Abstract

We present a theory of the aberrations of gratings that are recorded holographically. Stigmatic imaging at one or two wavelengths is possible with such a grating. We give a summary of the cases of stigmatism, including some newly found. The general principles of the correction of aberrations of holographic recording are described. The theory is applied to the design of Rowland, Seya-Namioka, Wadsworth, and Eagle mountings. We show that the extra freedom of design given by holographic recording can be used to obtain a simpler scanning mechanism or better correction of aberrations, or both.

© 1977 Optical Society of America

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  1. C. H. F. Velzel, J. Opt. Soc. Am. 66, 346 (1976).
  2. A. Labeyrie and J. Flamand, Opt. Commun. 1, 5 (1969).
  3. J. Cordelle, J. Flamand, and G. Pieuchard, in Optical Instruments and Techniques, edited by J. Home Dickson (Oriel, Newcastle, 1970), p. 117.
  4. E. W. Palmer, M. C. Hutley, A. Franks, J. F. Verrill, and B. Gale, Rep. Prog. Phys. 38, 975 (1975).
  5. Jobin Yvon, Diffraction Gratings, Ruled and Holographic (Company Publication, City, 1973).
  6. R. J. Speer, J. Opt. Soc. Am. 65, 1214 (1975).
  7. W. T. Welford, Opt. Acta 9, 389 (1962).
  8. H. Noda, T. Namioka, and M. Seya, J. Opt. Soc. Am. 64, 1037 (1974).
  9. M. Pouey, J. Opt. Soc. Am. 64, 1616 (1974).
  10. H. Noda, T. Namioka, and M. Seya, J. Opt. Soc. Am. 64, 1043 (1974).
  11. W. Seya, Sci. Light 2, 8 (1952).
  12. H. Greiner and E. Schäffer, Optik 14, 263 (1957); 15, 51 (1958).

Cordelle, J.

J. Cordelle, J. Flamand, and G. Pieuchard, in Optical Instruments and Techniques, edited by J. Home Dickson (Oriel, Newcastle, 1970), p. 117.

Flamand, J.

J. Cordelle, J. Flamand, and G. Pieuchard, in Optical Instruments and Techniques, edited by J. Home Dickson (Oriel, Newcastle, 1970), p. 117.

A. Labeyrie and J. Flamand, Opt. Commun. 1, 5 (1969).

Franks, A.

E. W. Palmer, M. C. Hutley, A. Franks, J. F. Verrill, and B. Gale, Rep. Prog. Phys. 38, 975 (1975).

Gale, B.

E. W. Palmer, M. C. Hutley, A. Franks, J. F. Verrill, and B. Gale, Rep. Prog. Phys. 38, 975 (1975).

Greiner, H.

H. Greiner and E. Schäffer, Optik 14, 263 (1957); 15, 51 (1958).

Hutley, M. C.

E. W. Palmer, M. C. Hutley, A. Franks, J. F. Verrill, and B. Gale, Rep. Prog. Phys. 38, 975 (1975).

Labeyrie, A.

A. Labeyrie and J. Flamand, Opt. Commun. 1, 5 (1969).

Namioka, T.

H. Noda, T. Namioka, and M. Seya, J. Opt. Soc. Am. 64, 1037 (1974).

H. Noda, T. Namioka, and M. Seya, J. Opt. Soc. Am. 64, 1043 (1974).

Noda, H.

H. Noda, T. Namioka, and M. Seya, J. Opt. Soc. Am. 64, 1043 (1974).

H. Noda, T. Namioka, and M. Seya, J. Opt. Soc. Am. 64, 1037 (1974).

Palmer, E. W.

E. W. Palmer, M. C. Hutley, A. Franks, J. F. Verrill, and B. Gale, Rep. Prog. Phys. 38, 975 (1975).

Pieuchard, G.

J. Cordelle, J. Flamand, and G. Pieuchard, in Optical Instruments and Techniques, edited by J. Home Dickson (Oriel, Newcastle, 1970), p. 117.

Pouey, M.

M. Pouey, J. Opt. Soc. Am. 64, 1616 (1974).

Schäffer, E.

H. Greiner and E. Schäffer, Optik 14, 263 (1957); 15, 51 (1958).

Seya, M.

H. Noda, T. Namioka, and M. Seya, J. Opt. Soc. Am. 64, 1037 (1974).

H. Noda, T. Namioka, and M. Seya, J. Opt. Soc. Am. 64, 1043 (1974).

Seya, W.

W. Seya, Sci. Light 2, 8 (1952).

Speer, R. J.

R. J. Speer, J. Opt. Soc. Am. 65, 1214 (1975).

Velzel, C. H. F.

C. H. F. Velzel, J. Opt. Soc. Am. 66, 346 (1976).

Verrill, J. F.

E. W. Palmer, M. C. Hutley, A. Franks, J. F. Verrill, and B. Gale, Rep. Prog. Phys. 38, 975 (1975).

Welford, W. T.

W. T. Welford, Opt. Acta 9, 389 (1962).

Yvon, Jobin

Jobin Yvon, Diffraction Gratings, Ruled and Holographic (Company Publication, City, 1973).

Other (12)

C. H. F. Velzel, J. Opt. Soc. Am. 66, 346 (1976).

A. Labeyrie and J. Flamand, Opt. Commun. 1, 5 (1969).

J. Cordelle, J. Flamand, and G. Pieuchard, in Optical Instruments and Techniques, edited by J. Home Dickson (Oriel, Newcastle, 1970), p. 117.

E. W. Palmer, M. C. Hutley, A. Franks, J. F. Verrill, and B. Gale, Rep. Prog. Phys. 38, 975 (1975).

Jobin Yvon, Diffraction Gratings, Ruled and Holographic (Company Publication, City, 1973).

R. J. Speer, J. Opt. Soc. Am. 65, 1214 (1975).

W. T. Welford, Opt. Acta 9, 389 (1962).

H. Noda, T. Namioka, and M. Seya, J. Opt. Soc. Am. 64, 1037 (1974).

M. Pouey, J. Opt. Soc. Am. 64, 1616 (1974).

H. Noda, T. Namioka, and M. Seya, J. Opt. Soc. Am. 64, 1043 (1974).

W. Seya, Sci. Light 2, 8 (1952).

H. Greiner and E. Schäffer, Optik 14, 263 (1957); 15, 51 (1958).

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