Abstract

Formulas for angular, lateral, and longitudinal magnification in reconstructed images by holography (imaging by reconstructed wavefronts) are derived and discussed as a function of object-hologram distance, radii of spherical reference and illuminating wavefronts, wavelength ratio of reconstructing to recording radiation, and scale-change factor of the hologram. Expressions for third-order aberrations in the reconstructed wavef ronts of point objects are given and conditions are established under which one or more of the aberration coefficients vanish, taking into account an off-axis angle of both reference and illuminating beam.

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  1. E. N. Leith and J. Upatnieks, J. Opt. Soc. Am. 52, 1123 (1962).
  2. E. N. Leith and J. Upatnieks, J. Opt. Soc. Am. 53, 1377 (1963).
  3. L. J. Cutrona et al., IRE Trans. Inform. Theory IT-6, 386 (1960).
  4. D. Gabor, Proc. Roy. Soc. (London) A197, 454 (1949).
  5. R. S. Longhurst, Geometrical and Physical Optics (John Wiley & Sons, Inc., New York, 1957), p. 288.
  6. G. L. Rogers, Proc. Roy. Soc. Edinburgh A63, 313 (1952).
  7. G. W. Stroke and D. G. Falconer, Proceedings of the Symposium on Optical and Electro-optical Information Processing (MIT Press, Cambridge, Massachusetts, 1964).

Cutrona, L. J.

L. J. Cutrona et al., IRE Trans. Inform. Theory IT-6, 386 (1960).

Falconer, D. G.

G. W. Stroke and D. G. Falconer, Proceedings of the Symposium on Optical and Electro-optical Information Processing (MIT Press, Cambridge, Massachusetts, 1964).

Gabor, D.

D. Gabor, Proc. Roy. Soc. (London) A197, 454 (1949).

Leith, E. N.

E. N. Leith and J. Upatnieks, J. Opt. Soc. Am. 52, 1123 (1962).

E. N. Leith and J. Upatnieks, J. Opt. Soc. Am. 53, 1377 (1963).

Longhurst, R. S.

R. S. Longhurst, Geometrical and Physical Optics (John Wiley & Sons, Inc., New York, 1957), p. 288.

Rogers, G. L.

G. L. Rogers, Proc. Roy. Soc. Edinburgh A63, 313 (1952).

Stroke, G. W.

G. W. Stroke and D. G. Falconer, Proceedings of the Symposium on Optical and Electro-optical Information Processing (MIT Press, Cambridge, Massachusetts, 1964).

Upatnieks, J.

E. N. Leith and J. Upatnieks, J. Opt. Soc. Am. 53, 1377 (1963).

E. N. Leith and J. Upatnieks, J. Opt. Soc. Am. 52, 1123 (1962).

Other

E. N. Leith and J. Upatnieks, J. Opt. Soc. Am. 52, 1123 (1962).

E. N. Leith and J. Upatnieks, J. Opt. Soc. Am. 53, 1377 (1963).

L. J. Cutrona et al., IRE Trans. Inform. Theory IT-6, 386 (1960).

D. Gabor, Proc. Roy. Soc. (London) A197, 454 (1949).

R. S. Longhurst, Geometrical and Physical Optics (John Wiley & Sons, Inc., New York, 1957), p. 288.

G. L. Rogers, Proc. Roy. Soc. Edinburgh A63, 313 (1952).

G. W. Stroke and D. G. Falconer, Proceedings of the Symposium on Optical and Electro-optical Information Processing (MIT Press, Cambridge, Massachusetts, 1964).

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