Abstract

A simple extension of the paraxial ray trace to nonaligned systems is discussed. It is shown how to calculate third-order aberrations in the meridional plane for center field as well as upper and lower field. An example is given to illustrate a method of design and analysis.

© 1978 Optical Society of America

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Corrections

Rubin Gelles, "Errata," J. Opt. Soc. Am. 69, 208_1-208 (1979)
https://www.osapublishing.org/josa/abstract.cfm?uri=josa-69-1-208_1

References

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  1. R. Gelles, “Unobscured-aperture two-mirror systems,” J. Opt. Soc. Am. 65, 1141–1143 (1975).
    [Crossref]

1975 (1)

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Figures (9)

FIG. 1
FIG. 1

Definition of parameters used for paraxial ray trace.

FIG. 2
FIG. 2

Path of central ray through Cassegrain system.

FIG. 3
FIG. 3

Third-order astigmatism of Cassegrain system.

FIG. 4
FIG. 4

Third-order astigmatism of Ritchey-Chretien system.

FIG. 5
FIG. 5

Third-order astigmatism of Dall-Kirkham system (aspheric primary).

FIG. 6
FIG. 6

Aberrations of center-field meridional and sagittal ray fans.

FIG. 7
FIG. 7

Ray-traced astigmatism of Cassegrain system.

FIG. 8
FIG. 8

FIG. 8a. Third-order astigmatism of centered Cassegrain system.

FIG. 9
FIG. 9

Third-order astigmatism of stop-shifted Cassegrain system.

Tables (3)

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TABLE I Paraxial ray trace through Cassegrain system.

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TABLE II Third-order aberration calculation of Cassegrain system.

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TABLE III Original and corrected values for Cassegrain.

Equations (9)

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n u = n u + y ,
y i + 1 = y i - d n u ,
y = y 0 - y d ,
u = u 0 + θ ,
u 0 = u - θ .
C * = C + S Q ,
A * = A + 2 C Q + S Q 2 ,
D * = D + 3 ( A + I 2 P ) Q + 3 C Q 2 + S Q 3 .
A L * = 0.001 266 6 - 0.000 256 Q , A U * = - 0.000 377 5 + 0.000 256 Q ,