Free-vibration modes of an annular mirror for the optical aberration representation

doi:10.1117/1.JATIS.5.2.024002

	Free-vibration modes of an annular mirror for the optical aberration representation
	Wang, Hairen1,2 ; Zuo, Yingxi1,2 ; Zheng, Xianzhong1,2 ; Yang, Ji1,2
刊名	JOURNAL OF ASTRONOMICAL TELESCOPES INSTRUMENTS AND SYSTEMS
	2019-04-01
卷号	5 期号:2 页码:6
关键词	free-vibration modes optical aberrations Zernike polynomials thin plate theory
ISSN号	2329-4124
DOI	10.1117/1.JATIS.5.2.024002
通讯作者	Wang, Hairen(Hairenwang@pmo.ac.cn)
英文摘要	The free-vibration modes of an annular mirror (FVMAM), reflecting the natural properties of the physical phenomenon of resonance, are proposed to represent the optical aberrations. A realistic dynamics model is presented to investigate the physical properties of an annular mirror on the natural frequencies of FVMAM. An explicit solution is derived from the analytic method based on the thin plate theory. Taking the primary mirror of the 2.5-m-wide field survey telescope as an example, the FVMAM is numerically calculated and studied. The results have shown that the mode shapes resemble the optical aberrations, and there is almost a one-to-one match between each free-vibration mode and each optical aberration. In addition, the results of the analytic method are validated by the finite-element method. The conclusions suggest that the results obtained by the two methods are in good agreement with each other. Moreover, we present a comparative study for FVMAM and annular Zernike polynomials which are very well known to be widely used to represent optical aberrations. The results show that the free-vibration modes can not only be used to replace annular Zernike polynomials but also can be more effective. (C) 2019 Society of Photo-Optical Instrumentation Engineers (SPIE)
WOS关键词	ACTIVE OPTICS
WOS研究方向	Engineering ; Instruments & Instrumentation ; Optics
语种	英语
出版者	SPIE-SOC PHOTO-OPTICAL INSTRUMENTATION ENGINEERS
WOS记录号	WOS:000481881700024
内容类型	期刊论文
源URL	[http://libir.pmo.ac.cn/handle/332002/28051]
专题	中国科学院紫金山天文台
通讯作者	Wang, Hairen
作者单位	1.Chinese Acad Sci, Purple Mt Observ, Nanjing, Jiangsu, Peoples R China 2.Chinese Acad Sci, Key Lab Radio Astron, Nanjing, Jiangsu, Peoples R China
推荐引用方式 GB/T 7714	Wang, Hairen,Zuo, Yingxi,Zheng, Xianzhong,et al. Free-vibration modes of an annular mirror for the optical aberration representation[J]. JOURNAL OF ASTRONOMICAL TELESCOPES INSTRUMENTS AND SYSTEMS,2019,5(2):6.
APA	Wang, Hairen,Zuo, Yingxi,Zheng, Xianzhong,&Yang, Ji.(2019).Free-vibration modes of an annular mirror for the optical aberration representation.JOURNAL OF ASTRONOMICAL TELESCOPES INSTRUMENTS AND SYSTEMS,5(2),6.
MLA	Wang, Hairen,et al."Free-vibration modes of an annular mirror for the optical aberration representation".JOURNAL OF ASTRONOMICAL TELESCOPES INSTRUMENTS AND SYSTEMS 5.2(2019):6.