Hostname: page-component-7bb8b95d7b-s9k8s Total loading time: 0 Render date: 2024-09-12T12:57:57.586Z Has data issue: false hasContentIssue false

Acceleration phase and improved rocket model for indirectly driven capsules

Published online by Cambridge University Press:  01 October 2004

YVES SAILLARD
Affiliation:
CEA-DAM Ile de France

Abstract

The system of differential equations for the non-ablated mass, the average implosion velocity, and the ablation radius of an indirectly driven capsule in acceleration phase, has been obtained from conservation principles of hydrodynamics. Two phases are distinguished during acceleration, according to the uniformity of the velocity in the non-ablated shell. The results of the integration of this system are well compared with numerical simulation of optimized capsules. Assuming that the ablation pressure depends only on the Hohlraum temperature, the relations between the non-ablated mass, the implosion velocity, and the ablation radius are obtained for optimized temperature shape. These relations provide the maximum implosion velocity and the remaining non-ablated mass in terms of the initial capsule and the maximum temperature (or the initial capsule mass in terms of the remaining non-ablated mass) useful to determine the required ablator thickness for optimized capsules. These results are also compared with numerical simulations of different capsules.

Type
Research Article
Copyright
© 2004 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Decoste, R., Bodner, S.E., Ripin, B.H., McLean, E.A., Obenschain, S.P. & Armstrong, C.M. (1979). Ablative acceleration of laser-irradiated thin foil targets. Phys. Rev. Lett. 42, 16731677.Google Scholar
Lindl, D. (1998). Inertial confinement fusion. Springer-Verlag, New York.
Saillard, Y. (2000a). Hydrodynamique de l'implosion d'une cible FCI. C. R. Acad. Sci. Paris IV, 705718.Google Scholar
Saillard, Y. (2000b). Implosion and ignition theories of high gain targets. Proc. Inertial Fusion Science and Appl. 1999, pp. 110113. New York: Elsevier.
Saillard, Y. (2002). Hydrodynamical deceleration phase of shell implosion. Proc. Inertial Fusion Science and Appl. 2001, pp. 132135. New York: Elsevier.
Saillard, Y. (2003). Implosion theory and hot spot features for an indirectly driven optimized capsule. Proc. of SPIE, Vol. 5228, ECIM 2002, Moscow, pp. 244253, Washington, SPIE.