{"title":"时空复变Airy-Laguerre-Gaussian波包的传播特性","authors":"Xiaping Zhang","doi":"10.1117/12.2653682","DOIUrl":null,"url":null,"abstract":"The space-time complex variables Airy-Laguerre-Gaussian wave packets are the Laguerre-Gaussian wave packets, which is their intensity distribution at the cross section showing as the complex variables Laguerre-Gaussian functions in the space domain, are modulated by the Airy pulses in the time domain. The method of separating variables is a mathematical method to obtain this solution. According to solving the (1+3)D Pxi-axis equations, the analytical solution of the space-time complex variables Airy-Laguerre-Gaussian wave packets in free space has been accessed. When the initial incident power of the space-time complex variables Airy-Laguerre-Gaussian wave packets is not equal to the critical power, the wave packets’ width will fluctuate periodically. Poynting vector reveals the essence of this phenomenon.","PeriodicalId":253792,"journal":{"name":"Conference on Optics and Communication Technology","volume":"12 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-11-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Propagation characteristics of the space-time complex variables Airy-Laguerre-Gaussian wave packets\",\"authors\":\"Xiaping Zhang\",\"doi\":\"10.1117/12.2653682\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The space-time complex variables Airy-Laguerre-Gaussian wave packets are the Laguerre-Gaussian wave packets, which is their intensity distribution at the cross section showing as the complex variables Laguerre-Gaussian functions in the space domain, are modulated by the Airy pulses in the time domain. The method of separating variables is a mathematical method to obtain this solution. According to solving the (1+3)D Pxi-axis equations, the analytical solution of the space-time complex variables Airy-Laguerre-Gaussian wave packets in free space has been accessed. When the initial incident power of the space-time complex variables Airy-Laguerre-Gaussian wave packets is not equal to the critical power, the wave packets’ width will fluctuate periodically. Poynting vector reveals the essence of this phenomenon.\",\"PeriodicalId\":253792,\"journal\":{\"name\":\"Conference on Optics and Communication Technology\",\"volume\":\"12 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-11-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Conference on Optics and Communication Technology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1117/12.2653682\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Conference on Optics and Communication Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1117/12.2653682","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Propagation characteristics of the space-time complex variables Airy-Laguerre-Gaussian wave packets
The space-time complex variables Airy-Laguerre-Gaussian wave packets are the Laguerre-Gaussian wave packets, which is their intensity distribution at the cross section showing as the complex variables Laguerre-Gaussian functions in the space domain, are modulated by the Airy pulses in the time domain. The method of separating variables is a mathematical method to obtain this solution. According to solving the (1+3)D Pxi-axis equations, the analytical solution of the space-time complex variables Airy-Laguerre-Gaussian wave packets in free space has been accessed. When the initial incident power of the space-time complex variables Airy-Laguerre-Gaussian wave packets is not equal to the critical power, the wave packets’ width will fluctuate periodically. Poynting vector reveals the essence of this phenomenon.
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