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Propagation of a dense relativistic electron beam through a gas
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View: Figures


Image of FIG. 1.
FIG. 1.

(Color online) The values of the ionization front velocity obtained by numerical solution of Eqs. (1)–(4) are plotted for argon with . The asymptotic analytical solutions are plotted for two limits when and , curves and , respectively. The experimental results for argon from Ref. 6 are shown by the “Experiment” data points.

Image of FIG. 2.
FIG. 2.

(Color online) Same as Fig. 1 but with for argon.

Image of FIG. 3.
FIG. 3.

(Color online) Same as Fig. 1 but for helium with .

Image of FIG. 4.
FIG. 4.

(Color online) Same as Fig. 1 but for helium with .

Image of FIG. 5.
FIG. 5.

(Color online) The profiles of the normalized E-field (a) and atom density (b) are plotted as functions of the normalized potential . Different curves correspond to different values of the beam density smoothness parameter , . The values of other parameters are the same (, , [argon]) except for and , respectively. Stars show the analytical estimate of the position of the E-field maximum and the corresponding value of the atom density [see Eq. (14)].

Image of FIG. 6.
FIG. 6.

(Color online) The ratio of the beam density to the gas density (for argon with ) is given as a function of gas density for the set of beam energies (0.2, 0.5, 2, and ; thick curves). Thin curves correspond to the estimation given in Eq. (14).

Image of FIG. 7.
FIG. 7.

(Color online) The values of parameter are shown (to verify that ) for a set of numerical solutions shown in Fig. 1. The data are given for argon with and and . For , the values of parameters and are also plotted to verify that .

Image of FIG. 8.
FIG. 8.

(Color online) The value of the parameter defined in Eq. (17) is given as a function of the beam density smoothness to verify the assumption , which requires . The other assumption, , requires that , and the corresponding curve is shown for two values of . The latter condition is satisfied only if is not too large.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Propagation of a dense relativistic electron beam through a gas