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Configuration of Waves in Two-Plasmon Decay Instability Under Weak Landau Damping of Plasma Waves

A sufficiently intense electromagnetic wave, incident into a plasma, can decay into two electron plasma waves near quarter critical density layer of the plasma. This two-plasmon decay instability has been a hot topic mainly due to relevance to laser fusion in that the instability produces hot electrons causing a preheat problem. It has been known that configuration of wave vectors of the three waves involved in the instability is described by a hyperbola. However, recently there appeared a theoretical result that above a certain temperature (depending on density of the plasma) the configuration of waves should be described by a lemniscate rather than by a hyperbola. 1, 2 Thus the combined hyperbolalemniscate curve should be used in describing the configuration.