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Optical Measurements Using Bessel Beams

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Applications of Photonic Technology 2

Abstract

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.

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References

  1. J. Durnin. Exact solutions for nondiffracting beams. I. The scalar theory, J. Opt. Soc. Am. A-4, 651–654 (1987).

    Article  Google Scholar 

  2. J. Durnin, J. J. Miceli, Jr., and J. H. Eberly. Diffraction-free beams, Phys. Rev. Lett. 58, 1499–1501 (1987).

    Article  Google Scholar 

  3. G. Arfken. Mathematical Methods for Physicists, Third Edition, Academic Press, New York (1985).

    Google Scholar 

  4. W. D. Montgomery. Self-imaging objects of infinite aperture, J. Opt. Soc. Am. 57, 772–778 (1967).

    Article  Google Scholar 

  5. A. W. Lohmann, J. Ojeda — Castaneda, and N. Streibl. Spatial periodicities in coherent and partially coherent fields, Optica Acta 30, 1259–1266 (1983).

    Article  Google Scholar 

  6. G. Indebetouw. Propagation of spatially periodic wavefields, Optica Acta 31, 531–539 (1984).

    Article  Google Scholar 

  7. G. Indebetouw. Nondiffracting optical fields: some remarks on their analysis and ynthesis, J. Opt. Soc. Am. A-6, 150–152 (1989).

    Article  Google Scholar 

  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).

    Article  Google Scholar 

  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).

    Article  Google Scholar 

  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).

    Article  Google Scholar 

  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).

    Article  Google Scholar 

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© 1997 Springer Science+Business Media New York

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Bélanger, B., Galstian, T., Zhu, X., Piché, M. (1997). Optical Measurements Using Bessel Beams. In: Lampropoulos, G.A., Lessard, R.A. (eds) Applications of Photonic Technology 2. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9250-8_125

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  • DOI: https://doi.org/10.1007/978-1-4757-9250-8_125

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-9252-2

  • Online ISBN: 978-1-4757-9250-8

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