“…Optical guiding can occur when the plasma density is minimum on axis. Analysis of the wave equation for a fixed parabolic plasma density channel indicates that optical guiding of a Gaussian laser pulse occurs when the channel density depth is given by 8 1 A 2r (9) where An = n(ro) -n(O) and re = e 2 /moc 2 is the classical electron radius (see Fig. 4).…”
“…Optical guiding can occur when the plasma density is minimum on axis. Analysis of the wave equation for a fixed parabolic plasma density channel indicates that optical guiding of a Gaussian laser pulse occurs when the channel density depth is given by 8 1 A 2r (9) where An = n(ro) -n(O) and re = e 2 /moc 2 is the classical electron radius (see Fig. 4).…”
“…Pair production decreases the wave amplitude while the growth of plasma density all over the space causes the increase of the wave frequency which is proportional to square root of the density. This effect resembles the case when the electromagnetic wave propagates in an ionizing medium [26].…”
Section: Conclusion and Discussionmentioning
confidence: 98%
“…This frequency up-shift is seen in Fig.1, and bears a strong resemblance to the blue-shift of an electromagnetic wave that propagates in a medium that becomes ionized, as investigated theoretically in Ref. [26] and experimentally in Ref. [27].…”
Section: Kinetic Description Of the Electron-positron Plasmamentioning