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Sensors 2015, 15(1), 1736-1749;

An Image Stabilization Optical System Using Deformable Freeform Mirrors

1,†,* , 2,†
Beijing Key Lab. for Precision Optoelectronic Measurement Instrument and Technology, School of Optoelectronics, Beijing Institute of Technology, Beijing 100081, China
Graduate School at Shenzhen, Tsinghua University, Shenzhen 518055, China
These authors contributed equally to this work.
Author to whom correspondence should be addressed.
Received: 11 November 2014 / Accepted: 5 January 2015 / Published: 15 January 2015
(This article belongs to the Section Physical Sensors)
Full-Text   |   PDF [1513 KB, uploaded 15 January 2015]


An image stabilization optical system using deformable freeform mirrors is proposed that enables the ray sets to couple dynamically in the object and image space. It aims to correct image blurring and degradation when there is relative movement between the imaging optical axis and the object. In this method, Fermat’s principle and matrix methods are used to describe the optical path of the entire optical system with a shift object plane and a fixed corresponding image plane in the carrier coordinate system. A constant optical path length is determined for each ray set, so the correspondence between the object and the shift free image point is used to calculate the solution to the points on the surface profile of the deformable mirrors (DMs). Off-axis three-mirror anastigmats are used to demonstrate the benefits of optical image stabilization with one- and two-deformable mirrors. View Full-Text
Keywords: geometric optics; computation methods; stabilization system geometric optics; computation methods; stabilization system
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Hao, Q.; Cheng, X.; Kang, J.; Jiang, Y. An Image Stabilization Optical System Using Deformable Freeform Mirrors. Sensors 2015, 15, 1736-1749.

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