A. Krents, D. A. Anchikov, N. Molevich, A. V. Pahomov
{"title":"大孔径激光模型中的螺旋波","authors":"A. Krents, D. A. Anchikov, N. Molevich, A. V. Pahomov","doi":"10.1109/LO.2014.6886506","DOIUrl":null,"url":null,"abstract":"In this paper spontaneous formation of spiral waves in large aperture laser model has been reported. As a mathematical model the system of Maxwell-Bloch equations has been used. Linear stability and Floquet analyses were done. This analysis allows us to plot a bifurcation diagram and predict a characteristic size of exited spiral waves. Numerical simulations are in good according with theoretical analysis.","PeriodicalId":191027,"journal":{"name":"2014 International Conference Laser Optics","volume":"151 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Spiral waves in large aperture laser model\",\"authors\":\"A. Krents, D. A. Anchikov, N. Molevich, A. V. Pahomov\",\"doi\":\"10.1109/LO.2014.6886506\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper spontaneous formation of spiral waves in large aperture laser model has been reported. As a mathematical model the system of Maxwell-Bloch equations has been used. Linear stability and Floquet analyses were done. This analysis allows us to plot a bifurcation diagram and predict a characteristic size of exited spiral waves. Numerical simulations are in good according with theoretical analysis.\",\"PeriodicalId\":191027,\"journal\":{\"name\":\"2014 International Conference Laser Optics\",\"volume\":\"151 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-08-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2014 International Conference Laser Optics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/LO.2014.6886506\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 International Conference Laser Optics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/LO.2014.6886506","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper spontaneous formation of spiral waves in large aperture laser model has been reported. As a mathematical model the system of Maxwell-Bloch equations has been used. Linear stability and Floquet analyses were done. This analysis allows us to plot a bifurcation diagram and predict a characteristic size of exited spiral waves. Numerical simulations are in good according with theoretical analysis.