The matrix method of Gaussian optical ray trace analysis has been extended to facilitate the analysis of skew rays in mixed systems of spherical and orthogonal cylindrical lenses. The position and angle of the ray are specified by a Cartesian-altazimuth representation. Lenses and lens systems are analyzed to demonstrate the method.
Alfred E. Attard, "Matrix optical analysis of skew rays in mixed systems of spherical and orthogonal cylindrical lenses," Appl. Opt. 23, 2706-2709 (1984)