We present the description of powerful beam self-focusing in underdense pla
sma. The importance of electron cavitation, i.e. total electron evacuation
under the effect of ponderomotive forces, is emphasized. Cavitation results
in suppression of filamentation and the possibility to channel power well
above the nominal critical power of self-focusing for a distance of many Ra
yleigh lengths. (C) 2001 Elsevier Science B.V. All rights reserved.