The theory of Channeling Radiation (CR) as applied to a germanium crystal target (spectra and linewidths) is presented here for electron energies less than 12 MeV. For higher electron energies, the channeling radiation spectrum in a germanium crystal is composed of energy lines that are so close to each other that the spectrum results in a broad envelope. The many‐beam formalism and the standard Hartree‐Fock potentials are used to calculate the CR transition energies. The expressions of CR spectral linewidths are derived from the use of the complex optical potential which describes the incoherent scattering from thermally vibrating atoms of the crystal. The population of the different quantum states as a function of the crystal thickness is also obtained. In this study we will present calculations for major axes or planes of a germanium crystal. For other crystals with diamond like structure and other planes or axes, the reader is invited to use the given formulas and parameters.
Laser-Compton scattering (LCS) experiments were carried out at the Idaho Accelerator Center using the 5 ns (FWHM) and 22 MeV electron beam. The electron beam was brought to an approximate head-on collision with a 29 MW, 7 ns (FWHM), 10 Hz Nd:YAG laser. Clear and narrow x-ray peaks resulting from the interaction of relativistic electrons with the Nd:YAG laser second harmonic line at 532 nm were observed. We have developed a relatively new method of using LCS as a nonintercepting electron beam monitor. Our method focused on the variation of the shape of the LCS spectrum rather than the LCS intensity as a function of the observation angle in order to extract the electron beam parameters at the interaction region. The electron beam parameters were determined by making simultaneous fits to spectra taken across the LCS x-ray cone. This scan method allowed us also to determine the variation of LCS xray peak energies and spectral widths as a function of the detector angles. Experimental data show that in addition to being viewed as a potential bright, tunable, and quasimonochromatic x-ray source, LCS can provide important information on the electron beam pulse length, direction, energy, angular and energy spread. Since the quality of LCS x-ray peaks, such as degree of monochromaticity, peak energy and flux, depends strongly on the electron beam parameters, LCS can therefore be viewed as an important nondestructive tool for electron beam diagnostics.
Laser-Compton scattering (LCS) experiments were carried out at the
Idaho Accelerator Center (ICA) using the 5 ns (FWHM) and 22 MeV electron
beam. The electron beam was brought to an approximate head-on collision
with a 7 ns (FWHM), 10 Hz, 29 MW peak power Nd:YAG laser. We observed
clear and narrow X-ray peaks resulting from the interaction of
relativistic electrons with the 532 nm Nd:YAG laser second harmonic line
on top of a very low bremsstrahlung background. We have developed a method
of using LCS as a non-intercepting electron beam monitor. Unlike the
method used by Leemans et al. (1996),
our method focused on the variation of the shape of the LCS spectrum
rather than the LCS intensity as a function of the observation angle in
order to extract the electron beam parameters at the interaction region.
The electron beam parameters were determined by making simultaneous fits
to spectra taken across the LCS X-ray cone. We also used the variation of
LCS X-ray peak energy and spectral width as a function of the detector
angles to determine the electron beam angular spread, and direction and
compared the results to the previous method. Experimental data show that
in addition to being viewed as potential bright, tunable and monochromatic
X-ray source, LCS can provide important information on electron beam pulse
length, direction, energy, angular, and energy spread. Since the quality
of LCS X-ray peaks, such as degree of monochromaticity, peak energy and
flux, depends strongly on the electron beam parameters, LCS can therefore
be viewed as an important non-destructive means for electron beam
diagnostics.
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