{"title":"平面圆盘在非线性介质中的瞬态场辐射","authors":"O. Dumin, R. Akhmedov, O. Dumina","doi":"10.1109/UKRMICO.2016.7739606","DOIUrl":null,"url":null,"abstract":"The problem of radiation of impulse transient electromagnetic field from plane disk source into unbounded nonlinear medium is considered by evolutionary approach. The initial Maxwell equations are converted to set of evolutionary equations on time and longitudinal coordinate. The plane disk radiation problem is set for inhomogeneous evolutionary equations. The analytical solution is obtained by Riemann function method in time domain. it is proposed to account a weak nonlinearity of a medium by method of successive approximations.","PeriodicalId":257266,"journal":{"name":"2016 International Conference Radio Electronics & Info Communications (UkrMiCo)","volume":"492 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Transient field radiation of plane disk into nonlinear medium\",\"authors\":\"O. Dumin, R. Akhmedov, O. Dumina\",\"doi\":\"10.1109/UKRMICO.2016.7739606\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The problem of radiation of impulse transient electromagnetic field from plane disk source into unbounded nonlinear medium is considered by evolutionary approach. The initial Maxwell equations are converted to set of evolutionary equations on time and longitudinal coordinate. The plane disk radiation problem is set for inhomogeneous evolutionary equations. The analytical solution is obtained by Riemann function method in time domain. it is proposed to account a weak nonlinearity of a medium by method of successive approximations.\",\"PeriodicalId\":257266,\"journal\":{\"name\":\"2016 International Conference Radio Electronics & Info Communications (UkrMiCo)\",\"volume\":\"492 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2016 International Conference Radio Electronics & Info Communications (UkrMiCo)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/UKRMICO.2016.7739606\",\"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 International Conference Radio Electronics & Info Communications (UkrMiCo)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/UKRMICO.2016.7739606","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Transient field radiation of plane disk into nonlinear medium
The problem of radiation of impulse transient electromagnetic field from plane disk source into unbounded nonlinear medium is considered by evolutionary approach. The initial Maxwell equations are converted to set of evolutionary equations on time and longitudinal coordinate. The plane disk radiation problem is set for inhomogeneous evolutionary equations. The analytical solution is obtained by Riemann function method in time domain. it is proposed to account a weak nonlinearity of a medium by method of successive approximations.