Abstract content <br> (Max 300 words)
High order Bessel beams are characterized by the azimuthal mode index, ℓ and radial component, kr, as a result they carry orbital angular momentum (OAM) and their far-field forms an annular ring of radius, R .These beams form in a region where parallel plane waves interfere in a conical manner. A method of separating the azimuthal, ℓ and radial, kr components of the Bessel Beams using cylindrical lenses  and an efficient orbital angular momentum (OAM) sorter  optical system is illustrated here. A conformal mapping technique  was used to achieve the sorting of Bessel beams, where the annular ring (Fourier transform of a Bessel beam) was mapped to a linear phase variation along the horizontal direction. A series of cylindrical lenses simultaneously Fourier transformed the transverse momentum states and imaged the unraveled annular ring to a detector plane, where the position of the detected spot is dependent on the amount of OAM it carries and its radial wave vector.
 A. Dudlely, T. Mhlanga, M. Lavery, A. Mcdonald, F. Roux, M. Padgett, A. Forbes, “Efficient sorting of Bessel beams,”Opt.Express 21(1), 165-171, (2013)
Gregorius C. G. Berkhout, Martin P. J. Lavery, Marco W. Beijersbergen, Miles J. Padgett, “Efficient sorting of angular momentum of light,” *PhysRevLett.105 (16).153601 (2010)
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Main supervisor (name and email)<br>and his / her institution
A. Forbes, AForbes@csir.co.za, CSIR National Laser Centre, PO Box 395, Pretoria 0001, South Africa
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