Measuring the azimuthal and radial indexes of Laguerre-Gaussian beams

Abstract

A new pattern of mask for probing the azimuthal and radial indexes of Laguerre-Gaussian (LG) beams is presented. The analysis formula describing the intensity distribution of Laguerre-Gaussian beams after passing through the mask is derived. Based on this formula, the intensity patterns for different azimuthal and radial indexes are obtained via numerical simulations. It’s indicated that for each pair of azimuthal and radial indexes, there is a defined intensity pattern in the observed plane, according to which the azimuthal and radial indexes can be measured. Using this method, the communication systems with large capacity can be achieved, which are encoded by the azimuthal and radial indexes of Laguerre-Gaussian beams simultaneously.

Keywords

Orbital Angular Momentum / Intensity Pattern / Azimuthal Index / Radial Index / Receiver Plane

References

[1] AllenL., BeijersbergenM., SpreeuwR.. Phys. Rev. A, 1992, 45: 8185

[2] WuF.-y., WangY.-g., XuJ.-b.. Optoelectronics Lett., 2007, 3: 477

[3] MairA., VaziriA., WeihsG.. Nature, 2001, 412: 313

[4] WangT., PuJ.-x., ChenZ.-y.. Optoelectronics Lett., 2009, 5: 77

[5] GibsonG., CourtialJ., PadgettM.J.. Opt. Exp., 2004, 12: 5448

[6] WuF., zengX., ChenY., GuoD.. Journal of Optoelectronics • Laser, 2008, 19: 263

[7] AnguitaJ., NeifeldM., VasicB.. Appl. Opt., 2008, 47: 2414

[8] OhtakeY., AndoT., FukuchiN.. Opt. Lett., 2007, 32: 1411

[9] SuedaK., MiyajiG., MiyanagaN.. Opt. Exp., 2004, 12: 3548

[10] GonzalezN., Molina-TerrizaG., TorresJ.P.. Opt. Exp., 2006, 14: 9093

[11] TornerL., TorresJ., CarrascoS.. Optics Express, 2005, 13: 873

[12] Graham Gibson I, Courtial J and Vasnetsov M, Proc. SPIE, 367 (2004).

[13] LiuY.D., GaoC.Q., GaoM.W.. Opt. Comm., 2008, 281: 3636

[14] PadgettM.. Complex Mediums V: Light and Complexity, 2004, 5508: 1

[15] SztulH.I., AlfanoR.R.. Opt. Lett., 2006, 31: 999

[16] GregoriusC. G., Berkhout, BeijersbergenM.W.. Phys. Rev. Lett., 2008, 101: 1

[17] BogushA., ElkinsR. G.Jr.. IEEE Transactions on Antennas and Propagation, 1986, 34: 228

[18] Gradshteyn I and Ryzhik, Table of Integrals, Series and Products, 7Ed., Elsevier, 2007.