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lanebeale edited Theory.tex
about 10 years ago
Commit id: 2f311258b818cb37907a901dd49ba4112764b0e7
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\end{tiny}
One of the remarkable aspects of ducted whistler waves is that the phase velocity travels at a separate angle to the group velocity and direction of propogation of the wave. The group velocity is given by $\vec{V}_{gr}=\frac{\mathrm\partial\omega}{\mathrm \partial\vec{k}}$ and the phase velocity is given by $V_{ph}=\frac{\omega}{k}$.
The group velocity can be rewritten as
$V_{group}=\frac{c}{\frac{d}{df}\left\eta f \right}$ $V_{group}=\frac{c}{\frac{d}{df}(\etaf)}$