Ядерна фізика та енергетика Nuclear Physics and Atomic Energy   ISSN: 1818-331X (Print), 2074-0565 (Online)   Publisher: Institute for Nuclear Research of the National Academy of Sciences of Ukraine   Languages: Ukrainian, English   Periodicity: 4 times per year   Open access peer reviewed journal

Full text (ru)

M. E. Dolinska, N. L. Doroshko, O. K. Zaichenko

Institute for Nuclear Research, National Academy of Sciences of Ukraine, Kyiv, Ukraine

Abstract: The simple analytical expressions for the potential and electrical field strength for the accelerating particle bunches with such configurations as: spherical bunches with parabolic density ions distributions and elliptical bunches with homogeneous and parabolic density ions distributions are obtained. The values of these parameters are calculated for the typical bunches of the accelerators. The calculated electrical field strengths for the bunches with parabolic density ions distributions are close to the real values.

1. Strehl P. The most important parameters of particle beams. Kerntechnik 56 (1991) 208. https://doi.org/10.1515/kern-1991-560406

2. Struckmeier J., Klabunde J., Reiser M. On the stability and emittance growth of different particle phase-space distributions in a long magnetic quadrupole channel. Particle Accelerators 13 (1984) 47.

3. Комаров И. В., Пономарев Л. И., Славянов С. Ю. Сфероидальные и кулоновские сфероидальные функции (Москва: Наука, 1978) c. 15.

4. Strehl P. Beam instrumentation and diagnostics. Joint Universities Accelerator School (Archamps, 1999) p. 161.

5. Брук Г. Циклические ускорители заряженных частиц (Москва: Атомиздат, 1970).