An analysis is made of refracting systems consisting of two spherical surfaces. Solutions are found for those systems having zero third-order spherical aberration. These are in the form of four one-parameter families of functions. Expressions for third-order coma and astigmatism are derived. Parameter domains for useful solutions are indicated. A method for applying these results to optical design is described.
ORESTES N. STAVROUDIS, "Two-Surface Refracting Systems with Zero Third-Order Spherical Aberration," J. Opt. Soc. Am. 59, 288-293 (1969)