双流等离子体中纵向电子波的无碰撞放大
Collisionsless amplifying of longitudinal electron waves in two-stream plasma
摘要：
为了更好地理解无碰撞阻尼/增长等离子体波的主要特征，我们用速度为v（1）和v（2）的两股流的δ函数型电子速度分布函数，对两股流等离子体中电子波的最简单情况进行了示范计算。传统的色散方程被简化为一个代数四阶方程，并给出了等流密度下的数值解。在均匀半无限板的情况下，人们发现两个主要类型的解决方案：无阻尼向前波和向前复共轭指数阻尼和增长波。除此之外，在这种情况下，没有必要计算任何数学发散的不定积分。波放大的可能性在实际应用中可能是有用的。
英文摘要：
To better understanding the principal features of collisionless damping/growing plasma waves we have implemented a demonstrative calculation for the simplest cases of electron waves in two-stream plasmas with the delta-function type electron velocity distribution function of each of the streams with velocities v(1) and v(2). The traditional dispersion equation is reduced to an algebraic 4th order equation, for which numerical solutions are presented for a variant of equal stream densities. In the case of uniform half-infinite slab one finds two dominant type solutions: non-damping forward waves and forward complex conjugated exponentially both damping and growing waves. Beside it in this case there is no necessity of calculation any logarithmically divergent indefinite integrals. The possibility of wave amplifying might be useful in practical applications.
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