Abstract
The cutoff wave number of the incompressible ablative Rayleigh-Taylor instability is calculated using the physical optics approximation of the Wentzel-Kramers-Brillouin theory. It is found that a single value of the wave number k can correspond to multiple modes with different eigenfunctions and growth rates \ensuremath{\gamma}. In the \ensuremath{\gamma}-k plane the unstable spectrum is characterized by multiple branches with different cutoff wave numbers, and eigenfunctions with different number of zeros. The theory provides a formula for the cutoff wave number, valid in the regimes of interest for inertial confinement fusion capsules.
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