Automatic design and analysis of a single aspheric lens using particle swarm algorithm is presented.Particle swarm algorithm is applied to aberration correction of a single aspheric lens to meet requirements of spherical aberration.A mathematical model is constructed.And a program code is developed.Merit functions in an optical system are employed as fitness functions,which combined coefficients of a higher degree polynomial equation,a reciprocal of radius of curvature,a conic constant,thicknesses among lens surfaces and refractive indices regarding an optical system.Automatic correction of spherical aberration is performed with the function.An example shows that PSO as a tool for spherical aberration correction of a single aspheric lens is simple and effective.

We propose an application of Particle Swarm Optimization(PSO) in lens design.A mathematical model is constructed and a program code is developed.A fitness function is designed which combined radiuses of curvature,distances between lens surfaces and refractive indices in an optical system.Aberration correction is carried out with this function.An example using PSO is given.It shows that as a computer-aided optical design tools PSO is practical and powerful.It is no longer dependent on initial lens structure and creates arbitrarily search ranges of structure parameters,which is an important step towards automatic design with artificial intelligence.