{"title":"静电八极透镜的数学建模","authors":"A. V. Starikova, E. Vinogradova","doi":"10.1109/VMNEYR.2016.7880416","DOIUrl":null,"url":null,"abstract":"In this paper the mathematical modeling of the electrostatic octupole lens is presented. The octupole lens consist of eight electrodes of the same shape. Each of these electrodes is a part of the circular cylinder of an infinite length. To solve the boundary-value problem for the Laplace equation the variable separation method is used in plane polar coordinates.","PeriodicalId":407958,"journal":{"name":"2016 Young Researchers in Vacuum Micro/Nano Electronics (VMNE-YR)","volume":"21 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The electrostatic octupole lens mathematical modeling\",\"authors\":\"A. V. Starikova, E. Vinogradova\",\"doi\":\"10.1109/VMNEYR.2016.7880416\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper the mathematical modeling of the electrostatic octupole lens is presented. The octupole lens consist of eight electrodes of the same shape. Each of these electrodes is a part of the circular cylinder of an infinite length. To solve the boundary-value problem for the Laplace equation the variable separation method is used in plane polar coordinates.\",\"PeriodicalId\":407958,\"journal\":{\"name\":\"2016 Young Researchers in Vacuum Micro/Nano Electronics (VMNE-YR)\",\"volume\":\"21 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2016 Young Researchers in Vacuum Micro/Nano Electronics (VMNE-YR)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/VMNEYR.2016.7880416\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 Young Researchers in Vacuum Micro/Nano Electronics (VMNE-YR)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/VMNEYR.2016.7880416","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The electrostatic octupole lens mathematical modeling
In this paper the mathematical modeling of the electrostatic octupole lens is presented. The octupole lens consist of eight electrodes of the same shape. Each of these electrodes is a part of the circular cylinder of an infinite length. To solve the boundary-value problem for the Laplace equation the variable separation method is used in plane polar coordinates.
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