caa a22 4500 386367736 CHVBK 20180307111942.0 cr unu---uuuuu 161130e198912 xx s 000 0 eng 10.1017/S0022377800014513 doi S0022377800014513 pii (NATIONALLICENCE)cambridge-10.1017/S0022377800014513 Larsson Jonas Department of Plasma Physics, Umeå University, S-90187 Umeå, Sweden Linear and nonlinear geometric optics. Part 2. The Vlasov-Maxwell equations [Elektronische Daten] [Jonas Larsson] Local tensors determining the geometric-optics description of a Vlasov-Maxwell plasma are considered. The linear and quadratic current responses on a small-amplitude electromagnetic perturbation are given by expressions for the local admittance tensors. These explicitly exhibit symmetries that imply the linear conservation of wave action, if wave-particle interactions are neglected, and the corresponding quadratic conservation laws. Considering, for example, the resonant interaction between three geometric-optics modes the Manley—Rowe relations accordingly follow. Various extensions of the results, including consideration of higher orders in the small amplitude, strong space and time dependence of the background plasma, relativistic theory and the gyrokinetic approximation as well as some corresponding results for important fluid models, may be obtained straightforwardly either directly or by combining the results of this paper with those of previous work. Copyright © Cambridge University Press 1989 Journal of Plasma Physics Cambridge University Press 42/3(1989-12), 495-506 0022-3778 42:3<495 1989 42 PLA https://doi.org/10.1017/S0022377800014513 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0022377800014513 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Larsson Jonas Department of Plasma Physics, Umeå University, S-90187 Umeå, Sweden NATIONALLICENCE 773 0- Journal of Plasma Physics Cambridge University Press 42/3(1989-12), 495-506 0022-3778 42:3<495 1989 42 PLA CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge