{"title":"复变量airy -高斯波包在自由空间中的传播特性","authors":"Xiaping Zhang","doi":"10.1117/12.2653692","DOIUrl":null,"url":null,"abstract":"The Airy-Gaussian wave packets are the Airy wave packets modulated by the Gaussian wave packets. Basing on the separating variable method, the analytical solution has been accessed according to solving the paraxial beam equation in cylindric coordinates in free space. The Airy-Gaussian wave packets with complex variables are combing the Airy function with the complex variables and the Gaussian beams. The propagation characteristics of the complex variables Airy-Gaussian wave packets are studied. The complex variables Airy-Gaussian wave packets will rotate with the increase of propagating distance. Poynting vector reveals the essence of this phenomenon.","PeriodicalId":253792,"journal":{"name":"Conference on Optics and Communication Technology","volume":"107 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 complex variables Airy-Gaussian wave packets within free space\",\"authors\":\"Xiaping Zhang\",\"doi\":\"10.1117/12.2653692\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The Airy-Gaussian wave packets are the Airy wave packets modulated by the Gaussian wave packets. Basing on the separating variable method, the analytical solution has been accessed according to solving the paraxial beam equation in cylindric coordinates in free space. The Airy-Gaussian wave packets with complex variables are combing the Airy function with the complex variables and the Gaussian beams. The propagation characteristics of the complex variables Airy-Gaussian wave packets are studied. The complex variables Airy-Gaussian wave packets will rotate with the increase of propagating distance. Poynting vector reveals the essence of this phenomenon.\",\"PeriodicalId\":253792,\"journal\":{\"name\":\"Conference on Optics and Communication Technology\",\"volume\":\"107 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/10.1117/12.2653692\",\"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/10.1117/12.2653692","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Propagation characteristics of complex variables Airy-Gaussian wave packets within free space
The Airy-Gaussian wave packets are the Airy wave packets modulated by the Gaussian wave packets. Basing on the separating variable method, the analytical solution has been accessed according to solving the paraxial beam equation in cylindric coordinates in free space. The Airy-Gaussian wave packets with complex variables are combing the Airy function with the complex variables and the Gaussian beams. The propagation characteristics of the complex variables Airy-Gaussian wave packets are studied. The complex variables Airy-Gaussian wave packets will rotate with the increase of propagating distance. Poynting vector reveals the essence of this phenomenon.