Optimization method for ultra-wide-angle and panoramic optical systems |
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Authors: | Lu Li-Jun Hu Xiao-Yan Sheng Cui-Yuan |
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Affiliation: | Department of Fine Mechanical Engineering, Shanghai University, Shanghai, China. lulijun@shu.edu.cn |
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Abstract: | To an ultra-wide-angle and panoramic optical system, the aberrations of point object at any field angle are separated into two types: the aperture-ray aberrations of off-axis point object and the chief-ray aberrations. A simple form of the triangular formulae of tracing an oblique-incidence ray is derived to calculate the chief-ray parameters and their aberrations; moreover, the aperture-ray aberrations of an off-axis point object are analyzed with the plane-symmetric aberration theory. Based on the two types of aberrations, we present a merit function for ultra-wide-angle and panoramic optical systems; the optimization program with the differential-evolution algorithm is then developed. To validate the optimization method we finally optimize a fish-eye lens and a catadioptric omnidirectional imaging system. |
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