{"title":"A general solution for force-free magnetic fields in spherical coordinates","authors":"H. Zaghloul","doi":"10.1109/ISEMC.1992.626157","DOIUrl":null,"url":null,"abstract":"This paper shows that there is a solution for the vector Helmholtz equation in spherical coordinates that does not fit in the: general expression given by Hansen [l], Stratton [5] and Chandrasekhar and Kendall [2]. This paper finds a more general solution of the vector Helmholtz equation in spherical coordinates. This is applied to force-free magnetic fields in spherical coordinates.","PeriodicalId":93568,"journal":{"name":"IEEE International Symposium on Electromagnetic Compatibility : [proceedings]. IEEE International Symposium on Electromagnetic Compatibility","volume":"1 1","pages":"513-514"},"PeriodicalIF":0.0000,"publicationDate":"1992-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE International Symposium on Electromagnetic Compatibility : [proceedings]. IEEE International Symposium on Electromagnetic Compatibility","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISEMC.1992.626157","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract

This paper shows that there is a solution for the vector Helmholtz equation in spherical coordinates that does not fit in the: general expression given by Hansen [l], Stratton [5] and Chandrasekhar and Kendall [2]. This paper finds a more general solution of the vector Helmholtz equation in spherical coordinates. This is applied to force-free magnetic fields in spherical coordinates.
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球坐标系下无力磁场的通解
本文证明了矢量亥姆霍兹方程在球坐标下存在不符合Hansen[1]、Stratton[5]和Chandrasekhar and Kendall[2]给出的一般表达式的解。本文给出了矢量亥姆霍兹方程在球坐标下的一种更一般的解。这适用于球坐标下的无力磁场。
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