THE DELANO GAMMA-(GAMMA)OVER-BAR DIAGRAM APPLIED TO OPTICAL SYSTEM SYNTHESIS AND OPTIMIZATION, GAMMA-(GAMMA)OVER-BAR DIAGRAM POINT DISPLACEMENTS

摘要

This paper is concerned with the equations representing the differential increments introduced to Seidel surface aberration contributions at three consecutive points (j - 1, j,j + 1), in a y - (y) over bar diagram representing an arbitrary optical system, when the central one (j) becomes displaced along its conjugate, object and image space lines. The equations representing the differential increments of the Seidel aberrations in the y - (y) over bar diagram design space are reported here for the first time. These equations are the complete set of 35 differential increments of surface Seidel aberration contributions, given in four tables, and the optical system's Seidel aberration sums as a set of 12 equations in 4 tables. All these equations are given as functions of y - (y) over bar design space independent variables, paraxial ray trace data and each corresponding aberration's value, as evaluated in the optical system's original configuration. The structural similitude featured by these equations, and the recurrent application of an optical system synthesis subroutine, has simplified the development of a fast and accurate automatic optimization procedure in y - (y) over bar design space. [References: 6]