Abstract

Integrated zoom and image stabilization system based on deformable mirrors (DMs) has advantages of miniaturization, rapid response and low energy consumption. Integrating the two capabilities on one DM-based imaging system poses considerable challenges. First, limited DM stroke will result in limited changeable aberration correction value for zoom and image stabilization. Second, the DM-based off-axis imaging system suffers a simple relative movement between optical axis and objects caused by carrier vibration may result in complicated optical system aberrations. To address these challenges, a reasonable assignment of the changeable aberration correction value for zoom and image stabilization is needed. Image stabilization and aberration correction in DM-based off-axis imaging system, should be considered when translation or rotation occurs. To troubleshoot the assignment issues of the correcting aberrations, we propose a graded optimization method which comprises two steps. To troubleshoot the image stabilization and aberration correction issues, we introduce vectorial ray tracing method and image point freezing principle to transform the aberration correction problem into an optimization problem of image coordinates. With the proposed method, we construct practical integrated freeform surfaces of DMs for a space camera with three mirrors. The sagittal heights of designed DM surface profiles are limited within their available stroke.

Highlights

  • Zoom and image stabilization are two important capacities for many imaging systems, such as reconnaissance camera integrated into high-speed moving vehicles and space camera that works on vibrating aircraft

  • The graded optimization method through vectorial ray tracing and image point freezing principle proposed in this study focuses on designing the freeform surface of deformable mirrors (DMs) in integrated zoom and image stabilization system

  • We propose a freeform surface graded optimization method of DMs through vectorial ray tracing and image point freezing principle for integrated zoom and image stabilization system

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Summary

Introduction

Zoom and image stabilization are two important capacities for many imaging systems, such as reconnaissance camera integrated into high-speed moving vehicles and space camera that works on vibrating aircraft. Optical elements with variable surface profiles enable the exploration of such imaging system because of its advantages of miniaturization, power consumption, stability, speed and costs [2]. A simple mutual translation or rotation between the imaging system and the objects caused by carrier vibration may result in complicated optical system aberrations Such aberrations can be hardly compensated when solely using tilt aberrations. To troubleshoot the assignment issues of the correcting aberrations, we propose a graded optimization method which comprises two steps, namely, first-order design of DM freeform surface profiles for zoom and second-order design of DM freeform surface profile for integrated zoom and image stabilization.

Graded Optimization Method
First-Order Design of DM Surface Profiles
Second-Order Design of DM Surface Profile
Construction of Evaluation Function
Extraction of Optimization Variables
Optimization of Integrated DM Surface Profile
Design Example
Design of Two DM Surface Profiles for Zoom Capability
Optimization of One DM Surface Profile for Image Stabilization
Discussions
Conclusion
Full Text
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