PMID: 22587191May 17, 2012Paper

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

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
A BretN A Tahir

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.

References

Oct 25, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·N A TahirR Bock
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·N A TahirR Bock
Apr 17, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·N A TahirR Redmer
Jan 7, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A R PirizD H H Hoffmann
Mar 15, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A R PirizM Temporal
Nov 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A R PirizN A Tahir

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Citations

Jul 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A R PirizN A Tahir
Sep 17, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A R PirizN A Tahir

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