Angular distribution of a broad beam of fast electrons reflected from a semiinfinite medium in the case of grazing incidence

1983 ◽  
Vol 54 (1) ◽  
pp. 10-14
Author(s):  
V. S. Remizovich
2009 ◽  
Vol 1181 ◽  
Author(s):  
Marina I Cornejo ◽  
Bashkim Ziberi ◽  
Michael Tartz ◽  
Horst Neumann ◽  
Frank Frost ◽  
...  

AbstractThe low energy ion beam erosion of solid surfaces is a simple bottom-up approach for the generation of nanostructures. For certain sputtering conditions caused by self-organization processes well ordered nanostructures on the surface like one-dimensional ripples or regular arrays of dots can be formed [1]. Using broad beam sources, the low energy ion beam erosion can be a cost-efficient method to produce large-area nanostructured surfaces in a one-step process.The processes involved have been studied in the last decades and the pattern formation is attributed to the competition of curvature dependant sputtering and various relaxation mechanisms. It is also well known that the ion beam incidence angle (the angle between the sample surface normal and the axis of the beam source) is one critical parameter that determines the surface topography. However, inherent to all broad beam sources, the ion beam exhibits a certain divergence, i.e. the ion trajectories are not parallel to each other. This generates a spread of the local incidence angle with respect to the geometrically defined beam incidence angle.Recent studies showed that the divergence angle and angular distribution of the ions, here called internal beam parameters, also affect the surface topography [2].The angular distribution can be controlled by the total voltage applied on the geometrical defined ion optical system of the broad beam ion source. For the given multi-aperture two-grid ion optical system the total voltage is the sum of the voltages applied to the first (screen) and second (accelerator) grid. This total voltage, together with the geometrical characteristics of the used grid systems, including the shape of the plasma sheath boundary at the screen grid, define the overall ion-optical parameters of the source, i. e. the divergence angle and angular distribution of the ions within the beam.In this contribution a first approach of the effect of the internal beam parameters on the surface topography is presented. It was analyzed the effect on the topography on Si surfaces of some experimental parameters that affect the internal beam parameters by changing the ion-optical parameters and the shape of the plasma sheath boundary. Explicitly, the influence of the discharge voltage, the operation time and the distance between the screen and accelerator grid is shown.[1] B. Ziberi, M. Cornejo, F. Frost, B. Rauschenbach, J. Phys.: Condens. Matter (submitted).[2] B. Ziberi, F. Frost, M. Tartz, H. Neumann, B. Rauschenbach, Appl. Phys. Lett. 92, 063102 (2008)


1997 ◽  
Vol 15 (1) ◽  
pp. 139-143
Author(s):  
V.A. Lykov ◽  
V.E. Chernyakov ◽  
Ya.Z. Kandiev ◽  
I.A. Litvinenko ◽  
V.G. Nikolaev

The results of numerical simulations of fast electrons interaction with matter, calculated yield and angular distribution of bremsstrahlung and fluorescence K-α X-ray radiation and generation of electromagnetic fields, carried out by ERA, PM2D, and PRIZMA codes for the state of experiments on interaction of ultra-short laser pulses with high-Z targets at intensity of 1016−1018 W/cm2 are presented. Spherical targets with conical hollows and conical targets of high-Z matter are proposed for experiments with picosecond lasers to increase the brightness of hard X-ray sources.


Open Physics ◽  
2011 ◽  
Vol 9 (5) ◽  
Author(s):  
Arkadiy Baltenkov ◽  
Steven Manson ◽  
Alfred Msezane

AbstractA comprehensive study is undertaken of angular distributions of electron knock-out from atomic targets by fast electrons with a small transfer of momentum. The general expressions for the parameters of the triple differential cross-section of impact ionization in the optical limit are derived. The calculated parameters are compared with those of the angular distribution of electrons ejected from an atom in the process of photoionization. In these processes, when the multipole transitions are involved, the one-to-one correspondence between the photoionization and impact ionization parameters disappears. The nondipole transitions lead to the backward/forward asymmetry of the angular distribution of ejected electrons that is absent in the dipole approximation for ionization by both fast electrons and photons. Using the He atom as an example, the character of the asymmetry for these two processes is qualitatively different and the backward/forward asymmetry results in macroscopic directed motion of secondary electrons accompanying the passing of a fast electron beam through gas or plasma. The general formulas for this drag current are derived and applied to gaseous He.


1952 ◽  
Vol 5 (2) ◽  
pp. 258
Author(s):  
EM Gunnersen

The angular distribution for the single elastic scattering of 1.07 MeV, positrons and electrons by the Hartree field of mercury (Z=80) is calculated. The results show no large deviations from Coulomb values except, possibly, a slight increase in the region of 90� for electrons.


2015 ◽  
Vol 379 (5) ◽  
pp. 431-434 ◽  
Author(s):  
K.A. Vokhmyanina ◽  
G.P. Pokhil ◽  
P.N. Zhukova ◽  
A.S. Kubankin ◽  
E.F. Irribarra ◽  
...  

The theory of inelastic scattering is studied for the transmission of fast electrons through crystals when the fast electrons are described by Bloch waves so that Bragg reflexion is also considered. Solutions for the wave amplitudes are obtained for the case of small-angle inelastic scattering and it is shown that interband inelastic scattering transitions of the fast electron are forbidden when the interaction potential is of the long range type which might arise in the excitation of Plasmon’s. This result would explain recent electron microscope observations of similar diffraction contrast effects obtained using elastically scattered or inelastically scattered electrons, and also shows that such inelastic scattering need not be considered in theories of diffraction contrast. The theory also predicts a Poisson distribution for the intensities of the various peaks observed in the energy spectrum of the transmitted electrons. In thick crystals, where anomalous absorption effects are important, the angular distribution of the scattered intensity round the Bragg diffraction spots is found to contain an asymmetry in qualitative agreement with the experimental observations.


2006 ◽  
Vol 24 (2) ◽  
pp. 217-222 ◽  
Author(s):  
J. J. HONRUBIA ◽  
C. ALFONSÍN ◽  
L. ALONSO ◽  
B. PÉREZ ◽  
J. A. CERRADA

Recent experiments of fast electron heating of aluminum foil targets have been analyzed by means of hybrid PIC simulations. A suitable initial angular distribution of fast electrons has been used and the diameter of the fast electron source has been fitted to reproduce with the same simulation parameters the beam divergence, Kα yields and temperatures at the target rear surface measured in the experiments. This results in a consistent description of the fast electron propagation that can be useful in general for simulations of laser-driven fast electron transport in dense media.


1970 ◽  
Vol 1 (2) ◽  
pp. 299-304 ◽  
Author(s):  
Byung-Ho Choi ◽  
Eugen Merzbacher

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