OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 12, Iss. 24 — Nov. 29, 2004
  • pp: 5887–5895

Optical tests with Bessel beam interferometry

Mathieu Fortin, Michel Piché, and Ermanno F. Borra  »View Author Affiliations


Optics Express, Vol. 12, Issue 24, pp. 5887-5895 (2004)
http://dx.doi.org/10.1364/OPEX.12.005887


View Full Text Article

Enhanced HTML    Acrobat PDF (247 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

In this paper we demonstrate how Bessel beam interferometry can be used to characterize the curvature of a reflecting surface. The approach is based on the fact that the intensity distribution produced by the coherent superposition of Bessel beams is a sensitive function of the relative phases between the constituting beams. We show how this phase sensitivity can translate into accurate measurements of the curvature of a wavefront. Experimental tests were made with a liquid mirror. We have also used Bessel beams to measure the precession angle of the liquid mirror. Our results show that Bessel beam interferometry is a very accurate tool for the optical testing of non-stationary surfaces and that it could be used as a general method of real-time, non-contact sensing. Bessel beam interferometry has the advantage of not requiring any reference arm that needs to be stabilized.

© 2004 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(070.2590) Fourier optics and signal processing : ABCD transforms
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(230.4040) Optical devices : Mirrors
(240.6700) Optics at surfaces : Surfaces
(350.1260) Other areas of optics : Astronomical optics

ToC Category:
Research Papers

History
Original Manuscript: October 18, 2004
Revised Manuscript: November 11, 2004
Published: November 29, 2004

Citation
Mathieu Fortin, Michel Piché, and Ermanno Borra, "Optical tests with Bessel beam interferometry," Opt. Express 12, 5887-5895 (2004)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-12-24-5887


