Abstract

In holographic interferometry, there is usually a static distance separating the point of illumination and the point of observation. In Special Relativity, this separation is dynamic and is caused by the velocity of the observer. The corrections needed to compensate for these separations are similar in the two fields. We use the ellipsoids of the holodiagram for measurement and in a graphic way to explain and evaluate optical resolution, gated viewing, radar, holography, three-dimensional interferometry, Special Relativity, and light-in-flight recordings. Lorentz contraction together with time dilation is explained as the result of the eccentricity of the measuring ellipsoid, caused by its velocity. The extremely thin ellipsoid of the very first light appears as a beam aimed directly at the observer, which might explain the wave or ray duality of light and entanglement. Finally, we introduce the concept of ellipsoids of observation.

© 2014 Optical Society of America

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  1. N. Abramson, “The holo-diagram: a practical device for the making and evaluation of holograms,” Appl. Opt. 8, 1235–1240 (1969).
    [CrossRef]
  2. N. Abramson, “Moiré patterns and hologram interferometry,” Nature 231, 65–67 (1971).
  3. N. Cap, B. Ruiz, and H. Rabal, “Refraction holodiagrams and Snell’s law,” Optik 112, 555–560 (2001).
    [CrossRef]
  4. H. Rabal, N. Cap, K. Gottschalk, and M. Simon, “Holodiagrams in birefringent media,” Appl. Opt. 42, 5825–5830 (2003).
    [CrossRef]
  5. A. Michelson and E. Morley, “On the relative motion of the earth and the luminiferous ether,” Am. J. Sci. 34, 333–345 (1887).
    [CrossRef]
  6. A. Einstein, “On the electrodynamics of moving bodies,” Ann. Phys. 17, 891–921 (1905).
    [CrossRef]
  7. R. Feynman, Lectures on Physics (California Institute of Technology, 1963), Chap. 15.
  8. N. Abramson, J. Boman, and B. Bonnevier, “Plane intersections of rotational ellipsoids,” Am. Math. Mon. 113(4), 336–339 (2006).
    [CrossRef]
  9. N. Abramson, “Light-in-flight recording 4: visualizing optical relativistic phenomena,” Appl. Opt. 24, 3323–3329 (1985).
    [CrossRef]
  10. D. I. Staselko, Y. N. Denisyuk, and G. Smirnov, “Holographic registration of a picture of temporal coherence of a wave train of a pulse radiation source,” Opt. Spectrosc. 26, 413–420 (1969).
  11. Yu. Denisyuk, D. I. Staselko, and R. R. Herke, “On the effect on the time and spatial coherence of radiation source on the image produced by hologram,” presented at the International Symposium on Holography Applications, July1970; Nouv. Rev. Opt. Appl. 1, 4–5 (1970).
  12. N. Abramson, “Light-in-flight recording: high-speed holographic motion picture of ultrafast phenomena,” Appl. Opt. 22, 215–232 (1983).
    [CrossRef]
  13. N. Abramson, “Femtosecond imaging: motion picture of short pulses,” Nat. Photonics 5, 389–390 (2011).
    [CrossRef]
  14. N. Abramson, “Holographic metrology and basic physics,” in 9th International Symposium on Display Holography (ISDH 2012), Journal of Physics Conference Series, Vol. 415 (MIT, 2013), paper no. 012030.
  15. H. Minkowski, “Space and time,” in lecture delivered before the Congress of Natural Philosophers at Cologne, 21September1908.
  16. N. Abramson, “Minkowski diagram in relativity and holography,” Appl. Opt. 27, 1825–1832 (1988).
    [CrossRef]
  17. A. Bokulich and G. Jaeger, Philosophy of Quantum Information and Entanglement, xv ed. (Cambridge University, 2010).

2011 (1)

N. Abramson, “Femtosecond imaging: motion picture of short pulses,” Nat. Photonics 5, 389–390 (2011).
[CrossRef]

2006 (1)

N. Abramson, J. Boman, and B. Bonnevier, “Plane intersections of rotational ellipsoids,” Am. Math. Mon. 113(4), 336–339 (2006).
[CrossRef]

2003 (1)

2001 (1)

N. Cap, B. Ruiz, and H. Rabal, “Refraction holodiagrams and Snell’s law,” Optik 112, 555–560 (2001).
[CrossRef]

1988 (1)

1985 (1)

1983 (1)

1971 (1)

N. Abramson, “Moiré patterns and hologram interferometry,” Nature 231, 65–67 (1971).

1969 (2)

D. I. Staselko, Y. N. Denisyuk, and G. Smirnov, “Holographic registration of a picture of temporal coherence of a wave train of a pulse radiation source,” Opt. Spectrosc. 26, 413–420 (1969).

