“…Under the action of the ponderomotive force, electrons and ions move together at the ion sound speed c s ; thus, the characteristic time for the manifestation of the ponderomotive nonlinearity is r 0 /c s , where r 0 is the beam width. Additional phenomena contributing to the (de)focusing of an electromagnetic beam in a plasma are multiphoton (tunnel) ionization (Annou et al, 1996), avalanche ionization (Stuart et al, 1996;Derenzo et al, 1974), harmonic generation (Sodha & Kaw, 1969), modification (Gurevich, 1978) of electron density, and nonlinear absorption (Sharma et al, 2004). All these forms of nonlinearity are present and operate in various relative strengths in different regimes in terms of the irradiance, electron density, electron collision frequency, and duration of the pulse of the beam.…”