Cherenkov radiation versus X-shaped localized waves

Cherenkov radiation versus X-shaped localized waves.

Localized waves (LW) are nondiffracting ("soliton-like") solutions to the wave equations and are known to exist with subluminal, luminal, and superluminal peak velocities V. For mathematical and experimental reasons, those that have attracted more attention are the "X-shaped" superluminal waves. Such waves are associated with a cone, so that one may be tempted-let us confine ourselves to electr...

Evidence of X-Shaped Propagation-Invariant Localized Light Waves

Ten years ago Durnin, Miceli, and Eberly [1] reported on the startling first experimental investigation of the socalled nondiffracting Bessel beam, which was formed from a cw laser light by an annular slit and a collimating lens. The beam was found to maintain its sharply peaked radial profile over large distances outclassing the Rayleigh range. During the decade monochromatic Bessel beams have...

Stimulated Cherenkov Radiation of Plasma Waves and Plasma Turbulence

Cherenkov radiation by neutrinos

We discuss the Cherenkov process ν → νγ in the presence of a homogeneous magnetic field. The neutrinos are taken to be massless with only standard-model couplings. The magnetic field fulfills the dual purpose of inducing an effective neutrino-photon vertex and of modifying the photon dispersion relation such that the Cherenkov condition ω < |k| is fulfilled. For a field strength Bcrit = m 2 e/e...

The Gravitational Cherenkov Radiation

An example of discontinuity of the energy-momentum tensor moving at superluminal velocity is discussed. It is shown that the gravita-tional Mach cone is formed. The power spectrum of the corresponding Cherenkov radiation is evaluated.