Forward diffracted parametric X radiation from a silicon single crystal

Backe, H.; Rueda, Alfredo; Lauth, W.; Clawiter, N.; El-Ghazaly, Mohammed; Kunz, P.; Weber, Thomas

doi:10.1016/j.nimb.2005.01.014

Cited by 15 publications

(10 citation statements)

References 18 publications

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“…A number of new experiments on investigation of radiation spectra in case of planar channeling of electrons in crystals are carried out recently. Besides, new experiments with beams of relativistic electrons and positrons on the LNF Frascati (Italy) with energies 20÷855 MeV are planned within the framework of ТPU-LNF collaboration and for interpretation of the experimental data received in 2007 on the race-track microtron MAMI (Mainz, Germany) [14,15].…”

Section: Schrödinger Equation and Bloch Functionsmentioning

confidence: 99%

Structure of below-barrier and above-barrier energy bands and wave functions of a particle in the periodic potential of crystalline lattice

Babakhanyan

2012

J. Phys.: Conf. Ser.

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Structure of below-barrier and above-barrier energy bands and wave functions of a particle in the periodic potential of crystalline lattice Abstract. The knowledge of energy spectrum structure allows us to find the Bloch state wave functions. During the interaction of charged particles moving in a crystal, the wave functions represent the superposition of Bloch functions. The population of every Bloch state is characterized by Fourier-component squared. The analytical results received in the given work for periodic potential of a crystal lattice in the model of modified Pöschl-Teller's potential make a basis for studying the phenomena in a channeling mode of particles in crystals (the behaviour of particles at different depths of penetration into crystal, angular distributions of particles, both inside the crystal, and at its exited, etc.). The account of the zone structure of energetic spectrum of channeled electrons results in qualitative change of angular distributions of X-ray radiation under the Bragg angles. Therefore it is interesting within the framework of our approach to study the radiation, as well as an output of the nuclear reactions appearing in case of interaction of charged particles moving in a crystal.

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Section: Schrödinger Equation and Bloch Functionsmentioning

confidence: 99%

Structure of below-barrier and above-barrier energy bands and wave functions of a particle in the periodic potential of crystalline lattice

Babakhanyan

2012

J. Phys.: Conf. Ser.

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“…In the former only the amplitude from the exit interface remains, while in the latter the radiation amplitude created at the entrance interface survives and interferes coherently with the amplitude created at the exit interface. Both experiments have been performed at the Mainz Microtron MAMI [31].…”

Section: Parametric X Radiation As a Dynamical Processmentioning

confidence: 99%

“…A number of unsuccessful experiments were performed for the search of such a forward diffracted parametric X radiation (FDPXR) [25][26][27][28]. First observations of interference phenomena in the TR emission spectrum close to a Bragg energy from thin silicon single crystal targets were reported by the Mainz group [29]. Later on, the forward diffracted PXR peaks were observed by the Tomsk-Belgorod [30] and the Mainz [31] groups.…”

Section: Introductionmentioning

confidence: 99%

<title>Forward diffracted parametric X radiation from a thick Tungsten single crystal at 855 MeV electron energy</title>

et al. 2007

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Features of forward diffracted Parametric X-Radiation (PXR) were investigated at experiments with the 855 MeV electron beam of the Mainz Microtron MAMI employing a 410 µm thick tungsten single crystal. Virtual photons from the electron field are diffracted by the (101) plane at a Bragg angle of 3.977• . Forward emitted radiation was analyzed at an energy of 40 keV with the (111) lattice planes of a flat silicon single crystal in Bragg geometry. Clear peak structures were observed in an angular scan of the tungsten single crystal. The results were analyzed with a model which describes forward diffracted PXR under real experimental conditions. The experiments show that forward diffracted PXR may be employed to diagnose bending radii of lattice planes in large area single crystals.

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“…At the Mainz Microtron MAMI experiments were performed for the search of the forward-diffracted wave (FD-PXR) in single silicon crystals of various thicknesses [66]. The basic idea of the experiment will be explained by means of fig.…”

Section: Measurement Of Forward-diffracted Pxrmentioning

confidence: 99%

“…The interference structures can quantitatively be explained in the framework of the well-known TR production mechanism utilizing a generalized formation length for crystalline matter [66]. Within this model, which is based on the formalism described in ref.…”

Section: Measurement Of Forward-diffracted Pxrmentioning

confidence: 99%

Coherent X-rays at MAMI

et al. 2006

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Abstract. Coherent radiation in the range from soft X-rays up to hard X-rays, produced by the lowemittance electron beam of MAMI, can be used for various applications. Novel types of interferometers have been developed for the measurement of the complex index of refraction of thin self-supporting foils. For the vacuum ultraviolet and soft X-ray region the interferometer consists of two collinear undulators, and a grating spectrometer. A foil placed between the undulators causes a phase shift and an attenuation of the oscillation amplitude. The complex index of refraction has been measured at the L 2,3-absorption edges of nickel. A novel method is described for the measurement of the X-ray magnetic circular birefringence. For the hard X-ray region the interferometer consists of two foils at which the 855 MeV electron beam produces transition radiation. Distinct interference oscillations have been observed as a function of both, the photon emission angle and the distance between the foils. The refractive index decrement δ(ω) of a 2 µm thick nickel sample foil has been measured at X-ray energies around the K absorption edge at 8333 eV and at 9930 eV with an accuracy of better than 1.5 %. The line width of parametric X radiation (PXR) was measured in backward geometry with a Si single-crystal monochromator. Upper limits of the line width of 42 meV, 50 meV, and 44 meV, have been determined for the (333), (444) and (555) reflections at photon energies of 5932 eV, 7909 eV, and 9887 eV, respectively. Small angle scattering of the electrons in the crystal leads to a stochastic frequency modulation of the exponentially damped wave train which results in the line broadening. To elucidate the quest if the production of PXR is a kinematical or a dynamical process the radiation from silicon single-crystal targets, emitted close to the electron direction, has been studied. The observed interference structures and the narrow-band radiation in forward direction shows that PXR is produced in a dynamical process. .Ci Optical constants (including refractive index, complex dielectric constant, absorption, reflection and transmission coefficients, emissivity) -41.60.-m Radiation by moving charges -41.50.+h X-ray beams and X-ray optics PACS.

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Forward diffracted parametric X radiation from a silicon single crystal

Cited by 15 publications

References 18 publications

Structure of below-barrier and above-barrier energy bands and wave functions of a particle in the periodic potential of crystalline lattice

Structure of below-barrier and above-barrier energy bands and wave functions of a particle in the periodic potential of crystalline lattice

<title>Forward diffracted parametric X radiation from a thick Tungsten single crystal at 855 MeV electron energy</title>

Coherent X-rays at MAMI

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