Sort:  Journal  |  Reset  

References

  1. J. Durnin, �??Exact solutions for nondiffracting beams. I. The scalar theory,�?? J. Opt. Soc. Am. A 4, 651-654 (1986). [CrossRef]
  2. J. Durnin, J.J. Miceli, Jr. and J.H. Eberly, �??Diffraction-Free Beams,�?? Phys. Rev. Lett. 58, 1499-1501 (1987). [CrossRef] [PubMed]
  3. S. Fujiwara, �??Optical properties of conic surfaces. I. Reflecting cone,�?? J. Opt. Soc. 52, 287-292 (1962). [CrossRef]
  4. A. Vasara, J. Turunen, and A. T. Friberg, �??Holographic generation of diffraction-free beams,�?? Appl. Opt. 27, 3959-3962 (1988). [CrossRef] [PubMed]
  5. L. Niggel, T. Lanz, and M. Maier, �??Properties of Bessel beams generated by periodic grating of circular symmetry,�?? J. Opt. Soc. Am. A 14, 27-33 (1997). [CrossRef]
  6. P.L. Overfelt and C.S. Kenney, �??Comparison of the propagation characteristics of Bessel, Bessel-Gauss, and Gaussian beams diffracted by a circular aperture,�?? J. Opt. Soc. Am. A 8, 732-745 (1991). [CrossRef]
  7. R.M. Herman and T.A. Wiggins, �??Production and uses of diffractionless beams,�?? J. Opt. Soc. Am. A 8, 932-942 (1991). [CrossRef]
  8. V. Magni, �??Optimum beams for efficient frequency mixing in crystals with second order nonlinearity,�?? Opt. Commun. 184, 245-255 (2000). [CrossRef]
  9. G. Gadonas, V. Jarutis, R. Paskauskas, V. Smilgevicius, A. Stabinis, and V. Vaicaitis, �??Self-action of Bessel beam in nonlinear medium,�?? Opt. Commun. 196, 309-316 (2001). [CrossRef]
  10. C. Conti and S. Trillo, �??X waves generated at the second harmonic,�?? Opt. Lett. 28, 1251-1253 (2003). [CrossRef] [PubMed]
  11. M. Florjanczyk and R. Tremblay, �??Guiding of atoms in a travelling-wave laser traps formed by the axicon,�?? Opt. Commun. 73, 448-451 (1989). [CrossRef]
  12. V. Garces-Chavez, , H. Melville, W. Sibbett, and K. Dholakia, �??Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam,�?? Nature 419, 145-147 (2002). [CrossRef] [PubMed]
  13. D. McGloin, V. Garces-Chavez, D and K. Dholakia, �??Interfering Bessel beams for optical micromanipulation,�?? Opt. Lett. 28, 657-659 (2003). [CrossRef] [PubMed]
  14. Z. Ding, H. Ren, Y. Zhao, J. S. Nelson, and Z. Chen, �??High-resolution optical coherence tomography over a large depth range with an axicon lens,�?? Opt. Lett. 27, 243-245 (2002). [CrossRef]
  15. J. Amako, D. Sawaki, and E. Fujii, �??Microstructuring transparent materials by use of nondiffracting ultrashort pulse beams generated by diffractive optics,�?? J. Opt. Soc. Am. B 20, 2562-2568 (2003). [CrossRef]
  16. A. Marcinkevicius, S. Juodkazis, V. Mizeikis, S. Matsuo, and H. Misawa, �??Application of femtosecond Bessel-Gauss beam in microstructuring of transparent materials,�?? Proc. SPIE 4271, 150-157 (2001). [CrossRef]
  17. B. Bélanger, X. Zhu, et M. Piché, �??Auto-imagerie à l�??aide de faisceaux non-diffractants,�?? Phys. Can. 52, 160-161 (1996).
  18. W. D. Montgomery, �??Self-imaging objects of infinite aperture,�?? J. Opt. Soc. Am. 57, 772-778 (1967). [CrossRef]
  19. S. Chavez-Cerda, M.A. Meneses-Nava, and J. M. Hickmann, �??Interference of traveling nondiffracting beams,�?? Opt. Lett. 23, 1871-1873 (1998). [CrossRef]
  20. A. E. Siegman, Lasers, chapters 15 and 20. (University Science Books, Mill Valley, 1986).
  21. E. F. Borra, �??The liquid-mirror telescope as a viable astronomical tool,�?? Astron. Soc. Can. 76, 245-256 (1982).
  22. E. F. Borra, �??Liquid mirrors,�?? Can. J. Phys. 73, 109-125 (1995). [CrossRef]
  23. E. F. Borra, R. Content, L. Girard, S. Szapiel, L. M. Tremblay, and E. Boily, "Liquid mirrors: optical shop tests and contributions to the technology," Astrophys. J. 393, 829-847 (1992) [CrossRef]
  24. L. Girard and E. F. Borra, �??Optical tests of a 2.5-m-diameter liquid mirror: behavior under external perturbations and scattered light measurements,�?? Appl. Opt. 36, 25, 6278-6288 (1997). [CrossRef]
  25. G. Tremblay and E. F. Borra, �??Optical Tests of a 3.7-m-diameter liquid mirror: behavior under external perturbations,�?? Appl. Opt. 39, 5651-5662 (2000). [CrossRef]
  26. R. J. Sica, S. Sargoytchev, E. F. Borra, L. Girard, S. Argall, C.T. Sarrow, and S. Flatt, �??Lidar measurements taken with a large aperture liquid mirror:1.The Rayleigh-scatter system,�?? Appl. Opt., 34, 6925-6936 (1995). [CrossRef] [PubMed]
  27. P. Hickson and M. Mulrooney, University of British Columbia-NASA Multi-Narrowband Survey. I. Description and photometric properties of the survey,�?? Astrophys. J. Suppl. 115, 35-42 (1998). [CrossRef]
  28. R. Cabanac, E. F. Borra, and M. Beauchemin, �??A search for peculiar objects with the NASA orbital debris observatory 3-m liquid mirror Telescope,�?? Astrophys. J. 509, 309-323, (1998). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited