Kg. Whitney et al., ANALYZING TIME-RESOLVED SPECTROSCOPIC DATA FROM AN AZIMUTHALLY SYMMETRICAL, ALUMINUM-WIRE ARRAY, Z-PINCH IMPLOSION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(3), 1997, pp. 3540-3557
A 90-wire, aluminum, z-pinch experiment was conducted on the Saturn ac
celerator at the Sandia National Laboratories that exhibited azimuthal
ly symmetric implosions and two x-ray bursts, a main burst and a subsi
diary one. These bursts correlated with two consecutive radial implosi
ons and are consistent with predicted magnetohydrodynamics behavior. A
variety of time-resolved, accurately timed, spectroscopic measurement
s were made in this experiment and are described in this paper. These
measurements include (1) the pinch implosion time, (2) time-resolved p
inhole pictures that give sizes of the K-shell emission region, (3) ti
me-resolved K-series spectra that give the relative amounts of hydroge
nlike to heliumlike to continuum emission, (4) the total and the K-she
ll x-ray power outputs, and (5) time-resolved photoconducting diode me
asurements from which continuum slopes and time-resolved electron temp
eratures can be inferred. Time-resolved Ly-alpha and Ly-beta linewidth
s are obtained from the spectra and inferences about time-resolved ion
temperatures are also made. AII of these data correlate well with one
another. A method is then presented of analyzing this data that relie
s on the complete set of time-resolved measurements. This analysis uti
lizes one-dimensional radiative magnetohydrodynamic simulations of the
experiments, which drive z-pinch implosions using the measured Saturn
circuit parameters. These simulations are used to calculate the same
x-ray quantities as were measured. Then, comparisons of the measured a
nd calculated data are shown to define a process by which different dy
namical assumptions can be invoked or rejected in an attempt to reprod
uce the ensemble of data. This process depends on the full data set an
d provides insight into the structure of the radial temperature and de
nsity gradients of the on-axis pinch. It implies that the first implos
ion is composed of a hot plasma core, from which the kilovolt emission
s emanate, surrounded by a cooler, denser shell, and it provides detai
ls about the structure of the temperature and density gradients betwee
n the core and shell regions. These results are found to be broadly co
nsistent with an earlier, less detailed, data analysis in which plasma
gradients are ignored. However, the ability to reproduce the full spe
ctroscopic data in the present analysis is found to be sensitively dep
endent on the radial gradients that are calculated.