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Harmonic analysis of irradiation asymmetry for cylindrical implosions driven by high-frequency rotating ion beams

A. Bret and A. R. Piriz

N. Tahir

  • ETSI Industriales, Universidad de Castilla–La Mancha, 13071 Ciudad Real, Spain and Instituto de Investigaciones Energéticas y Aplicaciones Industriales, Campus Universitario de Ciudad Real, 13071 Ciudad Real, Spain

  • GSI Darmstadt, Plankstrasse 1, 64291 Darmstadt, Germany

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Phys. Rev. E 85, 036402 – Published 15 March, 2012

DOI: https://doi.org/10.1103/PhysRevE.85.036402

Abstract

Cylindrical implosions driven by intense heavy ion beams should be instrumental in the near future for study of high-energy-density matter. By rotating the beam by means of a high-frequency wobbler, it should be possible to deposit energy in the outer layers of a cylinder, compressing the material deposited in its core. The beam's temporal profile should, however, generate an inevitable irradiation asymmetry likely to feed the Rayleigh-Taylor instability (RTI) during the implosion phase. In this paper, we compute the Fourier components of the target irradiation in order to make the connection with previous works on the RTI performed in this setting. Implementing one- and two-dimensional beam models, we find that these components can be expressed exactly in terms of the Fourier transform of the temporal beam profile. If T is the beam duration and Ω its rotation frequency, “magic products” ΩT can be identified which cancel the first harmonic of the deposited density, resulting in an improved irradiation symmetry.

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Outline

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Phys. Rev. E 85, 036402– Published 15 March, 2012
  • Received 31 October 2011

©2012 American Physical Society

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