Abstract

We have developed an accelerator architecture that can serve as the basis of the design of petawatt-class $z$-pinch drivers. The architecture has been applied to the design of two $z$-pinch accelerators, each of which can be contained within a 104-m-diameter cylindrical tank. One accelerator is driven by slow ($\ensuremath{\sim}1\text{ }\ensuremath{\mu}\mathrm{s}$) Marx generators, which are a mature technology but which necessitate significant pulse compression to achieve the short pulses ($\ensuremath{\ll}1\text{ }\ensuremath{\mu}\mathrm{s}$) required to drive $z$ pinches. The other is powered by linear transformer drivers (LTDs), which are less mature but produce much shorter pulses than conventional Marxes. Consequently, an LTD-driven accelerator promises to be (at a given pinch current and implosion time) more efficient and reliable. The Marx-driven accelerator produces a peak electrical power of 500 TW and includes the following components: (i) 300 Marx generators that comprise a total of $1.8\ifmmode\times\else\texttimes\fi{}{10}^{4}$ capacitors, store 98 MJ, and erect to 5 MV; (ii) 600 water-dielectric triplate intermediate-store transmission lines, which also serve as pulse-forming lines; (iii) 600 5-MV laser-triggered gas switches; (iv) three monolithic radial-transmission-line impedance transformers, with triplate geometries and exponential impedance profiles; (v) a 6-level 5.5-m-diameter 15-MV vacuum insulator stack; (vi) six magnetically insulated vacuum transmission lines (MITLs); and (vii) a triple-post-hole vacuum convolute that adds the output currents of the six MITLs, and delivers the combined current to a $z$-pinch load. The accelerator delivers an effective peak current of 52 MA to a 10-mm-length $z$ pinch that implodes in 95 ns, and 57 MA to a pinch that implodes in 120 ns. The LTD-driven accelerator includes monolithic radial transformers and a MITL system similar to those described above, but does not include intermediate-store transmission lines, multimegavolt gas switches, or a laser trigger system. Instead, this accelerator is driven by 210 LTD modules that include a total of $1\ifmmode\times\else\texttimes\fi{}{10}^{6}$ capacitors and $5\ifmmode\times\else\texttimes\fi{}{10}^{5}$ 200-kV electrically triggered gas switches. The LTD accelerator stores 182 MJ and produces a peak electrical power of 1000 TW. The accelerator delivers an effective peak current of 68 MA to a pinch that implodes in 95 ns, and 75 MA to a pinch that implodes in 120 ns. Conceptually straightforward upgrades to these designs would deliver even higher pinch currents and faster implosions.

Highlights

  • A number of high-current z-pinch accelerators have been developed by the international pulsed-power community

  • Under such conditions we can write where where ZIS;o is the output impedance of the system of intermediate stores and. In this expression Lg is the inductance of the system of laser-triggered gas switches, g is the width of the pulse incident upon the switches, and Rg is the characteristic resistance of the system of switches

  • V produce electrical powers an order of magnitude greater than are presently available. Such powers would enable high-energy-density physics experiments to be conducted over heretofore inaccessible parameter regimes

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Summary

INTRODUCTION

A number of high-current z-pinch accelerators have been developed by the international pulsed-power community. The design complexity of the LTD-based driver is significantly reduced relative to that of other accelerators, since it includes (i) no intermediate-store capacitors; (ii) no multimegavolt gas switches; (iii) no sulfur hexafluoride; (iv) no laser-trigger systems; (v) no pulse-forming transmission lines; (vi) no water switches; (vii) no long self-limited. The LTD-driven architecture described differs from the previous LTDs designs [60,74 –76,79] in the following manner: (i) Each LTD module drives a concentric impedance-matched water-dielectric transmission line (as proposed by Corcoran and co-workers [75]), instead of a vacuum- or oil-insulated line; (ii) each such transmission line in turn drives a monolithic triplate radial-transmission-line impedance transformer, which is water insulated and has an exponential impedance profile; and (iii) each triplate impedance transformer connects directly, without a water convolute, to a triplate magnetically insulated transmission line located at the center of the accelerator.

Description
MARX-BASED ACCELERATOR DESIGN
Scaling of I with other accelerator parameters
Accelerator reliability
LTD-BASED ACCELERATOR ARCHITECTURE
Analytic model of an LTD-based accelerator
LTD-BASED ACCELERATOR DESIGN
Advantages of the LTD-based accelerator
Findings
DISCUSSION

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