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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 27, Iss. 9 — May. 1, 1988
  • pp: 1825–1832

Minkowski diagram in relativity and holography

Nils Abramson  »View Author Affiliations


Applied Optics, Vol. 27, Issue 9, pp. 1825-1832 (1988)
http://dx.doi.org/10.1364/AO.27.001825


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Abstract

Now that ultrashort laser pulses can be used in holography, the temporal and spatial resolution approach the same order of magnitude. In that case the limited speed of light sometimes causes large measuring errors if correction methods are not introduced. Therefore, we want to revive the Minkowski diagram, which was invented in 1908 to visualize relativistic relations between time and space. We show how this diagram in a modified form can be used to derive both the static holodiagram, used for conventional holography, including ultrahigh-speed recordings of wavefronts, and a dynamic holodiagram used for studying the apparent distortions of objects recorded at relativistic speeds.

© 1988 Optical Society of America

History
Original Manuscript: July 8, 1987
Published: May 1, 1988

Citation
Nils Abramson, "Minkowski diagram in relativity and holography," Appl. Opt. 27, 1825-1832 (1988)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-27-9-1825


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References

  1. N. Abramson, The Making and Evaluation of Holograms (Academic, London, 1981), pp. 28, 110, 144, and 197.
  2. N. Abramson, “Light-in-Flight Recording. 3: Compensation for Optical Relativistic Effects,” Appl Opt. 23, 4007 (1984). [CrossRef] [PubMed]
  3. N. Abramson, “Light-in-Flight Recording. 4: Visualizing Optical Relativistic Phenomena,” Appl. Opt. 24, 3323 (1985). [CrossRef] [PubMed]
  4. A. Einstein, The Meaning of Relativity (Methuer & Co LTD, 1950), p. 36.
  5. A. Einstein et al., The Principle of Relativity (Dover, New York, 1952), p. 73.
  6. N. Abramson, “Light-in-Flight Recording: High-Speed Holographic Motion Picture of Ultrafast Phenomena,” Appl. Opt. 22, 215 (1983). [CrossRef] [PubMed]
  7. R. Bhandari, “Visual Appearance of a Moving Vertical Line,” Am. J. Phys. 38, 1200 (1970). [CrossRef]
  8. J. Terell, “Invisibility of the Lorentz Contraction,” Phys. Rev. 116, 1041 (1959). [CrossRef]
  9. P. M. Mathews, M. Lakshmanan, “On the Apparent Visual Forms of Relativistically Moving Objects,” I1 Nuovo Cimento 12, 168 (1972).
  10. G. D. Scott, H. J. van Driel, “Geometrical Appearances at Relativistic Speeds,” Am. J. Phys. 38, 971 (1970). [CrossRef]

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