{"title":"精确解析亥姆霍兹亮孤子和暗孤子","authors":"P. Chamorro-Posada, G. S. McDonald","doi":"10.1117/12.583404","DOIUrl":null,"url":null,"abstract":"In this paper, we have presented exact analytical Helmholtz bright and dark soliton solutions for a Kerr nonlinearity. Simulations verify that these solutions are both robust and act as attractors in nonlinear beam dynamics. Results dealing with the coherent interaction of Helmholtz bright solitons have also been presented, for the first time. These considerations extend previous(paraxial) studies that are only valid for vanishingly small interaction angles.","PeriodicalId":368970,"journal":{"name":"5th International Workshop on Laser and Fiber-Optical Networks Modeling, 2003. Proceedings of LFNM 2003.","volume":"68 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2003-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Exact analytical Helmholtz bright and dark solitons\",\"authors\":\"P. Chamorro-Posada, G. S. McDonald\",\"doi\":\"10.1117/12.583404\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we have presented exact analytical Helmholtz bright and dark soliton solutions for a Kerr nonlinearity. Simulations verify that these solutions are both robust and act as attractors in nonlinear beam dynamics. Results dealing with the coherent interaction of Helmholtz bright solitons have also been presented, for the first time. These considerations extend previous(paraxial) studies that are only valid for vanishingly small interaction angles.\",\"PeriodicalId\":368970,\"journal\":{\"name\":\"5th International Workshop on Laser and Fiber-Optical Networks Modeling, 2003. Proceedings of LFNM 2003.\",\"volume\":\"68 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2003-11-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"5th International Workshop on Laser and Fiber-Optical Networks Modeling, 2003. Proceedings of LFNM 2003.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1117/12.583404\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"5th International Workshop on Laser and Fiber-Optical Networks Modeling, 2003. Proceedings of LFNM 2003.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1117/12.583404","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Exact analytical Helmholtz bright and dark solitons
In this paper, we have presented exact analytical Helmholtz bright and dark soliton solutions for a Kerr nonlinearity. Simulations verify that these solutions are both robust and act as attractors in nonlinear beam dynamics. Results dealing with the coherent interaction of Helmholtz bright solitons have also been presented, for the first time. These considerations extend previous(paraxial) studies that are only valid for vanishingly small interaction angles.