Synchronization of Synchrotron Radiation Bursts during a spatio-temporal Instability in accelerator-Based source
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| Main Authors: | , , , , , , , , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866910014047780864 |
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| author | Evain, C. Diallo, A. -A. Roussel, E. Szwaj, C. Herda, M. Tordeux, M. -A. Ribeiro, F. Labat, M. Hubert, N. Brubach, J. -B. Roy, P. Bielawski, S. |
| author_facet | Evain, C. Diallo, A. -A. Roussel, E. Szwaj, C. Herda, M. Tordeux, M. -A. Ribeiro, F. Labat, M. Hubert, N. Brubach, J. -B. Roy, P. Bielawski, S. |
| contents | Synchronization is a fundamental phenomenon in dynamical systems, occurring in a wide range of contexts such as mechanical, chemical, biological, and social systems. In this work, we explore a novel manifestation of synchronization in accelerator-based light sources, specifically in storage rings where relativistic electron bunches circulate and emit synchrotron radiation, used for user experiments. In such systems, a systematic spatio-temporal instability arises when the bunch contains a large number of electrons. This instability is characterized by the spontaneous formation of microstructures within the bunch, which appear with a bursting behavior. We demonstrate that these bursting events can be synchronized with an external sinusoidal signal by modulating the electric field in a radiofrequency (RF) cavity. This external modulation induces typical synchronization features such as Arnold tongues at fundamental, harmonic, and subharmonic frequencies of the natural bursting rate, as well as phase-slip phenomena near the synchronization threshold. The synchronization mechanism is analyzed using numerical simulations based on the Vlasov-Fokker-Planck equation, and a proof-of-principle experiment is conducted at the SOLEIL synchrotron facility. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_06483 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Synchronization of Synchrotron Radiation Bursts during a spatio-temporal Instability in accelerator-Based source Evain, C. Diallo, A. -A. Roussel, E. Szwaj, C. Herda, M. Tordeux, M. -A. Ribeiro, F. Labat, M. Hubert, N. Brubach, J. -B. Roy, P. Bielawski, S. Adaptation and Self-Organizing Systems Accelerator Physics Synchronization is a fundamental phenomenon in dynamical systems, occurring in a wide range of contexts such as mechanical, chemical, biological, and social systems. In this work, we explore a novel manifestation of synchronization in accelerator-based light sources, specifically in storage rings where relativistic electron bunches circulate and emit synchrotron radiation, used for user experiments. In such systems, a systematic spatio-temporal instability arises when the bunch contains a large number of electrons. This instability is characterized by the spontaneous formation of microstructures within the bunch, which appear with a bursting behavior. We demonstrate that these bursting events can be synchronized with an external sinusoidal signal by modulating the electric field in a radiofrequency (RF) cavity. This external modulation induces typical synchronization features such as Arnold tongues at fundamental, harmonic, and subharmonic frequencies of the natural bursting rate, as well as phase-slip phenomena near the synchronization threshold. The synchronization mechanism is analyzed using numerical simulations based on the Vlasov-Fokker-Planck equation, and a proof-of-principle experiment is conducted at the SOLEIL synchrotron facility. |
| title | Synchronization of Synchrotron Radiation Bursts during a spatio-temporal Instability in accelerator-Based source |
| topic | Adaptation and Self-Organizing Systems Accelerator Physics |
| url | https://arxiv.org/abs/2602.06483 |