Question
Make plots analogous to Figs. 9, 10, and 11 for wave propagation in a fully ionized warm plasma, but in terms of $\omega$ as a function of the real part of $k$.
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The function $V(x, t)=\cos (2 \pi x / \lambda-\omega t)$ is also a solution to the classical wave equation. Sketch on the same graph the function $V(x, t)$ as a function of $x$ for $0 \leq x \leq 3 \lambda$ when: $($ i) $\omega t=0,($ ii) $\omega t=0.25 \pi,($ iii $) \omega t=0.5 \pi,(i v) \omega t=0.75 \pi$, and $(v) \omega t=\pi$.
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