Measurement of Fractional Optical Vortex by a Ring-Type Multi-Pinhole Interferometer

Abstract:

We presented a method for measuring the topological charge of a Fractional optical vortex (FOV) by a ring-type multi-pinhole interferometer (RMPI). We retrieved the sampled phase of the FOV passing through a ring-type multi-pinhole plate from the Fourier transform of a single far-field diffraction intensity pattern, and found the phase of FOV around the center approximately be linear with the azimuthal angle, the slope of the phase to the azimuthal angle at the linear part is equal to the topological charge of the FOV. Thus we proposed a method for measuring the l state and determining orbital angular momentum (OAM) of a FOV based on the property.

• Periodical: Advanced Materials Research (Volumes 433-440)
• Pages: 6339-6344
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.433-440.6339
• Online since: January 2012
• Authors: Gong Xiang Wei, Yun Yan Liu, Sheng Gui Fu, Ping Wang
• Keywords: Fractional Optical Vortices, Interferometer, Orbital Angular Momentum

References

[1] 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, Physical Review A，vol. 45, pp.8185-8189, June (1992).

DOI: 10.1103/physreva.45.8185

[2] A. Vaziri, J. Pan, T. Jennewein, G. Weihs, and A. Zeilinger, Concentration of Higher Dimensional Entanglement: Qutrits of Photon Orbital Angular Momentum, Physical Review Letters, vol. 91, pp.227902-227905, November (2003).

DOI: 10.1103/physrevlett.91.227902

[3] A. Aiello, S. S. R. Oemrawsingh, E. R. Eliel, and J. P. Woerdman, Nonlocality of high-dimensional two-photon orbital angular momentum states, Physical Review A, vol. 72, pp.52114-52117, November (2005).

DOI: 10.1103/physreva.72.052114

[4] A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, Entanglement of the orbital angular momentum states of photons, Nature, vol. 412, pp.313-316, July (2001).

DOI: 10.1038/35085529

[5] G. Gibson, J. Courtial, M. Padgett, M. Vasnetsov, V. Pas'ko, S. Barnett, and S. Franke-Arnold, Free-space information transfer using light beams carrying orbital angular momentum, Optics Express, vol. 12, pp.5448-5456, November (2004).

DOI: 10.1364/opex.12.005448

[6] J. E. Curtis and B. A. Koss and D. G. Grier, Dynamic holographic optical tweezers, Optics Communications, vol. 207, pp.169-175, June (2002).

DOI: 10.1016/s0030-4018(02)01524-9

[7] K. Ladavac and D. Grier, Microoptomechanical pumps assembled and driven by holographic optical vortex arrays, Optics Express, vol. 12, pp.1144-1149, March (2004).

DOI: 10.1364/opex.12.001144

[8] H. Martin , Photon Orbital Angular Momentum in Astrophysics, , Astrophysical J., vol. 597, pp.1266-1285, July (2003).

[9] G. Anzolin, F. Tamburini, A. Bianchini, G. Umbriaco, and C. Barbieri, Optical vortices with starlight, Astronomy & Astrophysics, vol. 488, pp.1159-1165, September (2008).

DOI: 10.1051/0004-6361:200810469

[10] M. Harris, C. A. Hill, P. R. Tapster, and J. M. Vaughan, Laser modes with helical wave fronts , Physics Review A, vol. 49, pp.3119-3122, April (1994).

DOI: 10.1103/physreva.49.3119

[11] J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, and J. Courtial, Measuring the Orbital Angular Momentum of a Single Photon, Physical Review Letters, vol. 88, pp.257901-4. June (2002).

DOI: 10.1103/physrevlett.88.257901

[12] J. Leach, J. Courtial, K. Skeldon, S. M. Barnett, S. Franke-Arnold, and M. J. Padgett, Interferometric Methods to Measure Orbital and Spin, or the Total Angular Momentum of a Single Photon, Physical Review Letters, vol. 92, pp.013601-4, January (2004).

DOI: 10.1103/physrevlett.92.013601

[13] S. Tao, X. Yuan, J. Lin, X. Peng, and H. Niu, Fractional optical vortex beam induced rotation of particles, Optics Express, vol. 13, pp.7726-7731, September (2005).

DOI: 10.1364/opex.13.007726

[14] C. Guo and S. Yue and G. Wei, Measuring the orbital angular momentum of optical vortices using a multipinhole plate, Applied Physics Letters, vol. 94, pp.231104-3. June (2009).

DOI: 10.1063/1.3151920

[15] J. Leach and E. Yao and M. J. Padgett, Observation of the vortex structure of a non-integer vortex beam, New Journal of Physics, vol. 6, p.71, July (2004).

DOI: 10.1088/1367-2630/6/1/071

[16] G. C. G. Berkhout and M. W. Beijersbergen, Method for Probing the Orbital Angular Momentum of Optical Vortices in Electromagnetic Waves from Astronomical Objects, Physical Review Letters, vol. 101, pp.100801-4, September (2008).

DOI: 10.1103/physrevlett.101.100801

[17] J. Miao, T. Ishikawa, E. H. Anderson, and K. O. Hodgson, Phase retrieval of diffraction patterns from noncrystalline samples using the oversampling method, Physical Review B, vol. 67, pp.174104-6, May (2003).

DOI: 10.1103/physrevb.67.174104

[18] J. C. H. Spence and M. R. Howells, Coherent Diffractive Imaging with X-rays and Electrons, AIP Conf. Proc. Eighth International Conference on Synchrotron Radiation Instrumentation, AIP Conf. Proc., May 2004, pp.1372-1375.

DOI: 10.1063/1.1758057