{"title":"任意形状场发射极的数学建模","authors":"G. Doronin, E. Vinogradova","doi":"10.1109/VMNEYR.2016.7880402","DOIUrl":null,"url":null,"abstract":"This article is devoted to the field emitter of the arbitrary shape mathematical modeling. The axially symmetrical diode system with a field cathode on a plane substrate and a plane anode is under investigation. The effect of the field emitter is simulated using the charged circular lines to solve the boundaryvalue problem so that the zero electrostatic equipotential coincided with the cathode surface. The potentialal distribution as the Fourier-Bessel series is found an analytical form in the cylindrical coordinates.","PeriodicalId":407958,"journal":{"name":"2016 Young Researchers in Vacuum Micro/Nano Electronics (VMNE-YR)","volume":"9 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The arbitrarily shaped field emitter mathematical modeling\",\"authors\":\"G. Doronin, E. Vinogradova\",\"doi\":\"10.1109/VMNEYR.2016.7880402\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This article is devoted to the field emitter of the arbitrary shape mathematical modeling. The axially symmetrical diode system with a field cathode on a plane substrate and a plane anode is under investigation. The effect of the field emitter is simulated using the charged circular lines to solve the boundaryvalue problem so that the zero electrostatic equipotential coincided with the cathode surface. The potentialal distribution as the Fourier-Bessel series is found an analytical form in the cylindrical coordinates.\",\"PeriodicalId\":407958,\"journal\":{\"name\":\"2016 Young Researchers in Vacuum Micro/Nano Electronics (VMNE-YR)\",\"volume\":\"9 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.2016.7880402\",\"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.2016.7880402","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The arbitrarily shaped field emitter mathematical modeling
This article is devoted to the field emitter of the arbitrary shape mathematical modeling. The axially symmetrical diode system with a field cathode on a plane substrate and a plane anode is under investigation. The effect of the field emitter is simulated using the charged circular lines to solve the boundaryvalue problem so that the zero electrostatic equipotential coincided with the cathode surface. The potentialal distribution as the Fourier-Bessel series is found an analytical form in the cylindrical coordinates.
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