15 April 1993 Short derivation of aberrations, stop-shift, and object-shift equations for diffractive optics
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Abstract
A method for calculating third order transverse aberrations of diffractive elements is presented. The vector grating diffraction equation, well known for its use in ray-tracing, is now used to directly obtain the angle Eikonal at unit magnification of the element in question. As an example, we consider the special case of an axially symmetric planar diffractive element. A single coordinate transformation yields not only the third order aberration coefficients but also the stop and object shift properties of the system.
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Jacob L. F. de Meijere, "Short derivation of aberrations, stop-shift, and object-shift equations for diffractive optics", Proc. SPIE 1780, Lens and Optical Systems Design, 178012 (15 April 1993); doi: 10.1117/12.142832; https://doi.org/10.1117/12.142832
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