{"title":"染料环激光器的停留时间和平均首次通过时间*","authors":"P. Lett, L. Mandel","doi":"10.1364/idlnos.1985.thc3","DOIUrl":null,"url":null,"abstract":"The dye ring laser, like other homogeneously broadened two-mode lasers, is predicted to have a steady state with two distinct regions of metastability.1-3 If we write for the probability density of the two-mode intensities I1, I2 where U(I1,I2) is the steady state potential, then U(I1,I2) has the form in dimensionless units where a1, a2 are pump parameters of the two laser modes, and ξ=2 is the mode coupling constant.4 A two-dimensional plot of the surface U(I1,I2) exhibits minima at I1=a1, I2=0, and I1=0, I2=a2 with a saddle point in between.5","PeriodicalId":262701,"journal":{"name":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","volume":"60 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Dwell Times and Average First Passage Times in the Dye Ring Laser*\",\"authors\":\"P. Lett, L. Mandel\",\"doi\":\"10.1364/idlnos.1985.thc3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The dye ring laser, like other homogeneously broadened two-mode lasers, is predicted to have a steady state with two distinct regions of metastability.1-3 If we write for the probability density of the two-mode intensities I1, I2 where U(I1,I2) is the steady state potential, then U(I1,I2) has the form in dimensionless units where a1, a2 are pump parameters of the two laser modes, and ξ=2 is the mode coupling constant.4 A two-dimensional plot of the surface U(I1,I2) exhibits minima at I1=a1, I2=0, and I1=0, I2=a2 with a saddle point in between.5\",\"PeriodicalId\":262701,\"journal\":{\"name\":\"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems\",\"volume\":\"60 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\":\"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1364/idlnos.1985.thc3\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1364/idlnos.1985.thc3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Dwell Times and Average First Passage Times in the Dye Ring Laser*
The dye ring laser, like other homogeneously broadened two-mode lasers, is predicted to have a steady state with two distinct regions of metastability.1-3 If we write for the probability density of the two-mode intensities I1, I2 where U(I1,I2) is the steady state potential, then U(I1,I2) has the form in dimensionless units where a1, a2 are pump parameters of the two laser modes, and ξ=2 is the mode coupling constant.4 A two-dimensional plot of the surface U(I1,I2) exhibits minima at I1=a1, I2=0, and I1=0, I2=a2 with a saddle point in between.5