3D theory of microscopic instabilities driven by space-charge forces
Microscopic, or short-wavelength, instabilities are known for a drastic reduction of the beam quality and strong amplification of the noise in a beam. Space charge and coherent synchrotron radiation are known to be the leading causes of such instabilities. In this paper, we present a rigorous 3D the...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2023-05-01
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| Series: | Physical Review Accelerators and Beams |
| Online Access: | http://doi.org/10.1103/PhysRevAccelBeams.26.054402 |
| _version_ | 1797816562828181504 |
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| author | Vladimir N. Litvinenko Yichao Jing Jun Ma Irina Petrushina Kai Shih Gang Wang |
| author_facet | Vladimir N. Litvinenko Yichao Jing Jun Ma Irina Petrushina Kai Shih Gang Wang |
| author_sort | Vladimir N. Litvinenko |
| collection | DOAJ |
| description | Microscopic, or short-wavelength, instabilities are known for a drastic reduction of the beam quality and strong amplification of the noise in a beam. Space charge and coherent synchrotron radiation are known to be the leading causes of such instabilities. In this paper, we present a rigorous 3D theory of such instabilities driven by the space-charge forces. We define the condition when our theory is applicable to an arbitrary accelerator system with 3D coupling. Finally, we derive a linear integral equation describing such instability and identify conditions when it can be reduced to an ordinary second-order differential equation. |
| first_indexed | 2024-03-13T08:39:33Z |
| format | Article |
| id | doaj.art-ecfc81cb3eb44ee489718991691ae516 |
| institution | Directory Open Access Journal |
| issn | 2469-9888 |
| language | English |
| last_indexed | 2024-03-13T08:39:33Z |
| publishDate | 2023-05-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Accelerators and Beams |
| spelling | doaj.art-ecfc81cb3eb44ee489718991691ae5162023-05-30T16:15:07ZengAmerican Physical SocietyPhysical Review Accelerators and Beams2469-98882023-05-0126505440210.1103/PhysRevAccelBeams.26.0544023D theory of microscopic instabilities driven by space-charge forcesVladimir N. LitvinenkoYichao JingJun MaIrina PetrushinaKai ShihGang WangMicroscopic, or short-wavelength, instabilities are known for a drastic reduction of the beam quality and strong amplification of the noise in a beam. Space charge and coherent synchrotron radiation are known to be the leading causes of such instabilities. In this paper, we present a rigorous 3D theory of such instabilities driven by the space-charge forces. We define the condition when our theory is applicable to an arbitrary accelerator system with 3D coupling. Finally, we derive a linear integral equation describing such instability and identify conditions when it can be reduced to an ordinary second-order differential equation.http://doi.org/10.1103/PhysRevAccelBeams.26.054402 |
| spellingShingle | Vladimir N. Litvinenko Yichao Jing Jun Ma Irina Petrushina Kai Shih Gang Wang 3D theory of microscopic instabilities driven by space-charge forces Physical Review Accelerators and Beams |
| title | 3D theory of microscopic instabilities driven by space-charge forces |
| title_full | 3D theory of microscopic instabilities driven by space-charge forces |
| title_fullStr | 3D theory of microscopic instabilities driven by space-charge forces |
| title_full_unstemmed | 3D theory of microscopic instabilities driven by space-charge forces |
| title_short | 3D theory of microscopic instabilities driven by space-charge forces |
| title_sort | 3d theory of microscopic instabilities driven by space charge forces |
| url | http://doi.org/10.1103/PhysRevAccelBeams.26.054402 |
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