Relations between Shot Noise, Gain Bandwidth, and Saturation of Instabilities
There are numerous instabilities present in charged particle beams that undergo exponential growth and reach saturation. In various applications, such as free-electron lasers or micro-bunching light sources, achieving saturation is desirable. Conversely, there are applications where these instabilit...
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2024-06-01
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| author | Yichao Jing Vladimir N. Litvinenko Jun Ma Gang Wang |
| author_facet | Yichao Jing Vladimir N. Litvinenko Jun Ma Gang Wang |
| author_sort | Yichao Jing |
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| description | There are numerous instabilities present in charged particle beams that undergo exponential growth and reach saturation. In various applications, such as free-electron lasers or micro-bunching light sources, achieving saturation is desirable. Conversely, there are applications where these instabilities are utilized as linear broad-band amplifiers for signals embedded in the charged beam. In the latter scenario, the saturation of an instability induces non-linear distortions in the imprinted signal, thereby limiting the useful range of such amplifiers. Accurate evaluation of these instabilities necessitates a complete and comprehensive modeling approach that includes shot noise within the beam. Unfortunately, such modeling is not always feasible or practical. In this paper, we introduce a methodology utilizing the frequency and bandwidth of the instability as key parameters. Through this, we derive an estimation for the range of linear instability growth. Our derivation is conducted in a model-independent manner, making it applicable to a broad spectrum of instabilities. To validate our approach, we employ established and thoroughly benchmarked simulations with a free electron laser (FEL) code as well as self-consistent 3-dimensional simulation of plasma-cascade instability using code SPACE. |
| format | Article |
| id | doaj-art-1bcedfffd20340f88cfcb42a78383d46 |
| institution | OA Journals |
| issn | 2624-8174 |
| language | English |
| publishDate | 2024-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Physics |
| spelling | doaj-art-1bcedfffd20340f88cfcb42a78383d462025-08-20T01:55:46ZengMDPI AGPhysics2624-81742024-06-016392194410.3390/physics6030057Relations between Shot Noise, Gain Bandwidth, and Saturation of InstabilitiesYichao Jing0Vladimir N. Litvinenko1Jun Ma2Gang Wang3Brookhaven National Laboratory, Upton, NY 11973, USABrookhaven National Laboratory, Upton, NY 11973, USABrookhaven National Laboratory, Upton, NY 11973, USABrookhaven National Laboratory, Upton, NY 11973, USAThere are numerous instabilities present in charged particle beams that undergo exponential growth and reach saturation. In various applications, such as free-electron lasers or micro-bunching light sources, achieving saturation is desirable. Conversely, there are applications where these instabilities are utilized as linear broad-band amplifiers for signals embedded in the charged beam. In the latter scenario, the saturation of an instability induces non-linear distortions in the imprinted signal, thereby limiting the useful range of such amplifiers. Accurate evaluation of these instabilities necessitates a complete and comprehensive modeling approach that includes shot noise within the beam. Unfortunately, such modeling is not always feasible or practical. In this paper, we introduce a methodology utilizing the frequency and bandwidth of the instability as key parameters. Through this, we derive an estimation for the range of linear instability growth. Our derivation is conducted in a model-independent manner, making it applicable to a broad spectrum of instabilities. To validate our approach, we employ established and thoroughly benchmarked simulations with a free electron laser (FEL) code as well as self-consistent 3-dimensional simulation of plasma-cascade instability using code SPACE.https://www.mdpi.com/2624-8174/6/3/57high brightnesshigh intensity beamscollective effects and instabilitiessaturation of beam instabilities |
| spellingShingle | Yichao Jing Vladimir N. Litvinenko Jun Ma Gang Wang Relations between Shot Noise, Gain Bandwidth, and Saturation of Instabilities Physics high brightness high intensity beams collective effects and instabilities saturation of beam instabilities |
| title | Relations between Shot Noise, Gain Bandwidth, and Saturation of Instabilities |
| title_full | Relations between Shot Noise, Gain Bandwidth, and Saturation of Instabilities |
| title_fullStr | Relations between Shot Noise, Gain Bandwidth, and Saturation of Instabilities |
| title_full_unstemmed | Relations between Shot Noise, Gain Bandwidth, and Saturation of Instabilities |
| title_short | Relations between Shot Noise, Gain Bandwidth, and Saturation of Instabilities |
| title_sort | relations between shot noise gain bandwidth and saturation of instabilities |
| topic | high brightness high intensity beams collective effects and instabilities saturation of beam instabilities |
| url | https://www.mdpi.com/2624-8174/6/3/57 |
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