Lagrangian studies of plasma wave interactions. I
Lagrangian studies of plasma wave interactions. I
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等离子体波相互作用的拉格朗日研究。
DOI：
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发表时间：
1972
期刊：
影响因子：
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通讯作者：
J. G. Turner
中科院分区：
文献类型：
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作者：
T. Boyd;J. G. Turner
用Low发展的拉格朗日公式研究了等离子体中波与波的相互作用。推导了耦合模方程。与从Vlasov-Maxwell方程出发的传统方法相比，该方法具有明显的优势。讨论了拉格朗日方法的两个例子：(I)热场无场等离子体中横波的非线性相互作用产生等离子体振荡；(Ii)冷磁化等离子体中三个电磁波的相互作用。第二部分讨论了它对热磁化等离子体中的波和爆炸不稳定性的应用。
A study of wave-wave interactions in plasmas is made using a lagrangian formulation developed by Low. Coupled mode equations are derived. The method offers distinct advantages over the conventional approach starting from the Vlasov- Maxwell equations. Two examples of the lagrangian method are considered: (i) the nonlinear interaction of transverse waves in a warm field-free plasma to produce plasma oscillations and (ii) the interaction of three- electromagnetic waves in a cold magnetized plasma. Its application to waves in warm magnetized plasmas and to explosive instabilities is considered in part II.