{"title":"储能环中相对论电子同步辐射能谱的大数概率理论和形成规律","authors":"О.S. Mazmanishvili","doi":"10.46813/2023-148-177","DOIUrl":null,"url":null,"abstract":"The fluctuations of synchrotron radiation (SR) energy losses during the motion of relativistic electrons in the uniform magnetic field in a storage ring are considered. The influence on the formation of the energy spectrum of the SR photon flux of the duration of registration of SR relativistic electrons is analyzed. It has been established that\nwith the increase in the duration of temporal registration, the energy spectrum of the SR photon flux is regularly transformed into the asymptotically normal density in accordance with the law of large numbers of probability theory. It is determined that the main mechanism in the formation of the energy spectrum is successive convolutions of\nthe current spectra.","PeriodicalId":54580,"journal":{"name":"Problems of Atomic Science and Technology","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2023-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"LAW OF LARGE NUMBERS OF PROBABILITY THEORY AND FORMATION OF THE ENERGY SPECTRUM OF SYNCHROTRON RADIATION OF RELATIVISTIC ELECTRON IN THE STORAGE RING\",\"authors\":\"О.S. Mazmanishvili\",\"doi\":\"10.46813/2023-148-177\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The fluctuations of synchrotron radiation (SR) energy losses during the motion of relativistic electrons in the uniform magnetic field in a storage ring are considered. The influence on the formation of the energy spectrum of the SR photon flux of the duration of registration of SR relativistic electrons is analyzed. It has been established that\\nwith the increase in the duration of temporal registration, the energy spectrum of the SR photon flux is regularly transformed into the asymptotically normal density in accordance with the law of large numbers of probability theory. It is determined that the main mechanism in the formation of the energy spectrum is successive convolutions of\\nthe current spectra.\",\"PeriodicalId\":54580,\"journal\":{\"name\":\"Problems of Atomic Science and Technology\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2023-12-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Problems of Atomic Science and Technology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46813/2023-148-177\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"PHYSICS, NUCLEAR\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Problems of Atomic Science and Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46813/2023-148-177","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, NUCLEAR","Score":null,"Total":0}
引用次数: 0
摘要
研究了相对电子在贮存环中的匀强磁场中运动时同步辐射（SR）能量损失的波动情况。分析了 SR 相对电子登记持续时间对 SR 光子通量能谱形成的影响。结果表明，随着时间登记持续时间的增加，SR 光子通量的能谱会根据概率论的大数定律有规律地转变为渐近正态密度。可以确定，能谱形成的主要机制是电流谱的连续卷积。
LAW OF LARGE NUMBERS OF PROBABILITY THEORY AND FORMATION OF THE ENERGY SPECTRUM OF SYNCHROTRON RADIATION OF RELATIVISTIC ELECTRON IN THE STORAGE RING
The fluctuations of synchrotron radiation (SR) energy losses during the motion of relativistic electrons in the uniform magnetic field in a storage ring are considered. The influence on the formation of the energy spectrum of the SR photon flux of the duration of registration of SR relativistic electrons is analyzed. It has been established that
with the increase in the duration of temporal registration, the energy spectrum of the SR photon flux is regularly transformed into the asymptotically normal density in accordance with the law of large numbers of probability theory. It is determined that the main mechanism in the formation of the energy spectrum is successive convolutions of
the current spectra.
期刊介绍：
The journal covers the following topics:
Physics of Radiation Effects and Radiation Materials Science;
Nuclear Physics Investigations;
Plasma Physics;
Vacuum, Pure Materials and Superconductors;
Plasma Electronics and New Methods of Acceleration.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
