{"title":"狭缝上的衍射问题:史瓦西级数的一些性质","authors":"A. Shanin","doi":"10.1109/DD.2000.902367","DOIUrl":null,"url":null,"abstract":"We study the diffraction series (Schwarzschild's series) to solve the problem of diffraction at a slit with ideal boundary conditions. Using this series we derive the representation obtained by Williams (1982) and the differential equations for the unknown functions.","PeriodicalId":184684,"journal":{"name":"International Seminar Day on Diffraction Millennium Workshop (IEEE Cat. No.00EX450)","volume":"66 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"To the problem of diffraction on a slit: some properties of Schwarzschild's series\",\"authors\":\"A. Shanin\",\"doi\":\"10.1109/DD.2000.902367\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the diffraction series (Schwarzschild's series) to solve the problem of diffraction at a slit with ideal boundary conditions. Using this series we derive the representation obtained by Williams (1982) and the differential equations for the unknown functions.\",\"PeriodicalId\":184684,\"journal\":{\"name\":\"International Seminar Day on Diffraction Millennium Workshop (IEEE Cat. No.00EX450)\",\"volume\":\"66 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Seminar Day on Diffraction Millennium Workshop (IEEE Cat. No.00EX450)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DD.2000.902367\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Seminar Day on Diffraction Millennium Workshop (IEEE Cat. No.00EX450)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DD.2000.902367","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
To the problem of diffraction on a slit: some properties of Schwarzschild's series
We study the diffraction series (Schwarzschild's series) to solve the problem of diffraction at a slit with ideal boundary conditions. Using this series we derive the representation obtained by Williams (1982) and the differential equations for the unknown functions.