{"title":"Stability of a partially compensated electron beam","authors":"B. Chirikov","doi":"10.1088/0368-3281/8/4/309","DOIUrl":null,"url":null,"abstract":"The author discusses the conditions for stability of a partially compensated electron beam in relation to deflection (“snaking”). It is shown that, with a continuous spectrum of perturbation wave vectors, there is always a region of strong instability (with relatively large increments). With a discrete spectrum (e.g., with a beam of finite length in an accelerator), instability occurs only at beam currents greater than a certain critical value. Landau damping and radiation friction do not eliminate the instability. A weak dissipative instability is discovered, caused by radiation friction. In some cases Landau damping stabilizes this instability, but can also increase it.The investigation is based on a model beam in the form of two pinches, electron and ion, with constant dimensions and uniform densities.","PeriodicalId":21864,"journal":{"name":"Soviet Atomic Energy","volume":"21 1","pages":"1149-1155"},"PeriodicalIF":0.0000,"publicationDate":"1965-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"14","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Soviet Atomic Energy","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/0368-3281/8/4/309","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 14
Abstract
The author discusses the conditions for stability of a partially compensated electron beam in relation to deflection (“snaking”). It is shown that, with a continuous spectrum of perturbation wave vectors, there is always a region of strong instability (with relatively large increments). With a discrete spectrum (e.g., with a beam of finite length in an accelerator), instability occurs only at beam currents greater than a certain critical value. Landau damping and radiation friction do not eliminate the instability. A weak dissipative instability is discovered, caused by radiation friction. In some cases Landau damping stabilizes this instability, but can also increase it.The investigation is based on a model beam in the form of two pinches, electron and ion, with constant dimensions and uniform densities.