Waves in Cold Plasmas: Two-Fluid Formalism

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19 Waves in Cold Plasmas: Two-Fluid Formalism 1 19.1 Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 19.2 Dielectric Tensor, Wave Equation, and General Dispersion Relation . . . . . 3 19.3 Wave Modes in an Unmagnetized Plasma . . . . . . . . . . . . . . . . . . . . 5 19.3.1 Two-Fluid Formalism . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 19.3.2 Dielectric Tensor and Dispersion Relation for a Cold Plasma . . . . . 6 19.3.3 Electromagnetic Plasma Waves . . . . . . . . . . . . . . . . . . . . . 8 19.3.4 Langmuir Waves and Ion Acoustic Waves in Warm Plasmas . . . . . 9 19.3.5 Cutoffs and Resonances . . . . . . . . . . . . . . . . . . . . . . . . . 13 19.4 Wave Modes in a Cold, Magnetized Plasma . . . . . . . . . . . . . . . . . . 16 19.4.1 Dielectric Tensor and Dispersion Relation . . . . . . . . . . . . . . . 16 19.4.2 Parallel Propagation . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 19.4.3 Perpendicular Propagation . . . . . . . . . . . . . . . . . . . . . . . . 20 19.5 Propagation of Radio Waves in the Ionosphere . . . . . . . . . . . . . . . . . 22 19.6 CMA Diagram for Wave Modes in Cold, Magnetized Plasma . . . . . . . . . 25 19.7 Two Stream Instability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28

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Waves in Cold Plasmas: Two-Fluid Formalism

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تاریخ انتشار 2009