Aberrational weight adjustment by tolerance-based weighting in damped least squares optimization

Physics

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Scientific paper

This paper presents a method of automatically adjusting aberrational weighting factors in a damped least squares optimization program, based on tolerance data provided for each aberration site. The method which is based on previous work by the authors and that of Yao has been developed into a tolerance-based method for aberrational weight adjustment. This enhanced method allows the user to set and adjust weights by a new tolerance-based method. The use of a power index ((rho) ) in the tolerance-based method provides continuously variable control over the amount by which the aberrational weights are adjusted. The practical use of the tolerance-based method is demonstrated using simple and well understood test lenses to reveal the modifications that take place within the iterative design progress, that result from aberrational weight adjustment. Suggestions for suitable tolerance schemes have also been investigated as an integral part of this work, based on the work of Hopkins.

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