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

Hairen Wang; Yingxi Zuo; Xianzhong Zheng; Ji Yang

doi:10.1117/1.JATIS.5.2.024002

22 April 2019 Free-vibration modes of an annular mirror for the optical aberration representation

Hairen Wang, Yingxi Zuo, Xianzhong Zheng, Ji Yang

Journal of Astronomical Telescopes, Instruments, and Systems, Vol. 5, Issue 2, 024002 (April 2019). https://doi.org/10.1117/1.JATIS.5.2.024002

Abstract

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.

Citation Download Citation

Hairen Wang, Yingxi Zuo, Xianzhong Zheng, and Ji Yang "Free-vibration modes of an annular mirror for the optical aberration representation," Journal of Astronomical Telescopes, Instruments, and Systems 5(2), 024002 (22 April 2019). https://doi.org/10.1117/1.JATIS.5.2.024002

Received: 21 November 2018; Accepted: 1 April 2019; Published: 22 April 2019

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available