Abstract

The stability of thin shells under arbitrary radial motions can be described by the evolution of two independent surface modes for the inside and outside shell boundaries. The evolution equations can be consistently decoupled for all mode numbers, and specific solutions for ballistic and accelerated shell motions are discussed. They show strong dependences on initial conditions and can explain significant amplification for low mode numbers by interference effects. The theory is applied to the excitation of cavity modes in accelerated high-aspect-ratio shells. By comparison with numerical solutions for the full shell equations, the validity of the analytic predictions is confirmed and the saturated oscillation amplitudes after acceleration can be estimated. The further amplification of these modes by convergence and deceleration effects is discussed and potential inertial confinement fusion applications are illustrated by a simple implosion model.

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