{"title":"用薄发射极对场发射系统进行了数学建模","authors":"Ella V. Kalaturskaja, E. Vinogradova","doi":"10.1109/VMNEYR.2016.7880405","DOIUrl":null,"url":null,"abstract":"This paper is devoted to the mathematical modeling of the field emission diode system. The diode system is consists of the infinitely thin field emitter as a cathode and a plane anode. The emitter substrate is a plane. The interior of system domain is filled with two different dielectrics. The electrostatic potential distribution is found by the method of separation of variables for the Laplace’s equation in cylindrical coordinates as the Fourier- Bessel series.","PeriodicalId":407958,"journal":{"name":"2016 Young Researchers in Vacuum Micro/Nano Electronics (VMNE-YR)","volume":"40 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The field emission system with the thin emitter mathematical modeling\",\"authors\":\"Ella V. Kalaturskaja, E. Vinogradova\",\"doi\":\"10.1109/VMNEYR.2016.7880405\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper is devoted to the mathematical modeling of the field emission diode system. The diode system is consists of the infinitely thin field emitter as a cathode and a plane anode. The emitter substrate is a plane. The interior of system domain is filled with two different dielectrics. The electrostatic potential distribution is found by the method of separation of variables for the Laplace’s equation in cylindrical coordinates as the Fourier- Bessel series.\",\"PeriodicalId\":407958,\"journal\":{\"name\":\"2016 Young Researchers in Vacuum Micro/Nano Electronics (VMNE-YR)\",\"volume\":\"40 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.2016.7880405\",\"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.2016.7880405","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The field emission system with the thin emitter mathematical modeling
This paper is devoted to the mathematical modeling of the field emission diode system. The diode system is consists of the infinitely thin field emitter as a cathode and a plane anode. The emitter substrate is a plane. The interior of system domain is filled with two different dielectrics. The electrostatic potential distribution is found by the method of separation of variables for the Laplace’s equation in cylindrical coordinates as the Fourier- Bessel series.
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