{"title":"两艾里光束在近场中倏逝模式的干涉","authors":"Ze Wang, Zhengling Wang","doi":"10.1007/s10043-025-00995-8","DOIUrl":null,"url":null,"abstract":"<div><p>The exact analytical solution of the electric field of the Airy beam with a polarization in the <i>x</i>-direction is derived by the vector angular spectrum theory. And then, the evanescent interference of two symmetrically offset evanescent Airy beams is investigated by the angular spectrum theory in detail. Two separated Airy beams at the initial position will overlap and interfere due to the lateral self-acceleration. The <i>y</i>-axis interference field shows a superior stability and a slower decay compared to the <i>x</i>-axis. The interference optical field forms a spindle-shaped central optical field along the <i>y</i>-axis, and the intensity rapidly decays along the <i>x</i>-axis, and a small-scale scattered optical field is formed in the low-intensity regions on both sides. The result is useful to elucidating the formation mechanism and theoretical properties of the interference phenomenon of Airy beams.</p></div>","PeriodicalId":722,"journal":{"name":"Optical Review","volume":"32 4","pages":"631 - 637"},"PeriodicalIF":0.9000,"publicationDate":"2025-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The interference of the evanescent mode of two Airy beams in near field\",\"authors\":\"Ze Wang, Zhengling Wang\",\"doi\":\"10.1007/s10043-025-00995-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The exact analytical solution of the electric field of the Airy beam with a polarization in the <i>x</i>-direction is derived by the vector angular spectrum theory. And then, the evanescent interference of two symmetrically offset evanescent Airy beams is investigated by the angular spectrum theory in detail. Two separated Airy beams at the initial position will overlap and interfere due to the lateral self-acceleration. The <i>y</i>-axis interference field shows a superior stability and a slower decay compared to the <i>x</i>-axis. The interference optical field forms a spindle-shaped central optical field along the <i>y</i>-axis, and the intensity rapidly decays along the <i>x</i>-axis, and a small-scale scattered optical field is formed in the low-intensity regions on both sides. The result is useful to elucidating the formation mechanism and theoretical properties of the interference phenomenon of Airy beams.</p></div>\",\"PeriodicalId\":722,\"journal\":{\"name\":\"Optical Review\",\"volume\":\"32 4\",\"pages\":\"631 - 637\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2025-08-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Optical Review\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10043-025-00995-8\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"OPTICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Optical Review","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10043-025-00995-8","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"OPTICS","Score":null,"Total":0}
The interference of the evanescent mode of two Airy beams in near field
The exact analytical solution of the electric field of the Airy beam with a polarization in the x-direction is derived by the vector angular spectrum theory. And then, the evanescent interference of two symmetrically offset evanescent Airy beams is investigated by the angular spectrum theory in detail. Two separated Airy beams at the initial position will overlap and interfere due to the lateral self-acceleration. The y-axis interference field shows a superior stability and a slower decay compared to the x-axis. The interference optical field forms a spindle-shaped central optical field along the y-axis, and the intensity rapidly decays along the x-axis, and a small-scale scattered optical field is formed in the low-intensity regions on both sides. The result is useful to elucidating the formation mechanism and theoretical properties of the interference phenomenon of Airy beams.
期刊介绍：
Optical Review is an international journal published by the Optical Society of Japan. The scope of the journal is:
General and physical optics;
Quantum optics and spectroscopy;
Information optics;
Photonics and optoelectronics;
Biomedical photonics and biological optics;
Lasers;
Nonlinear optics;
Optical systems and technologies;
Optical materials and manufacturing technologies;
Vision;
Infrared and short wavelength optics;
Cross-disciplinary areas such as environmental, energy, food, agriculture and space technologies;
Other optical methods and applications.
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