{"title":"阶跃折射率光纤te0和TM0m模的近截止点特征值方程的近似解:新形式和考虑","authors":"C. Schiopu, P. Schiopu","doi":"10.1117/12.312686","DOIUrl":null,"url":null,"abstract":"In this work the authors intend to present a new approximate technique of solving the characteristic (eigenvalue) equation for a step index fiber optic near cut-off. To illustrate this new method, there are presented (and demonstrated) two particular forms, corresponding to the case v equals 0 (TE0m and TM0m modes). Solutions of these equations are compared with other solutions suggested by Marcuse and--also--it is analyzed the accuracy of our results compared with the general solution of the characteristic equation.","PeriodicalId":383583,"journal":{"name":"ROMOPTO International Conference on Micro- to Nano- Photonics III","volume":"17 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1998-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Approximate solutions of the eigenvalue equation near cutoff for TE0mand TM0m modes for a step index fiber optic: new forms and considerations\",\"authors\":\"C. Schiopu, P. Schiopu\",\"doi\":\"10.1117/12.312686\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work the authors intend to present a new approximate technique of solving the characteristic (eigenvalue) equation for a step index fiber optic near cut-off. To illustrate this new method, there are presented (and demonstrated) two particular forms, corresponding to the case v equals 0 (TE0m and TM0m modes). Solutions of these equations are compared with other solutions suggested by Marcuse and--also--it is analyzed the accuracy of our results compared with the general solution of the characteristic equation.\",\"PeriodicalId\":383583,\"journal\":{\"name\":\"ROMOPTO International Conference on Micro- to Nano- Photonics III\",\"volume\":\"17 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1998-07-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ROMOPTO International Conference on Micro- to Nano- Photonics III\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1117/12.312686\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ROMOPTO International Conference on Micro- to Nano- Photonics III","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1117/12.312686","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Approximate solutions of the eigenvalue equation near cutoff for TE0mand TM0m modes for a step index fiber optic: new forms and considerations
In this work the authors intend to present a new approximate technique of solving the characteristic (eigenvalue) equation for a step index fiber optic near cut-off. To illustrate this new method, there are presented (and demonstrated) two particular forms, corresponding to the case v equals 0 (TE0m and TM0m modes). Solutions of these equations are compared with other solutions suggested by Marcuse and--also--it is analyzed the accuracy of our results compared with the general solution of the characteristic equation.
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