Analytic formulas of the aspheric terms for convex-piano and plano-convex aspheric lenses

摘要

We provide analytic formulas for fews aspheric terms either plano-convex or convex-piano aspheric lenses. These formulas are obtained considering an expansion in Taylor's series from exact caustic equation produced by aspheric lenses. A comparison between our method and numerical methods of design are presented, showing a well agreement in order to reduce the spherical aberration.