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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 15 — May. 20, 2012
  • pp: 2902–2908

Observation of the Gouy phase anomaly in astigmatic beams

Jannick P. Rolland, Kevin P. Thompson, Kye-Sung Lee, John Tamkin, Jr., Tobias Schmid, and Emil Wolf  »View Author Affiliations


Applied Optics, Vol. 51, Issue 15, pp. 2902-2908 (2012)
http://dx.doi.org/10.1364/AO.51.002902


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Abstract

The Gouy phase anomaly, well established for stigmatic beams, is validated here for astigmatic beams. We simulate the predicted Gouy phase anomaly near astigmatic foci using a beam propagation algorithm integrated within lens design software. We then compare computational results with experimental data acquired using a modified Mertz–Sagnac interferometer. Both in simulation and in experiment, results show that a π / 2 -phase change occurs as the beam passes through each of the astigmatic foci, experimentally validating results derived in a recent paper by Visser and Wolf [Opt. Commun. 283, 3371–3375 (2010)].

© 2012 Optical Society of America

OCIS Codes
(080.0080) Geometric optics : Geometric optics
(220.0220) Optical design and fabrication : Optical design and fabrication
(260.0260) Physical optics : Physical optics

ToC Category:
Geometric Optics

History
Original Manuscript: March 6, 2012
Manuscript Accepted: April 5, 2012
Published: May 16, 2012

Citation
Jannick P. Rolland, Kevin P. Thompson, Kye-Sung Lee, John Tamkin, Tobias Schmid, and Emil Wolf, "Observation of the Gouy phase anomaly in astigmatic beams," Appl. Opt. 51, 2902-2908 (2012)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-51-15-2902


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References

  1. L. G. Gouy, “Sur une propriété nouvelle des ondes,” C. R. Acad. Sci. 110, 1251–1253 (1890).
  2. L. G. Gouy, “Sur la propagation anomale des ondes,” C. R. Acad. Sci. 111, 33–40 (1890) [appears under the same author and title in Ann. Chim. Phys. 24, 145 6e series (1891)].
  3. T. D. Visser, E. Wolf, “The origin of the Gouy phase anomaly and its generalization to astigmatic wavefields,” Opt. Commun. 283, 3371–3375 (2010). [CrossRef]
  4. D. W. Diehl, T. D. Visser, “Phase singularities of the longitudinal field components in the focal region of a high-aperture optical system,” J. Opt. Soc. Am. A 21, 2103–2108 (2004). [CrossRef]
  5. J. Walker, The Analytical Theory of Light (Cambridge University, 1904), pp. 91–93.
  6. M. W. Beijersbergen, L. Allen, H. E. L. O. van der Veer, J. P. Woerdman, “Astigmatic laser mode converters and transfer of angular momentum,” Opt. Commun. 96, 123–132 (1993). [CrossRef]
  7. L. Mertz, “A new demonstration of the anomalous phase change of light at a focus,” J. Opt. Soc. Am. 49, iv (1959).
  8. G. Sagnac, “Intérferomètre à faisceaux lumineux superposés inverses donnant en lumière blanche polarisée une frange central étroite à teinte sensible et des franges colorées étroites à intervalles blancs,” C. R. Acad. Sci. 150, 1676–1680 (1910).
  9. G. Sagnac, “Luminous ether demonstrated by the effect of relative wind of ether in a uniform rotation of an interferometer,” C. R. Acad. Sci. 157, 708–710 (1913).
  10. L. Silberstein, “The propagation of light in rotating systems,” J. Opt. Soc. Am. 5, 291–307 (1921). [CrossRef]

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