A New Millimeter Wave Geometric Phase Demonstration

  • G. F. Brand


In this paper we compare two ways of achieving geometrical phase changes in millimeter-wave systems. The first involves the conversion between linear and circular polarizations in a waveguide; the second the conversion between Hermite-Gaussian and Laguerre-Gaussian modes in a quasioptical arrangement. The two ways are demonstrated using a minimum number of specialized waveguide and quasioptical components.

geometric phase millimeter waves Hermite-Gaussian Laguerre-Gaussian phase singularities quasioptical 


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  1. 1.
    A.G. Fox, An adjustable wave-guide phase changer, Proc. I.R.E. 35(12) 1489 (1947).Google Scholar
  2. 2.
    for example, M. Born and E. Wolf, “Principles of Optics” 6th edition, (Pergamon, Oxford, UK, 1980) pp30–2.Google Scholar
  3. 3.
    G.F. Brand, A millimeter-wave geometric phase interferometer Int. J. Infrared Millimeter Waves 18(9) 1655–1662 (1997).Google Scholar
  4. 4.
    for example, R.W. Ditchburn, “Light”, (Blackie and Sons Ltd, Glasgow, UK, 1952) pp337–8.Google Scholar
  5. 5.
    M.J. Padgett and J. Courtail, Poincare-sphere equivalent for light beams containing orbital angular momentum, Optics Lett. 24(7) 430–432 (1999).Google Scholar
  6. 6.
    H. Kogelnik and T. Li, Laser beams and resonators, Appl. Optics 5(10) 1550–1567 (1966).Google Scholar
  7. 7.
    P.R. Goldsmith, “Quasioptical Systems”, (IEEE Press, NY, 1998) chap. 2.Google Scholar
  8. 8.
    A.E. Siegman, “Lasers” (University Science Books, Mill Valley, California. 1986) p 685.Google Scholar
  9. 9.
    M.W. Beijersbergen, L. Allen, H.E.L.O van der Veen and J.P. Woerdman, Astigmatic laser mode converters and transfer of orbital angular momentum, Opt. Commun. 96(1,2,3) 123–132 (1993).Google Scholar
  10. 10.
    M. Padgett, J. Arit, N. Simpson and L. Allen, An experiment to observe the intensity and phase structure of Laguerre-Gaussian laser modes, Am. J. Phys 64(1) 77–82 (1996).Google Scholar
  11. 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).Google Scholar
  12. 12.
    G.F. Brand, Phase singularities in beams, Am. J. Phys 67(1) 55–60 (1999).Google Scholar
  13. 13.
    J. Courtail, K. Dholakia, D.A. Robertson, L. Allen and M.J. Padgett, Measurement of the rotational frequency shift imparted to a rotating light beam possessing orbital angular momentum, Phys. Rev. Lett. 80(15) 3217–3219 (1998).Google Scholar

Copyright information

© Plenum Publishing Corporation 2000

Authors and Affiliations

  • G. F. Brand
    • 1
  1. 1.School of PhysicsUniversity of SydneyAustralia

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