Partially Coherent Axial Line Images Produced by Generalized Axicons

  • Ari T. Friberg
  • Sergei Yu. Popov
Conference paper


Methods that generate desired forms of the longitudinal distribution of optical wave fields are currently a topic of considerable interest.1 Examples of useful intensity profiles showing good transverse definition are the nondiffracting Bessel beams and the various focal line images produced in coherent light by the generalized axicons2 (computer-generated holograms). Often fairly incoherent radiation (from thermal, nonlaser sources) or controlled, spatially partially coherent radiation (such as Gaussian Schell-model beams) is used. This leads to effects of longitudinal partial coherence with applications in interferometric measurements.1 Illumination with light of a reduced degree of spatial coherence evidently modifies both the longitudinal and transverse intensity and coherence profiles of the axicon images. In homogeneously partially coherent light a linear diffractive axicon, for instance, yields an extended nearly uniform axial line image.3


Spatial Coherence Coherent Light Focal Line Transverse Intensity Incoherent Radiation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. 1.
    J. Rosen and A. Yariv, Opt. Lett. 19: 843 (1994)Google Scholar
  2. J. Rosen and A. Yariv, Opt. Commun. 117: 8 (1995).Google Scholar
  3. 2.
    J. Sochacki et al, Appl. Opt. 31: 5326 (1992)Google Scholar
  4. Z. Jaroszewicz et al, Opt. Lett. 18: 1893 (1993).Google Scholar
  5. 3.
    S.Yu. Popov and A.T. Friberg, Opt. Eng. (in press, 1995).Google Scholar
  6. 4.
    A.T. Friberg and S.Yu. Popov, in “Diffractive Optics,” Vol. 11, OSA Tech. Digest (1994).Google Scholar
  7. 5.
    A. Vasara, J. Turunen, and A.T. Friberg, J. Opt. Soc. Am. A 6: 1748 (1989).Google Scholar
  8. 6.
    J.T. Foley and E. Wolf, J. Mod. Opt. 42: 1893 (1995)MathSciNetGoogle Scholar
  9. T. Jannson and I. Tengara, in. Tengara, in “Tenth Symposium on Energy Engineering Sciences,” Argonne Natl. Lab., Chicago (1992).Google Scholar
  10. 7.
    E. Wolf, Opt. Leu. 19: 2024 (1994).Google Scholar
  11. 8.
    R.C. Fairchild and J.R. Fienup, Opt. Eng. 21: 133 (1982).Google Scholar

Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Ari T. Friberg
    • 1
  • Sergei Yu. Popov
    • 1
  1. 1.Department of Technical PhysicsHelsinki University of TechnologyEspooFinland

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