caa a22 4500 386367795 CHVBK 20180307111942.0 cr unu---uuuuu 161130e198912 xx s 000 0 eng 10.1017/S0022377800014495 doi S0022377800014495 pii (NATIONALLICENCE)cambridge-10.1017/S0022377800014495 Transient nonlinear wave mixing in collisional plasmas [Elektronische Daten] The time dynamics of two-wave and four-wave mixing in a collisional plasma are explored. Maxwell's equations are coupled to the governing equations of a warm collisional plasma; this is followed by linearization based on a strong undepleted pump wave and simplification by the slowly varying envelope approximation. The resulting equations are solved via Laplace-transform techniques. We predict that in the presence of collisions between the plasma charged particles and background neutrals the two-wave-mixing geometry produces spatial amplification of an applied probe wave under transient (or nearly degenerate) conditions on the frequencies. The four-wave-mixing configuration produces a response that is governed by a ratio of characteristic time constants and the average number of collisions in a characteristic spatial scale. In both configurations enhancement of the plasma response occurs when transient or nearly degenerate conditions generate a moving intensity grating that propagates at a velocity of a natural mode of the plasma. The two-wave-mixing geometry has a single such resonance condition, and the four-wave-mixing geometry has two. Copyright © Cambridge University Press 1989 Papen George C. University of Wisconsin-Madison, Madison, Wisconsin 53706, U.S.A. Tataronis John A. University of Wisconsin-Madison, Madison, Wisconsin 53706, U.S.A. Journal of Plasma Physics Cambridge University Press 42/3(1989-12), 457-478 0022-3778 42:3<457 1989 42 PLA https://doi.org/10.1017/S0022377800014495 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0022377800014495 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Papen George C. University of Wisconsin-Madison, Madison, Wisconsin 53706, U.S.A NATIONALLICENCE 700 1- Tataronis John A. University of Wisconsin-Madison, Madison, Wisconsin 53706, U.S.A NATIONALLICENCE 773 0- Journal of Plasma Physics Cambridge University Press 42/3(1989-12), 457-478 0022-3778 42:3<457 1989 42 PLA CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge