### Abstract

The problem of stochastic in multiple electron-photon head-on collisions has been considered in the paper. A kinetic theory for the distributions over the electron energy and collisions number and the equations for these distribution moments are used for this study instead of frequently used approximate estimations. An iterative method has been suggested for solving the equations for the distribution moments. It has been shown that the variance of the energy distribution as a function of the mean number of collisions has a maximum at some value of n̄ if the incident energy spread of electrons is less than some limit value. That is, the energy spread damping due to the head-on electron-photon collisions takes place for electrons with large enough variance of energy distribution. Analytical formulas and Monte Carlo simulation show that multiple scattering of electrons influences on the spectra both electrons and photons even for the photon target of small thickness. In particular, multiple scattering of electrons leads to broadening of spectra of photons with small emission angle. This fact has to be taken into account in the nuclear and high energy physics experiments where such photon beams can be used and beam monochromaticity is important.

Original language | English |
---|---|

Pages (from-to) | 307-314 |

Number of pages | 8 |

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

Volume | 201 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jan 2003 |

### Fingerprint

### Keywords

- Electron-photon head-on collision
- Kinetic equation
- Monte Carlo simulation
- Multiple energy loss

### ASJC Scopus subject areas

- Surfaces, Coatings and Films
- Instrumentation
- Surfaces and Interfaces

### Cite this

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

*201*(1), 307-314. https://doi.org/10.1016/S0168-583X(02)01525-2

**Stochastics of multiple electron-photon head-on collisions.** / Kolchuzhkin, A.; Potylitsyn, A.; Strokov, Sergey Alexandrovich; Ababiy, V.

Research output: Contribution to journal › Article

*Nuclear Instruments and Methods in Physics Research, Section B: Beam Interactions with Materials and Atoms*, vol. 201, no. 1, pp. 307-314. https://doi.org/10.1016/S0168-583X(02)01525-2

}

TY - JOUR

T1 - Stochastics of multiple electron-photon head-on collisions

AU - Kolchuzhkin, A.

AU - Potylitsyn, A.

AU - Strokov, Sergey Alexandrovich

AU - Ababiy, V.

PY - 2003/1

Y1 - 2003/1

N2 - The problem of stochastic in multiple electron-photon head-on collisions has been considered in the paper. A kinetic theory for the distributions over the electron energy and collisions number and the equations for these distribution moments are used for this study instead of frequently used approximate estimations. An iterative method has been suggested for solving the equations for the distribution moments. It has been shown that the variance of the energy distribution as a function of the mean number of collisions has a maximum at some value of n̄ if the incident energy spread of electrons is less than some limit value. That is, the energy spread damping due to the head-on electron-photon collisions takes place for electrons with large enough variance of energy distribution. Analytical formulas and Monte Carlo simulation show that multiple scattering of electrons influences on the spectra both electrons and photons even for the photon target of small thickness. In particular, multiple scattering of electrons leads to broadening of spectra of photons with small emission angle. This fact has to be taken into account in the nuclear and high energy physics experiments where such photon beams can be used and beam monochromaticity is important.

AB - The problem of stochastic in multiple electron-photon head-on collisions has been considered in the paper. A kinetic theory for the distributions over the electron energy and collisions number and the equations for these distribution moments are used for this study instead of frequently used approximate estimations. An iterative method has been suggested for solving the equations for the distribution moments. It has been shown that the variance of the energy distribution as a function of the mean number of collisions has a maximum at some value of n̄ if the incident energy spread of electrons is less than some limit value. That is, the energy spread damping due to the head-on electron-photon collisions takes place for electrons with large enough variance of energy distribution. Analytical formulas and Monte Carlo simulation show that multiple scattering of electrons influences on the spectra both electrons and photons even for the photon target of small thickness. In particular, multiple scattering of electrons leads to broadening of spectra of photons with small emission angle. This fact has to be taken into account in the nuclear and high energy physics experiments where such photon beams can be used and beam monochromaticity is important.

KW - Electron-photon head-on collision

KW - Kinetic equation

KW - Monte Carlo simulation

KW - Multiple energy loss

UR - http://www.scopus.com/inward/record.url?scp=0037269704&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037269704&partnerID=8YFLogxK

U2 - 10.1016/S0168-583X(02)01525-2

DO - 10.1016/S0168-583X(02)01525-2

M3 - Article

AN - SCOPUS:0037269704

VL - 201

SP - 307

EP - 314

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 -