{"title":"用airy函数分析窃窃廊谐振器","authors":"N. Cinosi, J. Sarma, D. Mencarelli, F. Causa","doi":"10.1109/NUSOD.2003.1259053","DOIUrl":null,"url":null,"abstract":"In this paper, airy functions to represent Bessel functions of large index order are applied. The eigenvalue wave equation is then reduced to a polynomial equation. The complex roots of such a polynomial are the sought whispering gallery modes (WGM) resonant frequencies which in effect, provide the Q-factors and determine the WGM field profiles. Particular emphasis has been given to deriving the spectral and spatial distribution of WGMs, along the Q-factors of the resonators. These properties are essential to characterise circular semiconductor lasers, which use WGMs as modal emission.","PeriodicalId":206987,"journal":{"name":"IEEE/LEOS 3rd International Conference on Numerical Simulation of Semiconductor Optoelectronic Devices, 2003. Proceedings","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2003-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Analysis of whispering gallery mode resonators by using airy functions\",\"authors\":\"N. Cinosi, J. Sarma, D. Mencarelli, F. Causa\",\"doi\":\"10.1109/NUSOD.2003.1259053\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, airy functions to represent Bessel functions of large index order are applied. The eigenvalue wave equation is then reduced to a polynomial equation. The complex roots of such a polynomial are the sought whispering gallery modes (WGM) resonant frequencies which in effect, provide the Q-factors and determine the WGM field profiles. Particular emphasis has been given to deriving the spectral and spatial distribution of WGMs, along the Q-factors of the resonators. These properties are essential to characterise circular semiconductor lasers, which use WGMs as modal emission.\",\"PeriodicalId\":206987,\"journal\":{\"name\":\"IEEE/LEOS 3rd International Conference on Numerical Simulation of Semiconductor Optoelectronic Devices, 2003. Proceedings\",\"volume\":\"13 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2003-10-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE/LEOS 3rd International Conference on Numerical Simulation of Semiconductor Optoelectronic Devices, 2003. Proceedings\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/NUSOD.2003.1259053\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE/LEOS 3rd International Conference on Numerical Simulation of Semiconductor Optoelectronic Devices, 2003. Proceedings","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/NUSOD.2003.1259053","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Analysis of whispering gallery mode resonators by using airy functions
In this paper, airy functions to represent Bessel functions of large index order are applied. The eigenvalue wave equation is then reduced to a polynomial equation. The complex roots of such a polynomial are the sought whispering gallery modes (WGM) resonant frequencies which in effect, provide the Q-factors and determine the WGM field profiles. Particular emphasis has been given to deriving the spectral and spatial distribution of WGMs, along the Q-factors of the resonators. These properties are essential to characterise circular semiconductor lasers, which use WGMs as modal emission.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
