Abstract

Closed-form solutions for centered imaging systems, corrected for any combination of third-order aberrations, have been derived. The theory is based on Seidel’s formulas for third-order aberrations, which have been reformulated so that they are expressed by mutually independent variables only. Chief importance is laid upon all-reflective systems. Special formulas for well-corrected two- and three-mirror systems are given.

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  2. K. Schwarzschild, Astr. Mitt. Kgl. Sternw. Güttingen 9, 1 (1905).
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  16. J G. Baker, IEEE Trans. Aerosp. Electron. Syst. 5, 2 (1969); IEEE Trans. Aerosp. Electron. Syst. 5, 261 (1969).
  17. D. Korsch, Appl. Opt. 11, 2986 (1972).

Baker, J G.

J G. Baker, IEEE Trans. Aerosp. Electron. Syst. 5, 2 (1969); IEEE Trans. Aerosp. Electron. Syst. 5, 261 (1969).

Burch, C. R.

C. R. Burch, Proc. Phys. Soc. Lond. 59, 41 (1947).

Crétien, M. H.

M. H. Crétien, Rev. Opt. Theor. Instrum. 1, 49 (1922).

Dessy, J. L.

J. L. Dessy, Publ. Astron. Soc. Pac. 75, 66 (1963).

Erdüs, P.

P. Erdüs, J. Opt. Soc. Am. 49, 877 (1959).

Jurek, B.

B. Jurek, Optik (Stuttg.) 18, 413 (1961).

Korsch, D.

D. Korsch, Appl. Opt. 11, 2986 (1972).

Kühler, H.

H. Kühler, Astron. Nachr. 278, 1 (1949).

Norris, K. P.

K. P. Norris, W. E. Seeds, and M. H. F. Wilkens, J. Opt. Soc. Am. 41, 456 (1951).

Paul, M.

M. Paul, Rev. Opt. Theor. Instrum. 14, 169 (1935).

Picht, J.

J. Picht, Optik (Stuttg.) 8, 129 (1951).

Rosin, S.

S. Rosin, Appl. Opt. 7, 1483 (1968).

Schwarzschild, K.

K. Schwarzschild, Astr. Mitt. Kgl. Sternw. Güttingen 10, 1 (1905).

K. Schwarzschild, Astr. Mitt. Kgl. Sternw. Güttingen 9, 1 (1905).

Seeds, W. E.

K. P. Norris, W. E. Seeds, and M. H. F. Wilkens, J. Opt. Soc. Am. 41, 456 (1951).

Slevogt, H.

H. Slevogt, Z. Instrumentenkd. 62, 312 (1942).

Stavroudis, O. N.

O. N. Stavroudis, J. Opt. Soc. Am. 57, 741 (1967).

Theissing, H.

H. Theissing and O. Zinke, Optik (Stuttg.) 3, 451 (1948).

Wilkens, M. H. F.

K. P. Norris, W. E. Seeds, and M. H. F. Wilkens, J. Opt. Soc. Am. 41, 456 (1951).

Zinke, O.

H. Theissing and O. Zinke, Optik (Stuttg.) 3, 451 (1948).

Other (17)

K. Schwarzschild, Astr. Mitt. Kgl. Sternw. Güttingen 10, 1 (1905).

K. Schwarzschild, Astr. Mitt. Kgl. Sternw. Güttingen 9, 1 (1905).

M. H. Crétien, Rev. Opt. Theor. Instrum. 1, 49 (1922).

H. Slevogt, Z. Instrumentenkd. 62, 312 (1942).

H. Theissing and O. Zinke, Optik (Stuttg.) 3, 451 (1948).

H. Kühler, Astron. Nachr. 278, 1 (1949).

C. R. Burch, Proc. Phys. Soc. Lond. 59, 41 (1947).

K. P. Norris, W. E. Seeds, and M. H. F. Wilkens, J. Opt. Soc. Am. 41, 456 (1951).

B. Jurek, Optik (Stuttg.) 18, 413 (1961).

P. Erdüs, J. Opt. Soc. Am. 49, 877 (1959).

O. N. Stavroudis, J. Opt. Soc. Am. 57, 741 (1967).

S. Rosin, Appl. Opt. 7, 1483 (1968).

M. Paul, Rev. Opt. Theor. Instrum. 14, 169 (1935).

J. Picht, Optik (Stuttg.) 8, 129 (1951).

J. L. Dessy, Publ. Astron. Soc. Pac. 75, 66 (1963).

J G. Baker, IEEE Trans. Aerosp. Electron. Syst. 5, 2 (1969); IEEE Trans. Aerosp. Electron. Syst. 5, 261 (1969).

D. Korsch, Appl. Opt. 11, 2986 (1972).

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