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Between two stream and filamentation instabilities: Temperature and collisions effects

Published online by Cambridge University Press:  06 March 2006

ANTOINE BRET ,
MARIE-CHRISTINE FIRPO  and
CLAUDE DEUTSCH
ANTOINE BRET
Affiliation:
ETSI Industriales, Universidad Castilla la Mancha, Ciudad Real, Spain
MARIE-CHRISTINE FIRPO
Affiliation:
Laboratoire de Physique et Technologie des Plasmas (CNRS-UMR 7648), Ecole Polytechnique, Palaiseau, France
CLAUDE DEUTSCH
Affiliation:
Laboratoire de Physique des Gaz et des Plasmas (CNRS-UMR 8578), Université Paris XI, Orsay cedex, France
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Abstract

We will consider relativistic electron beam interacting with plasma and study the electromagnetic instabilities obtained for arbitrarily oriented wave vectors ranging from two-stream to filamentation instabilities. For these unstable modes, we will study every temperature effects, namely beam and plasma normal, and parallel temperatures. Temperatures are supposed to be non-relativistic and modeled through water bag distributions. It is found that only normal beam temperature and parallel plasma temperature have a significative influence over the growth rates for wave vector making an angle with the beam larger than a critical angle θc which is determined exactly. The largest growth rate being reached for a wave vector making an angle with the beam smaller than θc, it is not damped by any kind of temperatures. We finally explore collisions effects and show they can reduce the largest growth rate.

Keywords

Fast ignition scenarioFilamentation instabilityTwo-stream instabilityWeibel instability
Type
Research Article
Information
Laser and Particle Beams , Volume 24 , Issue 1 , March 2006 , pp. 27 - 33
Copyright
© 2006 Cambridge University Press

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References

REFERENCES

Bret, A., Firpo, M. & Deutsch, C. (2004). Collective electromagnetic modes for beam-plasma interaction in the whole k space. Phys. Rev. E 70, 046401.Google Scholar
Bret, A., Firpo, M.-F. & Deutsch, C. (2005). Bridging the gap between two-stream and filamentation instabilities. Laser Part. Beams 23, 375.Google Scholar
Deutsch, C. (2003). Transport of megaelectron volt protons for fast ignition. Laser Part. Beams 21, 33.Google Scholar
Deutsch, C., Bret, A. & Fromy, P. (2005). Mitigation of electromagnetic instabilities in fast ignition scenario. Laser Part. Beams 23, 5.Google Scholar
Deutsch, C., Furukawa, H., Mima, K., Murakami, M. & Nishihara, K. (1997). Interaction physics of the fast ignitor concept. Laser Part. Beams 15, 577.Google Scholar
Koch, J., Back, C., Brown, C., Estabrook, K., Hammel, B., Hatchett, S., Key, M., Kilkenny, J., Landen, O., Lee, R., Moody, J., Offenberger, A., Pennington, D., Ferry, M., Tabak, M., Yanovsky, V., Wallace, R., Wharton, K. & Wilks, S. (1998). Time-resolved X-ray spectroscopy of deeply buried tracer layers as a density and temperature diagnostic for the fast ignitor. Laser Part. Beams 16, 225.Google Scholar
Mikhailovskii, A. (1974). Theory of Plasma Instabilities. Vol. 1. New York: Consultant Bureau.
Mulser, P. & Bauer, D. (2004). Fast ignition of fusion pellets with superintense lasers: Concepts, problems, and prospectives. Laser Part. Beams 22, 5–12.Google Scholar
Silva, L.O., Fonseca, R.A., Tonge, J.W., Mori, W.B. & Dawson, J.M. (2002). On the role of the purely transverse weibel instability in fast ignitor scenarios. Phys. Plasmas 9, 2458.Google Scholar
Tabak, M., Hammer, J., Glinsky, M. E., Kruer, W. L., Wilks, S. C., Wood-worth, J., Campbell, E. M., Perry, M. D. & Mason, R. J. (1994). Ignition and high-gain with ultrapowerful lasers. Phys. Plasmas 1, 1626.Google Scholar
Umstadter, D. (2003). Relativistic laser-plasma interactions. J. Phys. D: Appl. Phys. 36, 151.Google Scholar
Weibel, E. S. (1959). Spontaneously growing transverse waves in a plasma due to an anisotropic velocity distribution. Phys. Rev. Lett. 2, 83.Google Scholar