{"title":"参数非线性波混频的哈密顿动力学","authors":"S. Trillo, S. Wabnitz","doi":"10.1364/nldos.1992.tub3","DOIUrl":null,"url":null,"abstract":"Exact solutions in terms of elliptic integrals to the problem of mixing between a wave and its second-harmonic in a medium with quadratic and/or cubic nonlinearity have been reported in the nonlinear optics literature since the early sixties [1-4]. These solutions involve rather cumbersome expressions which do not lead to an immediate insight into the physics of the conversion process.","PeriodicalId":441335,"journal":{"name":"Nonlinear Dynamics in Optical Systems","volume":"9 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Hamiltonian Dynamics of Parametric Nonlinear Wave Mixing\",\"authors\":\"S. Trillo, S. Wabnitz\",\"doi\":\"10.1364/nldos.1992.tub3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Exact solutions in terms of elliptic integrals to the problem of mixing between a wave and its second-harmonic in a medium with quadratic and/or cubic nonlinearity have been reported in the nonlinear optics literature since the early sixties [1-4]. These solutions involve rather cumbersome expressions which do not lead to an immediate insight into the physics of the conversion process.\",\"PeriodicalId\":441335,\"journal\":{\"name\":\"Nonlinear Dynamics in Optical Systems\",\"volume\":\"9 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nonlinear Dynamics in Optical Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1364/nldos.1992.tub3\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Dynamics in Optical Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1364/nldos.1992.tub3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Hamiltonian Dynamics of Parametric Nonlinear Wave Mixing
Exact solutions in terms of elliptic integrals to the problem of mixing between a wave and its second-harmonic in a medium with quadratic and/or cubic nonlinearity have been reported in the nonlinear optics literature since the early sixties [1-4]. These solutions involve rather cumbersome expressions which do not lead to an immediate insight into the physics of the conversion process.
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