ON SELF-CONSISTENT STATIONARY PROPAGATION OF RELATIVISTICALLY COUPLEDELECTROMAGNETIC AND ELECTROSTATIC-WAVES .2. EFFECTS OF ELECTRON-POSITRON PAIR CREATION

Effects of electron-positron pair creation on the stationary one-dimen sional propagation of relativistically coupled electromagnetic and ele ctrostatic waves are studied based on the self-consistent model presen ted in the previous paper for an electron-ion plasma [L. N. Tsintsadze and K. Nishikawa, Phys. Plasmas 3, 511 (1996)]. The pair-created part icles are treated as a cold electron-positron plasma at their creation point. In addition to the results similar to those obtained for the e lectron-ion plasma, a new type of instability of the finite amplitude plane wave is found which is purely growing in the wave frame near thr eshold. A novel solution describing an envelope shock which represents a wake-field excitation by a solitary electromagnetic pulse is obtain ed by taking into account the trapping of the pair-created particles i n the upstream region. (C) 1997 American Institute of Physics.