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Optimization Techniques i i
The Merit Function
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aberration coefficients aperture stop approximation automatic design axial axis catadioptric system choice CONTINUE RETURN END corresponding curvatures damped least squares derivatives described design variables doublet elements entrance pupil errors evaluated exit pupil field finite ray tracing focal length geometrical optics grad ill-condition image plane image quality initial system intersection iteration least squares equations least squares method lens design lens powers lenses linear matrix ATA meridional meridional rays merit function metric minimization minimum non-linearities normalized spatial frequency number of rays optical design optical system optimum order aberration orthogonal parameter space paraxial approximation paraxial ray point spread function predicted primary aberration procedure Ray height refractive index Seidel set of constraints shown in Fig skew ray solution spatial frequency variables spherical starting system Strehl ratio SUBROUTINE theory thin lens transverse ray triplet variable parameters vector vector gradient wave aberration function waveband wavefront weighting zero zoom lens