Lu Li-Jun, Hu Xiao-Yan, Sheng Cui-Yuan
Department of Fine Mechanical Engineering, Shanghai University, Shanghai, China.
Appl Opt. 2012 Jun 10;51(17):3776-86. doi: 10.1364/AO.51.003776.
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.