N. Abramson, “The holo-diagram: a practical device for the making and evaluation of holograms,” Appl. Opt. 8, 1235–1240 (1969).
[CrossRef]

1905 (1)

A. Einstein, “On the electrodynamics of moving bodies,” Ann. Phys. 17, 891–921 (1905).
[CrossRef]

1887 (1)

A. Michelson and E. Morley, “On the relative motion of the earth and the luminiferous ether,” Am. J. Sci. 34, 333–345 (1887).
[CrossRef]

Abramson, N.

N. Abramson, “Femtosecond imaging: motion picture of short pulses,” Nat. Photonics 5, 389–390 (2011).
[CrossRef]

N. Abramson, J. Boman, and B. Bonnevier, “Plane intersections of rotational ellipsoids,” Am. Math. Mon. 113(4), 336–339 (2006).
[CrossRef]

N. Abramson, “Minkowski diagram in relativity and holography,” Appl. Opt. 27, 1825–1832 (1988).
[CrossRef]

N. Abramson, “Light-in-flight recording 4: visualizing optical relativistic phenomena,” Appl. Opt. 24, 3323–3329 (1985).
[CrossRef]

N. Abramson, “Light-in-flight recording: high-speed holographic motion picture of ultrafast phenomena,” Appl. Opt. 22, 215–232 (1983).
[CrossRef]

N. Abramson, “Moiré patterns and hologram interferometry,” Nature 231, 65–67 (1971).

N. Abramson, “The holo-diagram: a practical device for the making and evaluation of holograms,” Appl. Opt. 8, 1235–1240 (1969).
[CrossRef]

N. Abramson, “Holographic metrology and basic physics,” in 9th International Symposium on Display Holography (ISDH 2012), Journal of Physics Conference Series, Vol. 415 (MIT, 2013), paper no. 012030.

Bokulich, A.

A. Bokulich and G. Jaeger, Philosophy of Quantum Information and Entanglement, xv ed. (Cambridge University, 2010).

Boman, J.

N. Abramson, J. Boman, and B. Bonnevier, “Plane intersections of rotational ellipsoids,” Am. Math. Mon. 113(4), 336–339 (2006).
[CrossRef]

Bonnevier, B.

N. Abramson, J. Boman, and B. Bonnevier, “Plane intersections of rotational ellipsoids,” Am. Math. Mon. 113(4), 336–339 (2006).
[CrossRef]

Cap, N.

H. Rabal, N. Cap, K. Gottschalk, and M. Simon, “Holodiagrams in birefringent media,” Appl. Opt. 42, 5825–5830 (2003).
[CrossRef]

N. Cap, B. Ruiz, and H. Rabal, “Refraction holodiagrams and Snell’s law,” Optik 112, 555–560 (2001).
[CrossRef]

Denisyuk, Y. N.

D. I. Staselko, Y. N. Denisyuk, and G. Smirnov, “Holographic registration of a picture of temporal coherence of a wave train of a pulse radiation source,” Opt. Spectrosc. 26, 413–420 (1969).

Denisyuk, Yu.

Yu. Denisyuk, D. I. Staselko, and R. R. Herke, “On the effect on the time and spatial coherence of radiation source on the image produced by hologram,” presented at the International Symposium on Holography Applications, July1970; Nouv. Rev. Opt. Appl. 1, 4–5 (1970).

Einstein, A.

A. Einstein, “On the electrodynamics of moving bodies,” Ann. Phys. 17, 891–921 (1905).
[CrossRef]

Feynman, R.

R. Feynman, Lectures on Physics (California Institute of Technology, 1963), Chap. 15.

Gottschalk, K.

Herke, R. R.

Yu. Denisyuk, D. I. Staselko, and R. R. Herke, “On the effect on the time and spatial coherence of radiation source on the image produced by hologram,” presented at the International Symposium on Holography Applications, July1970; Nouv. Rev. Opt. Appl. 1, 4–5 (1970).

