Phys. Rev. Lett. 70, 2082–2085 (1993)Necessary and sufficient conditions for self-focusing of short ultraintense laser pulse in underdense plasmaReceived 15 January 1993; published in the issue dated 5 April 1993 We analyze the propagation of a short intense laser pulse in underdense cold plasma. When no electron cavitation is present, a global invariant H is obtained, and its relation with self-focusing is studied. For relativistic self-focusing, H<0 is a sufficient and necessary condition. For relativistic and ponderomotive self-focusing, H<0 is sufficient but not necessary. Numerical simulations are performed to confirm the above points. © 1993 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.70.2082
DOI:
10.1103/PhysRevLett.70.2082
PACS:
52.40.Nk, 52.35.Mw, 52.40.Db
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