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Applied Optics

Applied Optics


  • Vol. 20, Iss. 11 — Jun. 1, 1981
  • pp: 2026–2031

Holographic analysis of dispersive pupils in space–time optics

J. Calatroni and J. C. Viénot  »View Author Affiliations

Applied Optics, Vol. 20, Issue 11, pp. 2026-2031 (1981)

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Extension of space–time optics to objects whose transparency is a function of the temporal frequency ν = c/λ is examined. Considering the effects of such stationary pupils on white light waves, they are called temporal pupils. It is shown that simultaneous encoding both in the space and time frequency domains is required to record pupil parameters. The space–time impulse response and transfer functions are calculated for a dispersive nonabsorbent material. An experimental method providing holographic recording of the dispersion curve of any transparent material is presented.

© 1981 Optical Society of America

Original Manuscript: June 23, 1980
Published: June 1, 1981

J. Calatroni and J. C. Viénot, "Holographic analysis of dispersive pupils in space–time optics," Appl. Opt. 20, 2026-2031 (1981)

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  1. J. C. Viénot, J. P. Goedgebuer, A. Lacourt, Appl. Opt. 16, 454 (1977). [CrossRef] [PubMed]
  2. C. Frohely, A. Lacourt, J. C. Viénot, Nouv. Rev. Opt. 4, 183 (1973). [CrossRef]
  3. η is considered as a constant in order to neglect the dispersion of the pupil.
  4. J. P. Goedgebuer, A. Lacourt, J. C. Viénot, Opt. Commun. 16, 99 (1976). [CrossRef]
  5. Obviously a transparent and nondispersive pupil has a ν dependent transparency function exp[j2π(ν/c)ne(x)]; but the delay does not depend on ν.
  6. Although a geometrical transverse pupil has a ν-independent transparency function, the spectrum of a white light wave is filtered by diffraction on g(x); the diffraction process is ν-dependent and responsible for chromatic encoding of g(x).
  7. J. Calatroni, Opt. Commun. 19, 49 (1976). [CrossRef]
  8. In fact a quadratic phase factor should be present in Eq. (13), but it has no effect on the amplitude distribution at the x′ and x″ planes.
  9. H. Bouasse, Z. Carrière, Interferences (Delagrave Ed., Paris, 1923).

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