{"title":"拟多值编码法产生马修波束的非线性","authors":"Jiaying Wang, Zhipeng Wang, Binglin Zhang, Gaojian Wu, Chen Chen, Ronger Lu","doi":"10.1016/j.optcom.2025.132418","DOIUrl":null,"url":null,"abstract":"<div><div>Non-diffracting beams, including Airy, Bessel and Mathieu beams, demonstrate remarkable potential for advanced optical communications and dynamic wavefront engineering. However, their generation and field manipulation in nonlinear optical systems remain insufficiently explored. In this study, nonlinear Mathieu beams of various orders are generated theoretically and experimentally by computer generated holography. The second harmonic images are obtained for 0th-, 2nd-, 5th-, 10th- Mathieu beams via two different encoding methods: the binary encoding and quasi-multivalue-encoding method. Both simulations and experiments confirmed that the quasi-multivalue-encoding method achieves superior beam-shaping accuracy and significantly reduces diffraction artifacts compared to the binary encoding method.</div></div>","PeriodicalId":19586,"journal":{"name":"Optics Communications","volume":"596 ","pages":"Article 132418"},"PeriodicalIF":2.5000,"publicationDate":"2025-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Nonlinear generation of Mathieu beams by the quasi-multivalue-encoding method\",\"authors\":\"Jiaying Wang, Zhipeng Wang, Binglin Zhang, Gaojian Wu, Chen Chen, Ronger Lu\",\"doi\":\"10.1016/j.optcom.2025.132418\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Non-diffracting beams, including Airy, Bessel and Mathieu beams, demonstrate remarkable potential for advanced optical communications and dynamic wavefront engineering. However, their generation and field manipulation in nonlinear optical systems remain insufficiently explored. In this study, nonlinear Mathieu beams of various orders are generated theoretically and experimentally by computer generated holography. The second harmonic images are obtained for 0th-, 2nd-, 5th-, 10th- Mathieu beams via two different encoding methods: the binary encoding and quasi-multivalue-encoding method. Both simulations and experiments confirmed that the quasi-multivalue-encoding method achieves superior beam-shaping accuracy and significantly reduces diffraction artifacts compared to the binary encoding method.</div></div>\",\"PeriodicalId\":19586,\"journal\":{\"name\":\"Optics Communications\",\"volume\":\"596 \",\"pages\":\"Article 132418\"},\"PeriodicalIF\":2.5000,\"publicationDate\":\"2025-09-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Optics Communications\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0030401825009460\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"OPTICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Optics Communications","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0030401825009460","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"OPTICS","Score":null,"Total":0}
Nonlinear generation of Mathieu beams by the quasi-multivalue-encoding method
Non-diffracting beams, including Airy, Bessel and Mathieu beams, demonstrate remarkable potential for advanced optical communications and dynamic wavefront engineering. However, their generation and field manipulation in nonlinear optical systems remain insufficiently explored. In this study, nonlinear Mathieu beams of various orders are generated theoretically and experimentally by computer generated holography. The second harmonic images are obtained for 0th-, 2nd-, 5th-, 10th- Mathieu beams via two different encoding methods: the binary encoding and quasi-multivalue-encoding method. Both simulations and experiments confirmed that the quasi-multivalue-encoding method achieves superior beam-shaping accuracy and significantly reduces diffraction artifacts compared to the binary encoding method.
期刊介绍:
Optics Communications invites original and timely contributions containing new results in various fields of optics and photonics. The journal considers theoretical and experimental research in areas ranging from the fundamental properties of light to technological applications. Topics covered include classical and quantum optics, optical physics and light-matter interactions, lasers, imaging, guided-wave optics and optical information processing. Manuscripts should offer clear evidence of novelty and significance. Papers concentrating on mathematical and computational issues, with limited connection to optics, are not suitable for publication in the Journal. Similarly, small technical advances, or papers concerned only with engineering applications or issues of materials science fall outside the journal scope.