Theoretical studies of envelope oscillations and instabilities of mismatched intense charged-particle beams in periodic focusing channels
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866917572318855168 |
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| author | Struckmeier, Jürgen Reiser, Martin |
| author_facet | Struckmeier, Jürgen Reiser, Martin |
| contents | The behavior of mismatched intense charged-particle beams in periodic transport channels of the solenoid and quadrupole type is studied theoretically. The envelope-oscillation frequencies of the mismatched beam are obtained by the smooth-approximation method and by numerical evaluation of the linearly perturbed K-V envelope equations. Phase shifts of the envelope oscillations and growth rates in the case of instability are calculated for a solenoid and a magnetic quadrupole (FODO) channel using the parameters of the Maryland and GSI beam transport experiments. For comparison and the purpose of illustration, the K-V equations are integrated numerically, and envelope curves as well as single-particle trajectories for for mismatched beams are shown in graphical form. In addition, computer simulation studies with the PARMILA code were performed, and results are presented both for K-V and a Gaussian distribution in transverse phase space. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2401_12171 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Theoretical studies of envelope oscillations and instabilities of mismatched intense charged-particle beams in periodic focusing channels Struckmeier, Jürgen Reiser, Martin Accelerator Physics The behavior of mismatched intense charged-particle beams in periodic transport channels of the solenoid and quadrupole type is studied theoretically. The envelope-oscillation frequencies of the mismatched beam are obtained by the smooth-approximation method and by numerical evaluation of the linearly perturbed K-V envelope equations. Phase shifts of the envelope oscillations and growth rates in the case of instability are calculated for a solenoid and a magnetic quadrupole (FODO) channel using the parameters of the Maryland and GSI beam transport experiments. For comparison and the purpose of illustration, the K-V equations are integrated numerically, and envelope curves as well as single-particle trajectories for for mismatched beams are shown in graphical form. In addition, computer simulation studies with the PARMILA code were performed, and results are presented both for K-V and a Gaussian distribution in transverse phase space. |
| title | Theoretical studies of envelope oscillations and instabilities of mismatched intense charged-particle beams in periodic focusing channels |
| topic | Accelerator Physics |
| url | https://arxiv.org/abs/2401.12171 |