A design method of aspherical surface for panoramic imaging system with two mirrors using multi-populations genetic algorithms is proposed. Astigmatism induced by mirrors may significantly compromise the image resolution. To solve this problem

we induced algebraic expression of astigmatism in panoramic imager based on generalized Coddington equation and the theory of geometric optics. Then

we proposed an optimization process for mirror profile design to eliminate astigmatism and provide purposely-designed projection formula with aid of MPGA. A series of polynomial expressions of aspherical surfaces were obtained and procedures of the design were presented. In order to facilitate raytracing and aberration calculation

even asphere surface model was obtained by using of hybrid schemes combining MPGA and damped least squares. Finally

a prototype of the catadioptric panoramic imager had developed and panoramic ring images were obtained.