{"title":"椭圆圆柱线圈磁场和储能的一般表达式","authors":"Q. Liu , D.G. Hughes , P.S. Allen","doi":"10.1006/jmrb.1996.0180","DOIUrl":null,"url":null,"abstract":"<div><p>General expressions involving Mathieu functions are derived for the magnetic field and stored energy associated with distributed currents, flowing, both azimuthally and axially, on the surface of an elliptic cylinder. These expressions can be used to design elliptical gradient coils of minimum inductance for MRI, as well as elliptical coils that will generate a uniform magnetic field or higher order shim fields.</p></div>","PeriodicalId":16130,"journal":{"name":"Journal of Magnetic Resonance, Series B","volume":"113 3","pages":"Pages 222-227"},"PeriodicalIF":0.0000,"publicationDate":"1996-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1006/jmrb.1996.0180","citationCount":"6","resultStr":"{\"title\":\"General Expressions for the Magnetic Field and Stored Energy of Elliptic Cylinder Coils\",\"authors\":\"Q. Liu , D.G. Hughes , P.S. Allen\",\"doi\":\"10.1006/jmrb.1996.0180\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>General expressions involving Mathieu functions are derived for the magnetic field and stored energy associated with distributed currents, flowing, both azimuthally and axially, on the surface of an elliptic cylinder. These expressions can be used to design elliptical gradient coils of minimum inductance for MRI, as well as elliptical coils that will generate a uniform magnetic field or higher order shim fields.</p></div>\",\"PeriodicalId\":16130,\"journal\":{\"name\":\"Journal of Magnetic Resonance, Series B\",\"volume\":\"113 3\",\"pages\":\"Pages 222-227\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1996-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1006/jmrb.1996.0180\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Magnetic Resonance, Series B\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1064186696901806\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Magnetic Resonance, Series B","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1064186696901806","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
General Expressions for the Magnetic Field and Stored Energy of Elliptic Cylinder Coils
General expressions involving Mathieu functions are derived for the magnetic field and stored energy associated with distributed currents, flowing, both azimuthally and axially, on the surface of an elliptic cylinder. These expressions can be used to design elliptical gradient coils of minimum inductance for MRI, as well as elliptical coils that will generate a uniform magnetic field or higher order shim fields.
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