A comparative study of coherent bremsstrahlung and channeling radiation

Chouffani, K.; Überall, H.; Dougherty, R. W.; Fusina, R.A.; Genz, H.; Hoffmann-Stascheck, P.; Nething, U.; Richter, A.

doi:10.1016/0168-583x(94)95528-x

Cited by 4 publications

(8 citation statements)

References 6 publications

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“…2). However, experimental results show that channeling radiation can occur even though the incident angle is larger than the critical angle [1].…”

Section: Channeling Radiationmentioning

confidence: 93%

“…For a 20 mm crystal the linewidth is equal to 0.0429 keV, this mechanism is negligible compared to the previous mechanisms [1]. However, it becomes significant when the thickness is comparable to the coherence length of the electronic states [31].…”

Section: Crystal Thicknessmentioning

confidence: 94%

“…For angles larger than q c the population of the bound states does not vanish but it is greatly reduced compared to the maxima, and channeling radiation can occur, but with a very low probability. As the incident angle becomes larger than the critical angle, the population of the quasi-free states, which induce the coherent bremsstrahlung transitions [1], increases until it reaches 100%, while the population of the bound states vanishes. For larger angles (larger transverse momentum), there appear bands of equal width, each band corresponds to a Brillouin zone and only one quasi-free state is populated.…”

Section: Populationmentioning

confidence: 99%

“…A clear separation of the population of the bound states and that of the quasi-free states occurs above the critical angle. Channeling radiation and coherent bremsstrahlung transitions can coexist for angles smaller than q c , however, channeling radiation is predominant [1]. Since a zero beam divergence is never achieved, the actual electron beam is composed of an incoherent mixture of plane waves.…”

Section: Populationmentioning

confidence: 99%

“…The particle will suffer a series of correlated small-angle deflections as it passes through the crystal along its major direction. For particles with energies of several MeV, the trajectory is strongly influenced [1,2] by the atomic potential which is of the order of a few eV. Lindhard [3] introduced the theory of a continuum potential and it is obtained by averaging the potential over a direction parallel to a plane or an axis.…”

Section: Introductionmentioning

confidence: 99%

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Theory of Low Energy Channeling Radiation: Application to a Germanium Crystal

Chouffani

Überall

1999

phys. stat. sol. (b)

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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.

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“…2). However, experimental results show that channeling radiation can occur even though the incident angle is larger than the critical angle [1].…”

Section: Channeling Radiationmentioning

confidence: 93%

Section: Crystal Thicknessmentioning

confidence: 94%

Section: Populationmentioning

confidence: 99%

Section: Populationmentioning

confidence: 99%