Multidimensional quadratic extrapolation method for the correction of aberrations in lens systems.
An interactive optical design tool that is based on multidimensional quadratic extrapolation is described. This technique extends the radius of convergence of the aberration manipulation process, provides strategic information about the correctability of the aberrations at each stage in iteration, and is computationally simple. A quadratic approximation to each of the nonlinearly varying aberrations, which are initially based on one relatively remote linearly predicted point in solution space, allows the step length of this differential improvement method to be extended over that which is possible with local derivative techniques. The basic mathematical method works with an equal number of defects and variables, and to involve all the relevant constructional parameters of an optical system these are grouped or linked together on the basis of an assumption about their combined ability to correct the chosen aberrations. Examples are given.
Maxwell
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J
Hull
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