 Spatial root of a dispersion relation (source code)

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= Spatial root of a dispersion relation
{title2=$D(k,\omega)=0$}

= Root of the dispersion relation
{synonym}

= Roots of the dispersion relation
{synonym}

For fixed complex frequency $\omega$, a spatial root is a complex <wavenumber> $k$ satisfying the <dispersion relation>. Analytic continuation of these branches from a causal temporal contour is essential in the <Briggs-Bers criterion>; their collision alone does not decide whether a <spatial pinch point> occurs.

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