Current responses of first and second order in a collisionless plasma. I. Stationary plasma

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Abstract
The current responses of first and second order, due to an electromagnetic perturbation of a stationary but otherwise arbitrary solution of the relativistic Vlasov–Maxwell equations, are studied. In particular the symmetries leading to the (approximative, due to wave‐particle interaction) conservation of wave energy for an inhomogeneous plasma are considered. Thereby we clarify the mathematical structure of certain previously derived formulas for the response operators and also make these more readily accessible for applications.