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- W3043111304 abstract "The two purposes of this research are to give abetter mathematical description of lens design problems near asolution and to make a contribution to the problem of globaloptimization in lens design. Orthogonal transformations derived bysolving eigenvalue problems in two vector spaces, the space of lensconstruction variables and the space of image defects, have beenused to simplify the problem so that the effects of nonlinearitycould be more easily studied. The most important nonlinear effectshave been deduced and implications of these effects for twoimportant algorithms, Damped Least Squares and Grey'sorthonormalization method, have been worked out. The nonlinearstructure of the lens design problem is such that Damped LeastSquares is subject to serious stagnation phenomena. Grey's methodis superior in this respect. A different approach to handlingnonlinearity has been developed, and an algorithm which embodiesthis approach is described. An approach to the problem of findingdifferent solutions to a particular lens design problem is givenand the successful implementation of this approach on a simpleproblem is described. Numerical data fully describing the structureof several lens design problems near solutions arepresented." @default.
- W3043111304 created "2020-07-23" @default.
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- W3043111304 date "1973-01-01" @default.
- W3043111304 modified "2023-09-28" @default.
- W3043111304 title "Convergence and Multiple Solutions in Automatic Lens Design." @default.
- W3043111304 hasPublicationYear "1973" @default.
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