Jaeger, G.

A. Bokulich and G. Jaeger, Philosophy of Quantum Information and Entanglement, xv ed. (Cambridge University, 2010).

Michelson, A.

A. Michelson and E. Morley, “On the relative motion of the earth and the luminiferous ether,” Am. J. Sci. 34, 333–345 (1887).
[CrossRef]

Minkowski, H.

H. Minkowski, “Space and time,” in lecture delivered before the Congress of Natural Philosophers at Cologne, 21September1908.

Morley, E.

A. Michelson and E. Morley, “On the relative motion of the earth and the luminiferous ether,” Am. J. Sci. 34, 333–345 (1887).
[CrossRef]

Rabal, H.

H. Rabal, N. Cap, K. Gottschalk, and M. Simon, “Holodiagrams in birefringent media,” Appl. Opt. 42, 5825–5830 (2003).
[CrossRef]

N. Cap, B. Ruiz, and H. Rabal, “Refraction holodiagrams and Snell’s law,” Optik 112, 555–560 (2001).
[CrossRef]

Ruiz, B.

N. Cap, B. Ruiz, and H. Rabal, “Refraction holodiagrams and Snell’s law,” Optik 112, 555–560 (2001).
[CrossRef]

Simon, M.

Smirnov, G.

D. I. Staselko, Y. N. Denisyuk, and G. Smirnov, “Holographic registration of a picture of temporal coherence of a wave train of a pulse radiation source,” Opt. Spectrosc. 26, 413–420 (1969).

Staselko, D. I.

D. I. Staselko, Y. N. Denisyuk, and G. Smirnov, “Holographic registration of a picture of temporal coherence of a wave train of a pulse radiation source,” Opt. Spectrosc. 26, 413–420 (1969).

Yu. Denisyuk, D. I. Staselko, and R. R. Herke, “On the effect on the time and spatial coherence of radiation source on the image produced by hologram,” presented at the International Symposium on Holography Applications, July1970; Nouv. Rev. Opt. Appl. 1, 4–5 (1970).

Am. J. Sci. (1)

A. Michelson and E. Morley, “On the relative motion of the earth and the luminiferous ether,” Am. J. Sci. 34, 333–345 (1887).
[CrossRef]

Am. Math. Mon. (1)

N. Abramson, J. Boman, and B. Bonnevier, “Plane intersections of rotational ellipsoids,” Am. Math. Mon. 113(4), 336–339 (2006).
[CrossRef]

Ann. Phys. (1)

A. Einstein, “On the electrodynamics of moving bodies,” Ann. Phys. 17, 891–921 (1905).
[CrossRef]

Appl. Opt. (5)

Nat. Photonics (1)

N. Abramson, “Femtosecond imaging: motion picture of short pulses,” Nat. Photonics 5, 389–390 (2011).
[CrossRef]

Nature (1)

N. Abramson, “Moiré patterns and hologram interferometry,” Nature 231, 65–67 (1971).

Opt. Spectrosc. (1)

D. I. Staselko, Y. N. Denisyuk, and G. Smirnov, “Holographic registration of a picture of temporal coherence of a wave train of a pulse radiation source,” Opt. Spectrosc. 26, 413–420 (1969).

Optik (1)

N. Cap, B. Ruiz, and H. Rabal, “Refraction holodiagrams and Snell’s law,” Optik 112, 555–560 (2001).
[CrossRef]

Other (5)

R. Feynman, Lectures on Physics (California Institute of Technology, 1963), Chap. 15.

N. Abramson, “Holographic metrology and basic physics,” in 9th International Symposium on Display Holography (ISDH 2012), Journal of Physics Conference Series, Vol. 415 (MIT, 2013), paper no. 012030.

H. Minkowski, “Space and time,” in lecture delivered before the Congress of Natural Philosophers at Cologne, 21September1908.

A. Bokulich and G. Jaeger, Philosophy of Quantum Information and Entanglement, xv ed. (Cambridge University, 2010).

Yu. Denisyuk, D. I. Staselko, and R. R. Herke, “On the effect on the time and spatial coherence of radiation source on the image produced by hologram,” presented at the International Symposium on Holography Applications, July1970; Nouv. Rev. Opt. Appl. 1, 4–5 (1970).

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