{"title":"利用种子曲线扩展和模拟退火算法，在离轴反射成像系统的初始布局中直接构造自由曲面","authors":"Hongxiang Pan, Zhouping Su, Yangliu Zhang, Tao Wu","doi":"10.1186/s41476-020-00130-x","DOIUrl":null,"url":null,"abstract":"<p>In this paper, a method of how to construct a freeform surface directly in an off-axis reflective image system is proposed. The method includes both the seed curve extension algorithm and simulated annealing algorithm. Firstly, the sample points on the unkown freeform surface were be obtained quickly by the seed curve extension algorithm. Then the continuity of the freeform surface is evaluated by calculating the angle between the normal vectors at the adjacent sample points. At last the freeform surface was fitted to an extended polynomials using simulated annealing algorithm. The method is employed to construct a freeform surface directly which is used as a primary mirror in an initial layout of an off-axis two-mirror system.</p>","PeriodicalId":674,"journal":{"name":"Journal of the European Optical Society-Rapid Publications","volume":"16 1","pages":""},"PeriodicalIF":1.9000,"publicationDate":"2020-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s41476-020-00130-x","citationCount":"3","resultStr":"{\"title\":\"Construct freeform surface directly in an initial layout of an off-axis reflective image system by seed curve extension and simulated annealing algorithm\",\"authors\":\"Hongxiang Pan, Zhouping Su, Yangliu Zhang, Tao Wu\",\"doi\":\"10.1186/s41476-020-00130-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this paper, a method of how to construct a freeform surface directly in an off-axis reflective image system is proposed. The method includes both the seed curve extension algorithm and simulated annealing algorithm. Firstly, the sample points on the unkown freeform surface were be obtained quickly by the seed curve extension algorithm. Then the continuity of the freeform surface is evaluated by calculating the angle between the normal vectors at the adjacent sample points. At last the freeform surface was fitted to an extended polynomials using simulated annealing algorithm. The method is employed to construct a freeform surface directly which is used as a primary mirror in an initial layout of an off-axis two-mirror system.</p>\",\"PeriodicalId\":674,\"journal\":{\"name\":\"Journal of the European Optical Society-Rapid Publications\",\"volume\":\"16 1\",\"pages\":\"\"},\"PeriodicalIF\":1.9000,\"publicationDate\":\"2020-04-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1186/s41476-020-00130-x\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the European Optical Society-Rapid Publications\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1186/s41476-020-00130-x\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"OPTICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the European Optical Society-Rapid Publications","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1186/s41476-020-00130-x","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"OPTICS","Score":null,"Total":0}
Construct freeform surface directly in an initial layout of an off-axis reflective image system by seed curve extension and simulated annealing algorithm
In this paper, a method of how to construct a freeform surface directly in an off-axis reflective image system is proposed. The method includes both the seed curve extension algorithm and simulated annealing algorithm. Firstly, the sample points on the unkown freeform surface were be obtained quickly by the seed curve extension algorithm. Then the continuity of the freeform surface is evaluated by calculating the angle between the normal vectors at the adjacent sample points. At last the freeform surface was fitted to an extended polynomials using simulated annealing algorithm. The method is employed to construct a freeform surface directly which is used as a primary mirror in an initial layout of an off-axis two-mirror system.
期刊介绍：
Rapid progress in optics and photonics has broadened its application enormously into many branches, including information and communication technology, security, sensing, bio- and medical sciences, healthcare and chemistry.
Recent achievements in other sciences have allowed continual discovery of new natural mysteries and formulation of challenging goals for optics that require further development of modern concepts and running fundamental research.
The Journal of the European Optical Society – Rapid Publications (JEOS:RP) aims to tackle all of the aforementioned points in the form of prompt, scientific, high-quality communications that report on the latest findings. It presents emerging technologies and outlining strategic goals in optics and photonics.
The journal covers both fundamental and applied topics, including but not limited to:
Classical and quantum optics
Light/matter interaction
Optical communication
Micro- and nanooptics
Nonlinear optical phenomena
Optical materials
Optical metrology
Optical spectroscopy
Colour research
Nano and metamaterials
Modern photonics technology
Optical engineering, design and instrumentation
Optical applications in bio-physics and medicine
Interdisciplinary fields using photonics, such as in energy, climate change and cultural heritage
The journal aims to provide readers with recent and important achievements in optics/photonics and, as its name suggests, it strives for the shortest possible publication time.
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