{"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}
引用次数: 6
Abstract
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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