{"title":"Space charge limited photoelectric emission in a plane parallel electrode geometry","authors":"C. Wheeler","doi":"10.1088/0305-4470/5/9/007","DOIUrl":null,"url":null,"abstract":"The problem of space charge limited photoelectric emission in a plane parallel electrode geometry is considered for an emitting electrode composed of material with a constant optical absorption coefficient and a classical step surface barrier. Poisson's equation is solved for the limit of zero cathode temperature and this solution shown to be applicable to the general case if the ratio of the collection current J to the saturation current Js satisfies ( pi 2/3)(kT/h( nu - nu 0))2<<J/Js<or=0.5 where T is the cathode temperature, h nu the incident quantum energy and h nu 0 the threshold energy. For a given anode voltage of either polarity it is shown that there are three characteristic anode currents-the current for onset of space charge limitation, the maximum limited current and the completely limited current. When the anode is positive all three currents are greater than the Langmuir-Child limit. For zero anode voltage the current flow is always space charge limited and also exhibits a maximum and complete limitation.","PeriodicalId":54612,"journal":{"name":"Physics-A Journal of General and Applied Physics","volume":"39 1","pages":"1337-1354"},"PeriodicalIF":0.0000,"publicationDate":"1972-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics-A Journal of General and Applied Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/0305-4470/5/9/007","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 8
Abstract
The problem of space charge limited photoelectric emission in a plane parallel electrode geometry is considered for an emitting electrode composed of material with a constant optical absorption coefficient and a classical step surface barrier. Poisson's equation is solved for the limit of zero cathode temperature and this solution shown to be applicable to the general case if the ratio of the collection current J to the saturation current Js satisfies ( pi 2/3)(kT/h( nu - nu 0))2<
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