1. An advancing ridge or swell on the surface of a liquid, as of the sea, resulting from the… …   The Collaborative International Dictionary of English

  • Wave front — Wave Wave, n. [From {Wave}, v.; not the same word as OE. wawe, waghe, a wave, which is akin to E. wag to move. [root]138. See {Wave}, v. i.] [1913 Webster] 1. An advancing ridge or swell on the surface of a liquid, as of the sea, resulting from… …   The Collaborative International Dictionary of English

  • Wave length — Wave Wave, n. [From {Wave}, v.; not the same word as OE. wawe, waghe, a wave, which is akin to E. wag to move. [root]138. See {Wave}, v. i.] [1913 Webster] 1. An advancing ridge or swell on the surface of a liquid, as of the sea, resulting from… …   The Collaborative International Dictionary of English

  • Wave line — Wave Wave, n. [From {Wave}, v.; not the same word as OE. wawe, waghe, a wave, which is akin to E. wag to move. [root]138. See {Wave}, v. i.] [1913 Webster] 1. An advancing ridge or swell on the surface of a liquid, as of the sea, resulting from… …   The Collaborative International Dictionary of English

  • Wave loaf — Wave Wave, n. [From {Wave}, v.; not the same word as OE. wawe, waghe, a wave, which is akin to E. wag to move. [root]138. See {Wave}, v. i.] [1913 Webster] 1. An advancing ridge or swell on the surface of a liquid, as of the sea, resulting from… …   The Collaborative International Dictionary of English

  • Wave moth — Wave Wave, n. [From {Wave}, v.; not the same word as OE. wawe, waghe, a wave, which is akin to E. wag to move. [root]138. See {Wave}, v. i.] [1913 Webster] 1. An advancing ridge or swell on the surface of a liquid, as of the sea, resulting from… …   The Collaborative International Dictionary of English

  • Wave of vibration — Wave Wave, n. [From {Wave}, v.; not the same word as OE. wawe, waghe, a wave, which is akin to E. wag to move. [root]138. See {Wave}, v. i.] [1913 Webster] 1. An advancing ridge or swell on the surface of a liquid, as of the sea, resulting from… …   The Collaborative International Dictionary of English

  • Wave offering — Wave Wave, n. [From {Wave}, v.; not the same word as OE. wawe, waghe, a wave, which is akin to E. wag to move. [root]138. See {Wave}, v. i.] [1913 Webster] 1. An advancing ridge or swell on the surface of a liquid, as of the sea, resulting from… …   The Collaborative International Dictionary of English

  • Wave surface — Wave Wave, n. [From {Wave}, v.; not the same word as OE. wawe, waghe, a wave, which is akin to E. wag to move. [root]138. See {Wave}, v. i.] [1913 Webster] 1. An advancing ridge or swell on the surface of a liquid, as of the sea, resulting from… …   The Collaborative International Dictionary of English

  • Wave theory — Wave Wave, n. [From {Wave}, v.; not the same word as OE. wawe, waghe, a wave, which is akin to E. wag to move. [root]138. See {Wave}, v. i.] [1913 Webster] 1. An advancing ridge or swell on the surface of a liquid, as of the sea, resulting from… …   The Collaborative International Dictionary of English

  • Wave-line system — Wave Wave, n. [From {Wave}, v.; not the same word as OE. wawe, waghe, a wave, which is akin to E. wag to move. [root]138. See {Wave}, v. i.] [1913 Webster] 1. An advancing ridge or swell on the surface of a liquid, as of the sea, resulting from… …   The Collaborative International Dictionary of English

Share the article and excerpts

Direct link
… Do a right-click on the link above
and select “Copy Link”