Dependence of third- and fifth-order aberration coefficients on the definition of pupil coordinates.

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Optical Systems: Aberrations

Scientific paper

Three pupil-coordinate definitions are considered for the description of aberrations. The corresponding sets of expressions for the third- and fifth-order image-aberration coefficients as well as the third-order pupil-aberration coefficients are presented. The authors show their interrelations and the connection with eikonal coefficients. One pupil-coordinate definition leads to the occurrence of 9 independent fifth-order image-aberration coefficients; the other two definitions lead to 12 independent fifth-order image-aberration coefficients. The authors find that the third-order image-aberration coefficients are independent of the choice of pupil-coordinate definition, whereas the third-order pupil-aberration coefficients and the fifth-order image-aberration coefficients do depend on this choice. It is shown that the case of ideal imaging may imply finite pupil aberrations.

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