Abstract
An analysis is made of two-mirror systems consisting of spherical reflecting surfaces. Solutions are found for those systems having zero third-order spherical aberration. It is shown that no practical solution exists for the configuration resembling the Cassegrainian telescope; there are three one-parameter families of solutions. These are given by
where
c1 and
c2 are the two curvatures;
t1 the axial separation of the two reflecting surfaces;
t0 the distance from a focus to the corresponding surface; and
f the focal length. The free parameter is
θ and
r = 0, 1, −1.
© 1967 Optical Society of America
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