{"title":"费米实验室Tevatron中非线性束流模式耦合的测量与仿真","authors":"S. Assadi, C. Mishra","doi":"10.1109/PAC.1997.751002","DOIUrl":null,"url":null,"abstract":"The Tevatron beam dynamics has been studied from the \"weak-strong\" representation of the beam-beam effects for various octupole field settings. A single particle is tracked using TEAPOT in the presence of the other beam. The nonlinearities introduced by the beam-beam forces introduces two unwanted effects: (1) it excites nonlinear resonances; (2) it introduces dispersion of the tunes with amplitude. The strength of nonlinear three mode coupling satisfying the sum rules v/sub 3/=v/sub 1//spl plusmn/v/sub 2/ for various octupole settings are calculated. The higher order spectral analysis results are presented.","PeriodicalId":122662,"journal":{"name":"Proceedings of the 1997 Particle Accelerator Conference (Cat. No.97CH36167)","volume":"76 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1997-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Measurement and simulation of nonlinear beam-beam mode coupling in the Fermilab Tevatron\",\"authors\":\"S. Assadi, C. Mishra\",\"doi\":\"10.1109/PAC.1997.751002\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The Tevatron beam dynamics has been studied from the \\\"weak-strong\\\" representation of the beam-beam effects for various octupole field settings. A single particle is tracked using TEAPOT in the presence of the other beam. The nonlinearities introduced by the beam-beam forces introduces two unwanted effects: (1) it excites nonlinear resonances; (2) it introduces dispersion of the tunes with amplitude. The strength of nonlinear three mode coupling satisfying the sum rules v/sub 3/=v/sub 1//spl plusmn/v/sub 2/ for various octupole settings are calculated. The higher order spectral analysis results are presented.\",\"PeriodicalId\":122662,\"journal\":{\"name\":\"Proceedings of the 1997 Particle Accelerator Conference (Cat. No.97CH36167)\",\"volume\":\"76 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1997-05-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 1997 Particle Accelerator Conference (Cat. No.97CH36167)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/PAC.1997.751002\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 1997 Particle Accelerator Conference (Cat. No.97CH36167)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/PAC.1997.751002","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Measurement and simulation of nonlinear beam-beam mode coupling in the Fermilab Tevatron
The Tevatron beam dynamics has been studied from the "weak-strong" representation of the beam-beam effects for various octupole field settings. A single particle is tracked using TEAPOT in the presence of the other beam. The nonlinearities introduced by the beam-beam forces introduces two unwanted effects: (1) it excites nonlinear resonances; (2) it introduces dispersion of the tunes with amplitude. The strength of nonlinear three mode coupling satisfying the sum rules v/sub 3/=v/sub 1//spl plusmn/v/sub 2/ for various octupole settings are calculated. The higher order spectral analysis results are presented.
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