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Applied Optics

Applied Optics


  • Vol. 10, Iss. 5 — May. 1, 1971
  • pp: 1074–1079

Aberration Reduction in Acoustical Holography

D. C. Winter  »View Author Affiliations

Applied Optics, Vol. 10, Issue 5, pp. 1074-1079 (1971)

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This paper examines the aberrations in holographic systems characterized by a ratio of reconstruction wavelength to recording wavelength of the order of 10−3. The study is restricted to those systems using a plane reference beam and with the hologram scaled by a factor greater than the wavelength ratio. An inline hologram geometry is examined where the reconstruction beam is placed such that the image of a selected object point on the optical axis has zero aberrations. The aberrations for object points off axis then are calculated. For off-axis holograms, a technique for balancing spherical aberration and astigmatism has been modified to apply to scaled holograms. Some general rules for the optimum recording geometry are developed. The aberrations for the balanced off-axis system are calculated and compared to those of the in-line system.

© 1971 Optical Society of America

Original Manuscript: November 9, 1970
Published: May 1, 1971

D. C. Winter, "Aberration Reduction in Acoustical Holography," Appl. Opt. 10, 1074-1079 (1971)

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  1. E. N. Leith, J. Upatnieks, K. A. Haines, J. Opt. Soc. Amer. 55, 981 (1965).
  2. R. W. Meier, J. Opt. Soc. Amer. 55, 987 (1965).
  3. E. B. Champagne, J. Opt. Soc. Amer. 57, 51 (1967); E. B. Champagne, A Qualitative and Quantitative Study of Holographic Imaging, Ph.D. Thesis, Ohio State University, Ohio, July1967; University Microfilms, #67-10876). [CrossRef]
  4. A. F. Metherell, H. M. A. El-Sum, L. Larmore, Acoustical Holography (Plenum Press, New York, 1969), Vol. 1.
  5. A. F. Metherell, L. Larmore, Acoustical Holography, (Plenum Press, New York, 1970), Vol. 2. [CrossRef]
  6. We refer to M. Born, E. Wolf, Principles of Optics (Pergamon, New York, 1958), p. 204: “In ordinary instruments the wave aberrations may be as much as 40 or 50 wavelengths, but in instruments used for more precise work (such as astronomical telescopes or microscopes) they must be reduced to a much smaller value, only a fraction of a wavelength.”
  7. J. N. Latta, J. Opt. Soc. Amer. 60, 715A (1970).

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