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Deriving the wave equation
Given:
$$\nabla \times \mathbf H = \frac{4\pi}{c} \mathbf j \ \ \ \ \ \ \ \ \ (1)$$
$$\nabla \times \mathbf E = -\frac{1}{c} \frac{\partial \mathbf H}{\partial t} \ \ \ (2)$$
$$\...
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Deriving the wave equation out of $\nabla \times \vec H = \frac{4\pi}{c} \vec J$
I am trying to derive the wave equation presented by Alfven in his 1942 paper
Based on the electrodynamic equations:
$$\nabla \times H = \frac{4\pi}{c}J$$
$$\nabla \times E = -\frac{1}{c} ...
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Establish the dispersion relation ω = ω(k)
Stuck on this question, need help.
Answer: w = ck