{"title":"Start up and saturation in monotrons","authors":"J. Barroso","doi":"10.1109/PPPS.2007.4345977","DOIUrl":null,"url":null,"abstract":"An excitation model for TM-mode cylindrical cavities driven by a modulated electron beam with application in transit-time microwave tubes is developed. It is shown that the slowly time varying amplitude of the self-sustained oscillations is described by a reduced form of the classical van der Pol equation, from which expressions for the starting current and saturation amplitude are readily derived.","PeriodicalId":275106,"journal":{"name":"2007 16th IEEE International Pulsed Power Conference","volume":"2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2007 16th IEEE International Pulsed Power Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/PPPS.2007.4345977","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
An excitation model for TM-mode cylindrical cavities driven by a modulated electron beam with application in transit-time microwave tubes is developed. It is shown that the slowly time varying amplitude of the self-sustained oscillations is described by a reduced form of the classical van der Pol equation, from which expressions for the starting current and saturation amplitude are readily derived.