Abstract

Optical systems including holographic optical elements and Fresnel gratings can be designed with ordinary lens optimization computer codes. Holographic elements are represented as lenses with very large indices of refraction and very small curvatures. As the index approaches infinity, the model becomes exact. General design parameters and image quality of holograms on both planar and spherical surfaces are discussed.

© 1977 Optical Society of America

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References

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  1. The term "holographic optical element" shall be used to describe off-axis Fresnel gratings of all types.
  2. H. H. Hopkins, Wave Theory of Aberrations (Clarendon, Oxford, 1950).
  3. W. T. Welford, Abberations of the Symmetrical Optical System (Academic, New York, 1974).
  4. O. N. Stavroudis, The Optics of Rays, Wavefronts and Caustics, (Academic, New York, 1972), p. 97.
  5. A. Ofner, "Ray Tracing Through a Holographic System," J. Opt. Soc. Am. 56, 1509 (1966).
  6. ACCOSIV (Sci. Calc. Inc.) at University of Arizona.
  7. E. B. Champagne, "Nonparaxial Imaging, Magnification and Aberration Properties in Holography," J. Opt. Soc. Am. 57, 51 (1967).
  8. W. J. Smith, Modern Optical Engineering (McGraw-Hill, New York, 1966), p. 277.
  9. R. W. Meier, "Magnification and Third-Order Aberrations in Holography," J. Opt. Soc. Am. 55, 987 (1965).
  10. H. M. Smith, Principles of Holography, 2nd ed. (Wiley, New York, 1975).
  11. Equation (3) checks with Meiers (Ref. 9) but differs from Smith (Ref. 10). Smith has SI=...…+µ/z1z2-…; Meier's shrinkage factor is assumed to be unity.
  12. Checks with Smith (Ref. 10).
  13. ACCOS IV (Sci. Calc. Inc.) at the University of Arizona accepts the large indices.

1967 (1)

1966 (1)

1965 (1)

Champagne, E. B.

Hopkins, H. H.

H. H. Hopkins, Wave Theory of Aberrations (Clarendon, Oxford, 1950).

Meier, R. W.

Ofner, A.

Smith, H. M.

H. M. Smith, Principles of Holography, 2nd ed. (Wiley, New York, 1975).

Smith, W. J.

W. J. Smith, Modern Optical Engineering (McGraw-Hill, New York, 1966), p. 277.

Stavroudis, O. N.

O. N. Stavroudis, The Optics of Rays, Wavefronts and Caustics, (Academic, New York, 1972), p. 97.

Welford, W. T.

W. T. Welford, Abberations of the Symmetrical Optical System (Academic, New York, 1974).

J. Opt. Soc. Am. (3)

Other (10)

H. M. Smith, Principles of Holography, 2nd ed. (Wiley, New York, 1975).

Equation (3) checks with Meiers (Ref. 9) but differs from Smith (Ref. 10). Smith has SI=...…+µ/z1z2-…; Meier's shrinkage factor is assumed to be unity.

Checks with Smith (Ref. 10).

ACCOS IV (Sci. Calc. Inc.) at the University of Arizona accepts the large indices.

W. J. Smith, Modern Optical Engineering (McGraw-Hill, New York, 1966), p. 277.

ACCOSIV (Sci. Calc. Inc.) at University of Arizona.

The term "holographic optical element" shall be used to describe off-axis Fresnel gratings of all types.

H. H. Hopkins, Wave Theory of Aberrations (Clarendon, Oxford, 1950).

W. T. Welford, Abberations of the Symmetrical Optical System (Academic, New York, 1974).

O. N. Stavroudis, The Optics of Rays, Wavefronts and Caustics, (Academic, New York, 1972), p. 97.

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