### Abstract

The number of bremsstrahlung photons and the resulting energy loss for an electron passing through a crystal are random quantities. The kinetic equation for the energy loss distribution has been derived and transformed into the equations for the distributions moments. The equations for the moments have been solved in continuous slowing down approximation using full screening Bethe-Heitler formulas for incoherent bremsstrahlung cross-sections and simple phenomenological expressions for coherent bremsstrahlung and channeling radiation. The solutions were used to calculate the number of `coherent' photons per unit path length and the mean energy of a photon. They were expressed in terms of the moments of energy loss distribution which can be determined experimentally. The results are compared with the data of other authors.

Original language | English |
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Pages (from-to) | 126-131 |

Number of pages | 6 |

Journal | Nuclear Instruments and Methods in Physics Research, Section B: Beam Interactions with Materials and Atoms |

Volume | 173 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1 Jan 2001 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Instrumentation

### Cite this

**Multiphoton processes in radiation of relativistic electrons in oriented crystals.** / Kolchuzhkin, A.; Potylitsyn, A.

Research output: Contribution to journal › Article

*Nuclear Instruments and Methods in Physics Research, Section B: Beam Interactions with Materials and Atoms*, vol. 173, no. 1, pp. 126-131. https://doi.org/10.1016/S0168-583X(00)00318-9

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TY - JOUR

T1 - Multiphoton processes in radiation of relativistic electrons in oriented crystals

AU - Kolchuzhkin, A.

AU - Potylitsyn, A.

PY - 2001/1/1

Y1 - 2001/1/1

N2 - The number of bremsstrahlung photons and the resulting energy loss for an electron passing through a crystal are random quantities. The kinetic equation for the energy loss distribution has been derived and transformed into the equations for the distributions moments. The equations for the moments have been solved in continuous slowing down approximation using full screening Bethe-Heitler formulas for incoherent bremsstrahlung cross-sections and simple phenomenological expressions for coherent bremsstrahlung and channeling radiation. The solutions were used to calculate the number of `coherent' photons per unit path length and the mean energy of a photon. They were expressed in terms of the moments of energy loss distribution which can be determined experimentally. The results are compared with the data of other authors.

AB - The number of bremsstrahlung photons and the resulting energy loss for an electron passing through a crystal are random quantities. The kinetic equation for the energy loss distribution has been derived and transformed into the equations for the distributions moments. The equations for the moments have been solved in continuous slowing down approximation using full screening Bethe-Heitler formulas for incoherent bremsstrahlung cross-sections and simple phenomenological expressions for coherent bremsstrahlung and channeling radiation. The solutions were used to calculate the number of `coherent' photons per unit path length and the mean energy of a photon. They were expressed in terms of the moments of energy loss distribution which can be determined experimentally. The results are compared with the data of other authors.

UR - http://www.scopus.com/inward/record.url?scp=0035157861&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035157861&partnerID=8YFLogxK

U2 - 10.1016/S0168-583X(00)00318-9

DO - 10.1016/S0168-583X(00)00318-9

M3 - Article

AN - SCOPUS:0035157861

VL - 173

SP - 126

EP - 131

JO - Nuclear Instruments and Methods in Physics Research, Section B: Beam Interactions with Materials and Atoms

JF - Nuclear Instruments and Methods in Physics Research, Section B: Beam Interactions with Materials and Atoms

SN - 0168-583X

IS - 1

ER -