Optical Measurements Using Bessel Beams

  • Brigitte Bélanger
  • Tigran Galstian
  • Xiaonong Zhu
  • Michel Piché


The characterization of optical beams generally involves interferometric instrumentation where, most often, a reference arm must be stabilized to a fraction of a wavelength. The classical methods of interferometry are well suited for the testing of optical components in clean, vibration-free laboratories. However it happens frequently that optical beams are used for sensing surface deformations in various industries; it turns out that, in most industrial environments, conditions are adverse to interferometric measurements. In this paper we describe an optical technique that provides a direct reading of the curvature of an optical wavefront without the requirement of interferometric stabilility. The physical principle behind the technique is the phase sensitivity of the interference pattern produced by copropagating Bessel beams. The technique is robust against vibrations since it does not involve any reference arm; however it yields global information about optical beams, and not pointlike information as do most interferometric instruments. The technique is also appropriate to the measurement of the nonlinear properties of optical materials. We recall that, in recent years, the optical characterization of various types of nonlinear materials has become a subject of growing importance due to the needs of photonic technology.


Liquid Crystal Phase Difference Propagation Distance Optical Beam Bessel Beam 
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  1. 1.
    J. Durnin. Exact solutions for nondiffracting beams. I. The scalar theory, J. Opt. Soc. Am. A-4, 651–654 (1987).CrossRefGoogle Scholar
  2. 2.
    J. Durnin, J. J. Miceli, Jr., and J. H. Eberly. Diffraction-free beams, Phys. Rev. Lett. 58, 1499–1501 (1987).CrossRefGoogle Scholar
  3. 3.
    G. Arfken. Mathematical Methods for Physicists, Third Edition, Academic Press, New York (1985).Google Scholar
  4. 4.
    W. D. Montgomery. Self-imaging objects of infinite aperture, J. Opt. Soc. Am. 57, 772–778 (1967).CrossRefGoogle Scholar
  5. 5.
    A. W. Lohmann, J. Ojeda — Castaneda, and N. Streibl. Spatial periodicities in coherent and partially coherent fields, Optica Acta 30, 1259–1266 (1983).CrossRefGoogle Scholar
  6. 6.
    G. Indebetouw. Propagation of spatially periodic wavefields, Optica Acta 31, 531–539 (1984).CrossRefGoogle Scholar
  7. 7.
    G. Indebetouw. Nondiffracting optical fields: some remarks on their analysis and ynthesis, J. Opt. Soc. Am. A-6, 150–152 (1989).CrossRefGoogle Scholar
  8. 8.
    Z. Jaroszewicz, A. Kolodziejczyk, A. Kujawski, and C. Gomez-Reino. Diffractive patterns of small cores generated by interference of Bessel beams, Opt. Lett. 21, 839–841 (1996).CrossRefGoogle Scholar
  9. 9.
    H. Sonajalg and P. Saari. Suppression of temporal spread of ultrashort pulses in dispersive media by Bessel beam generators, Opt. Lett. 21, 1162–1164 (1996).CrossRefGoogle Scholar
  10. 10.
    M. Sheik-Bahae, A. A. Said, T. W. Wei, D. J. Hagan, and E. W. Van Stryland. Sensitive measurement of optical nonlinearities using a single beam, IEEE J. Quantum Electron. QE-26, 760–769 (1990).CrossRefGoogle Scholar
  11. 11.
    T. Xia, D. J. Hagan, M. Sheik-Bahae, and E. W. Van Stryland. Eclipsing Z-scan measurement of λ/10 4 wave-front distortion, Opt. Lett. 19, 317–319 (1994).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Brigitte Bélanger
    • 1
  • Tigran Galstian
    • 1
  • Xiaonong Zhu
    • 1
  • Michel Piché
    • 1
  1. 1.Department of Physics, COPLUniversité LavalCité UniversitaireCanada

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