Approach to Ionization Equilibrium and Atomic Collision Cross-Section Measurement in a Helium Shock Wave

1973 ◽  
Vol 51 (18) ◽  
pp. 1956-1964 ◽  
Author(s):  
S. P. Kalra ◽  
R. M. Measures

A theoretical and experimental study of the initial ionization phase of an ionizing helium shock wave has been accomplished. Ionization relaxation time and the electron density profile behind the shock translational front have been measured. Both of these parameters have strong dependence upon the atomic collisional excitation rate in the initial phase of the ionizing shock wave, and therefore, a comparison with theory led to an estimation of the atom–atom collisional excitation cross section. Theoretical predictions for the relaxation zone of the helium shock wave indicated only a weak coupling between the electron and atom temperature during the relaxation process. A plasma focus driven shock tube was used to create the appropriate helium shock waves. Simultaneous measurement of the relaxation time and the electron density profile was performed using a multipass Fabry–Perot laser interferometer. A close agreement between the theoretical and the experimental temporal electron density profile was obtained with our experimental conditions (pressure P∞ = 0.5–5 Torr, shock Mach number 16–26). The effective cross section for atom–atom excitation close to threshold is [Formula: see text].

2012 ◽  
Vol 45 (6) ◽  
pp. 1278-1286 ◽  
Author(s):  
Cristiano L. P. Oliveira ◽  
Barbara B. Gerbelli ◽  
Emerson R. T. Silva ◽  
Frédéric Nallet ◽  
Laurence Navailles ◽  
...  

A new method for analysis of scattering data from lamellar bilayer systems is presented. The method employs a form-free description of the cross-section structure of the bilayer and the fit is performed directly to the scattering data, introducing also a structure factor when required. The cross-section structure (electron density profile in the case of X-ray scattering) is described by a set of Gaussian functions and the technique is termed Gaussian deconvolution. The coefficients of the Gaussians are optimized using a constrained least-squares routine that induces smoothness of the electron density profile. The optimization is coupled with the point-of-inflection method for determining the optimal weight of the smoothness. With the new approach, it is possible to optimize simultaneously the form factor, structure factor and several other parameters in the model. The applicability of this method is demonstrated by using it in a study of a multilamellar system composed of lecithin bilayers, where the form factor and structure factor are obtained simultaneously, and the obtained results provided new insight into this very well known system.


1981 ◽  
Vol 64 (11) ◽  
pp. 68-74
Author(s):  
Isamu Nagano ◽  
Masayoshi Mambo ◽  
Tetsuo Fukami ◽  
Koji Namba ◽  
Iwane Kimura

2021 ◽  
Vol 9 ◽  
Author(s):  
M. Turner ◽  
A. J. Gonsalves ◽  
S. S. Bulanov ◽  
C. Benedetti ◽  
N. A. Bobrova ◽  
...  

Abstract We measured the parameter reproducibility and radial electron density profile of capillary discharge waveguides with diameters of 650 $\mathrm{\mu} \mathrm{m}$ to 2 mm and lengths of 9 to 40 cm. To the best of the authors’ knowledge, 40 cm is the longest discharge capillary plasma waveguide to date. This length is important for $\ge$ 10 GeV electron energy gain in a single laser-driven plasma wakefield acceleration stage. Evaluation of waveguide parameter variations showed that their focusing strength was stable and reproducible to $<0.2$ % and their average on-axis plasma electron density to $<1$ %. These variations explain only a small fraction of laser-driven plasma wakefield acceleration electron bunch variations observed in experiments to date. Measurements of laser pulse centroid oscillations revealed that the radial channel profile rises faster than parabolic and is in excellent agreement with magnetohydrodynamic simulation results. We show that the effects of non-parabolic contributions on Gaussian pulse propagation were negligible when the pulse was approximately matched to the channel. However, they affected pulse propagation for a non-matched configuration in which the waveguide was used as a plasma telescope to change the focused laser pulse spot size.


2021 ◽  
Vol 28 (5) ◽  
pp. 052510
Author(s):  
X. R. Zhang ◽  
J. Q. Dong ◽  
H. R. Du ◽  
J. Y. Liu ◽  
Y. Shen ◽  
...  

1999 ◽  
Vol 70 (1) ◽  
pp. 1038-1041 ◽  
Author(s):  
C. W. Domier ◽  
Y. Roh ◽  
N. C. Luhmann

2003 ◽  
Vol 74 (3) ◽  
pp. 1525-1529 ◽  
Author(s):  
G. Wang ◽  
L. Zeng ◽  
E. J. Doyle ◽  
T. L. Rhodes ◽  
W. A. Peebles

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