Skip to main content

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 91))

  • 232 Accesses

Abstract

In this paper we show how diffraction gratings with defects can generate beams with phase singularities, present an analysis of the phenomenon and discuss some applications. These beams and their effects have been studied at optical and at millimetre wavelengths. We describe a particularly efficient way of generating these beams at millimetre wavelengths employing a blazed grating with a defect.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. N.R. Heckenberg, R. McDuff, C.P. Smith and A.G. White, Generation of optical phase singularities by computer-generated holograms, Opt. Lett. 17(3):221–223 (1992).

    Article  ADS  Google Scholar 

  2. I.V. Basistiy, V.Yu Bazhenov, M.S. Soskin and M.V. Vasnetsov, Optics of light beams with screw dislocations, Opt. Commun. 103(5,6):422–428 (1993).

    Article  ADS  Google Scholar 

  3. I.V. Basistiy, M.S. Soskin and M.V. Vasnetsov, Optical wavefront dislocations and their properties, Opt. Commun. 119(5,6):604–612 (1995).

    Article  ADS  Google Scholar 

  4. H. Kogelnik and T. Li, Laser beams and resonators, Appl. Optics 5(10): 1550–1567 (1966).

    Article  ADS  Google Scholar 

  5. L. Allen, M.W. Beijersbergen, R.J.C. Spreeuw and J.P. Woerdman, Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes, Phys. Rev. A 45(11):8185–8189 (1992).

    Article  ADS  Google Scholar 

  6. V. Yu. Bazhenov, M.V. Vasnetsov and M.S. Soskin, Laser beams with screw dislocations in their wavefronts, JETP Lett. 52(8):429–431 (1990).

    ADS  Google Scholar 

  7. A.G. White, C.P. Smith, N.R. Heckenberg, H. Rubinsztein-Dunlop, R. McDuff, C.O. Weiss and CHR Tamm, Interferometric measurements of phase singularities in the output of a visible laser, J. Mod. Opt. 38:2531–2541 (1991).

    Article  ADS  Google Scholar 

  8. V. Yu. Bazhenov, M.S. Soskin and M.V. Vasnetsov, Screw dislocations in light wavefronts, J. Mod. Opt. 39(5):985–990 (1992).

    Article  ADS  Google Scholar 

  9. G.A. Turnbull, D.A. Robertson, G.M. Smith, L. Allen and M.J. Padgett, The generation of free-space Laguerre-Gaussian modes at millimetre-wave frequencies by use of a spiral phaseplate Opt. Commun. 127(4,5,6):183–188 (1996).

    Article  ADS  Google Scholar 

  10. G.F. Brand, Generation of millimetre-wave beams with phase singularities, J. Mod. Opt. 44(6): 1243–1248 (1997).

    Article  ADS  Google Scholar 

  11. G.F. Brand, The generation of phase singularities at millimetre wavelengths by the use of a blazed grating, J. Mod. Opt. 45(1):215–220 (1998).

    Article  ADS  Google Scholar 

  12. G.F. Brand, Millimeter-wave beams with phase singularities, IEEE Trans. Microwave Theory Tech. 46: 948–951 (1998).

    Article  ADS  Google Scholar 

  13. G.F. Brand, Phase singularities in beams, Am. J. Phys. 67:55–60 (1999).

    Article  ADS  Google Scholar 

  14. G.W. Chantry, H.M. Evans, J.W. Fleming and H. Gebbie, TPX, a new material for optical components in the far infra-red spectral region, Infrared Phys. 9(1):31–33 (1969).

    Article  ADS  Google Scholar 

  15. M.V. Klein, Optics (John Wiley and Sons, New York, 1970) p. 423.

    Google Scholar 

  16. H. He, N.R. Heckenberg and H. Rubinsztein-Dunlop, Optical particle trapping with highorder doughnut beams produced using high efficiency computer generated holograms, J. Mod. Opt. 42(1):217–223 (1995).

    Article  ADS  Google Scholar 

  17. M.W. Beijersbergen, R.P.C. Coerwinkel, M. Kristensen and J.P. Woerdman, Helical-wavefront laser beams produced with a spiral phaseplate, Opt. Commun. 112(5,6):321–327 (1994).

    Article  ADS  Google Scholar 

  18. M. Kristensen, M.W. Beijersbergen and J.P. Woerdman, Angular momentum and spinorbit coupling for microwave photons, Opt. Commun. 104(4,5,6):229–233 (1994).

    Article  ADS  Google Scholar 

  19. H. He, M.E.J. Friese, N.R. Heckenberg and H. Rubinsztein-Dunlop, Direct observation of transfer of angular momentum to absorptive particles from a laser beam with a phase singularity, Phys. Rev. Lett. 75(5):826–829 (1995).

    Article  ADS  Google Scholar 

  20. S.M. Block, Making light work with optical tweezers, Nature 360:493–495 (1992).

    Article  ADS  Google Scholar 

  21. N.B Simpson, L. Allen and M.J. Padgett, Optical tweezers and optical spanners with Laguerre-Gaussian modes, J. Mod. Opt. 43(12):2485–2491 (1996).

    Article  ADS  Google Scholar 

  22. G.F. Brand, Tunable Gyrotrons in Infrared and Millimeter Waves Vol 14, edited by K..J. Button (Academic Press, Orlando, Florida, 1985).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Kluwer Academic Publishers

About this paper

Cite this paper

Brand, G.F. (2001). Phase Singularities in Beams. In: IUTAM Symposium on Mechanical and Electromagnetic Waves in Structured Media. Solid Mechanics and Its Applications, vol 91. Springer, Dordrecht. https://doi.org/10.1007/0-306-46955-3_4

Download citation

  • DOI: https://doi.org/10.1007/0-306-46955-3_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-7038-3

  • Online ISBN: 978-0-306-46955-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics