{"title":"平面圆盘辐射瞬态场在非线性介质中的传播","authors":"O. Dumin, R. Akhmedov, V. Katrich, O. Dumina","doi":"10.1109/UWBUSIS.2016.7724155","DOIUrl":null,"url":null,"abstract":"The evolutionary approach is applied to the problem of radiation of impulse transient electromagnetic field from plane disk with homogeneous distribution of given electrical current. The set of evolutionary equations on time and longitudinal coordinate was received from Maxwell equations. The analytical solution of linear problem of plane disk radiation is obtained by Riemann function method in time domain. It is shown the accounting of a weak nonlinearity of a medium by method of successive approximations.","PeriodicalId":423697,"journal":{"name":"2016 8th International Conference on Ultrawideband and Ultrashort Impulse Signals (UWBUSIS)","volume":"41 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Propagation of transient field radiated from plane disk in nonlinear medium\",\"authors\":\"O. Dumin, R. Akhmedov, V. Katrich, O. Dumina\",\"doi\":\"10.1109/UWBUSIS.2016.7724155\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The evolutionary approach is applied to the problem of radiation of impulse transient electromagnetic field from plane disk with homogeneous distribution of given electrical current. The set of evolutionary equations on time and longitudinal coordinate was received from Maxwell equations. The analytical solution of linear problem of plane disk radiation is obtained by Riemann function method in time domain. It is shown the accounting of a weak nonlinearity of a medium by method of successive approximations.\",\"PeriodicalId\":423697,\"journal\":{\"name\":\"2016 8th International Conference on Ultrawideband and Ultrashort Impulse Signals (UWBUSIS)\",\"volume\":\"41 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2016 8th International Conference on Ultrawideband and Ultrashort Impulse Signals (UWBUSIS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/UWBUSIS.2016.7724155\",\"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 8th International Conference on Ultrawideband and Ultrashort Impulse Signals (UWBUSIS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/UWBUSIS.2016.7724155","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Propagation of transient field radiated from plane disk in nonlinear medium
The evolutionary approach is applied to the problem of radiation of impulse transient electromagnetic field from plane disk with homogeneous distribution of given electrical current. The set of evolutionary equations on time and longitudinal coordinate was received from Maxwell equations. The analytical solution of linear problem of plane disk radiation is obtained by Riemann function method in time domain. It is shown the accounting of a weak nonlinearity of a medium by method of successive approximations.