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The generation and transformation of twisted light, which lie with coupling topological charges into target light\u2019s wavefunctions, are usually performed by phase-only OAM manipulations. The practical twisted lights, however, obtained by this method are actually noneigen modes of free space, leading to an evolution through the diffractive propagation. Here, we present a general theoretical frame for accurately describing this evolution. Based on the theory, the whole diffractive propagation history in a typical OAM-manipulation loop, converting Gaussian light into a twisted one and then reconverting back, is demonstrated via a set of exact analytical solutions. These results provide a powerful tool for analyzing the transverse profiles of twisted light through the diffractive evolution, as a guideline for studying the science of structured light, which would provide guidelines for research studies in nonlinear optics and high-dimensional quantum information technology based on OAM-degree of freedom.<\/jats:p>","DOI":"10.1155\/2023\/4589181","type":"journal-article","created":{"date-parts":[[2023,6,9]],"date-time":"2023-06-09T02:05:09Z","timestamp":1686276309000},"page":"1-6","source":"Crossref","is-referenced-by-count":3,"title":["Diffractive Theory Study of Twisted Light\u2019s Evolution during Phase-Only OAM Manipulations"],"prefix":"10.1155","volume":"2023","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7818-3714","authenticated-orcid":true,"given":"Zhi-Yuan","family":"Zhou","sequence":"first","affiliation":[{"name":"CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Anhui, Hefei 230026, China"},{"name":"CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China"}]},{"given":"Zhi-Han","family":"Zhu","sequence":"additional","affiliation":[{"name":"Da-Heng Collaborative Innovation Center for Science of Quantum Manipulation & Control, Harbin University of Science and Technology, Harbin 150080, China"}]},{"given":"Bao-Sen","family":"Shi","sequence":"additional","affiliation":[{"name":"CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Anhui, Hefei 230026, China"},{"name":"CAS Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"crossref","DOI":"10.1002\/9783527635368","volume-title":"Twisted Photons: Applications of Light with Orbital Angular Momentum","author":"J. 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