Characterizing spherical harmonic coefficients on an ICF capsule

摘要

The eigenfunctions of Rayleigh-Taylor modes on a spherical capsule are the spherical harmonic Y_(l,m). These can be measured by measuring the surface perturbations along great circles and fitting them to the first few modes by a procedure described in this paper. For higher mode numbers, it is more convenient to average the Fourier power spectra along the great circles and then transform them to spherical harmonic modes by an algorithm derived here.