Abstract
Annular field aberrations of a three-reflection concentric system, which are
composed of two spherical mirrors, are analyzed. An annular field with a high level
of aberration correction exists near the position where the principal ray is
perpendicular to the object-image plane. Aberrations are determined by the object
height and aperture angle. In this letter, the general expression of the system
aberration is derived using the geometric method, and the non-approximate design
method is proposed to calculate the radii of the annular fields that have minimum
aberrations under different aperture angles. The closer to 0.5 (the ratio of the
radius of convex mirror to the radius of concave mirror) is, the smaller the system
aberration is. The examples analyzed by LABVIEW indicate that the annular field
designed by the proposed method has the smallest aberration in a given system.
© 2012 Chinese Optics Letters
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