It is shown that because of the phase anomaly a femtosecond pulse propagates on the optical axis with a velocity greater than c in the vicinity of the focus not only for large but also small values of the Fresnel number. The group velocity is calculated and its physical meaning discussed. Analytical expressions are derived for the electric field. The causality of the system is proved. The mechanism of the superluminality is a reshaping process caused by the interference. Contrary to other superluminal phenomena, the superluminal propagation occurs in a classically not forbidden region.
|Number of pages||10|
|Journal||Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics|
|Publication status||Published - Jan 1 1999|
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics