Abstract

In the typical lens optimization problem there are two groups of equations. The first group which includes optomechanical constraints must be solved exactly, while the second group which includes aberrations in general admits an approximate solution. In Spencer’s method the sum of the squares of the residuals of the latter group is reduced to a minimum. If all the equations in the second group except one are eliminated, and that equation represents the norm of the vector of parameter changes, the system is a solution of Glatzel’s method. This happens automatically when the damping factor added to the diagonal in Spencer’s matrix approaches infinity. There is, therefore, a gradual transition from Spencer’s solution to Glatzel’s solution, and it is possible to combine both methods into one.

© 1988 Optical Society of America