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Plasma Phys. Control. Fusion 53 (2011) 093001<br />
Topical Review<br />
from <strong>the</strong> extra viscous heating which occurs at high temperature. It should be noted that all<br />
<strong>the</strong> results here are for masses below <strong>the</strong> break-point for onset <strong>of</strong> <strong>the</strong> efficient regime. A triple<br />
nested array was explored and gave up to 200 TW total x-ray power for a 4:2:1 mass and<br />
radius ratio, with T e ≃ 3.8 keV and a narrower pulse. It was noted that radiative cooling in <strong>the</strong><br />
L-shell complicates <strong>the</strong> simple model and reduces <strong>the</strong> efficiency <strong>of</strong> K-shell radiation.<br />
A transition from I 4 to I 2 scaling <strong>of</strong> keV radiation found by Sorokin et al [653]at4MAin<br />
a double shell gas-puff experiment in argon. They claim this is due to a very high compression<br />
<strong>of</strong> <strong>the</strong> <strong>pinch</strong> to a diameter <strong>of</strong> 0.2 mm when <strong>the</strong> inner and outer shells had mean radii <strong>of</strong> 4 mm<br />
and 13 mm, respectively, i.e. a 45-fold radial compression. This might be based on <strong>the</strong> timeintegrated<br />
pinhole photographs <strong>of</strong> <strong>the</strong> <strong>pinch</strong>. A similar result was found by Sze et al [654].<br />
There is a tendency for <strong>the</strong> hotter electrons to drift preferentially towards <strong>the</strong> axis (see<br />
sections 2.6 and 2.7). Indeed runaway electrons can only exist in a Z-<strong>pinch</strong> within one Larmor<br />
radius <strong>of</strong> <strong>the</strong> axis (section 2.2). Combined with m = 0 instabilities bright micro-<strong>pinch</strong>es have<br />
been observed by Alikhanov et al [655] with pulsed gas injections. Indeed Kr xxxv–Kr xxxvI<br />
ions with ionization potentials ∼17 keV suggest electrons with 3–5 keV temperature. Choi et al<br />
[656] distinguished hard and s<strong>of</strong>t x-rays from a gas-puff Z-<strong>pinch</strong>, <strong>the</strong> former being associated<br />
with bursts <strong>of</strong> ∼10 keV electron beams and emission from <strong>the</strong> anode. Li and Yang [657] showed<br />
that a thinner gas sheath gave a higher velocity <strong>of</strong> compression and a higher x-ray yield, while<br />
Bayley et al [658] injected argon through a hole in <strong>the</strong> anode <strong>of</strong> <strong>the</strong> speed 2 plasma focus to<br />
obtain s<strong>of</strong>t x-rays from micro-<strong>pinch</strong>es along <strong>the</strong> axis. Chuvatin et al [659] considered a two<br />
stage heating <strong>of</strong> an argon gas fill. The first stage was shock heating and <strong>the</strong>rmal conduction from<br />
an imploding shell, and <strong>the</strong> second is an adiabatic compression to <strong>the</strong> required temperature.<br />
Bergman and Lebert [660] varied parameters to find <strong>the</strong> optimization <strong>of</strong> Lyman-α emission in<br />
a plasma focus. In section 7.2 <strong>the</strong> x-ray emission from a plasma focus is discussed in detail.<br />
The X-<strong>pinch</strong> (see section 7.6) is also a very useful source <strong>of</strong> 1–10 keV photons, and<br />
its small volume <strong>of</strong> emission (