Abstract

The performance of LDPC-precoded, orbital-angular-momentum (OAM) modulation is studied over a 1-km free-space laser communication link subject to OAM modal crosstalk induced by atmospheric turbulence. The multidimensional signal constellation is designed as the Cartesian product of a one-dimensional non-negative pulse-amplitude modulation and a set of orthogonal OAM modes. We evaluate the performance of this modulation scheme by first determining conditional probability density functions (PDFs) of the modal crosstalk for each symbol, resulting from the propagation in weak turbulence using a numerical propagation model. It is observed that OAM modulation is more sensitive to atmospheric turbulence as the number of dimensions increases. However, this can be efficiently mitigated by an error-correction code. The coded OAM modulation scheme provides an energy-efficient alternative to single-mode transmission, since a larger rate can be obtained per given bandwidth.

© 2012 IEEE

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  23. M. F. Barsoum, B. Moision, M. Fitz, D. Divsalar, J. Hamkins, "Iterative coded pulse-position-modulation for deep-space optical communications," Proc. ITW (2007) pp. 66-71.

2010

I. B. Djordjevic, M. Arabaci, "LDPC-coded orbital angular momentum (OAM) modulation for free-space optical communication," Opt. Exp. 18, 24722-24728 (2010).

2009

I. B. Djordjevic, M. Arabaci, L. Minkov, "Next generation FEC for high-capacity communications in optical transport networks," J. Lightw. Technol. 27, 3518-3530 (2009).

2008

2007

A. Jesacher, A. Schwaighofer, S. Frhapter, C. Maurer, S. Bernet, M. Ritsch-Marte, "Wavefront correction of spatial light modulators using an optical vortex image," Opt. Exp. 15, 5801-5808 (2007).

2006

J. Lin, X.-C. Yuan, S. H. Tao, R. E. Burge, "Synthesis of multiple collinear helical modes generated by a phase-only element," J. Opt. Soc. Amer. A 23, 1214-1218 (2006).

2005

C. Paterson, "Atmospheric turbulence and orbital angular momentum of single photons for optical communication," Phys. Rev. Lett. 94, 153901-1-153901-4 (2005).

2004

G. Gibson, J. Courtial, M. Padgett, M. Vasnetsov, V. Pas'ko, S. Barnett, S. Franke-Arnold, "Free-space information transfer using light beams carrying orbital angular momentum," Opt. Exp. 12, 5448-5456 (2004).

J. Leach, J. Courtial, K. Skeldon, S. M. Barnett, S. Franke-Arnold, M. J. Padgett, "Interferometric methods to measure orbital and spin, or the total angular momentum of a single photon," Phys. Rev. Lett. 92, 013601-1-013601-4 (2004).

2002

M. J. Padgett, L. Allen, "Orbital angular momentum exchange in cylindrical-lens mode converters," J. Opt. B Quantum Semiclass. Opt. 4, S17-S19 (2002).

1998

S. Ten Brink, J. Speidel, R. H. Yan, "Iterative demapping for QPSK modulation," Electtron. Lett. 34, 1459-1460 (1998).

1997

D. V. Petrov, F. Canal, L. Torner, "A simple method to generate optical beams with a screw phase dislocation," Opt. Commun. 143, 265-267 (1997).

1994

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

1992

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

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

1972

R. W. Gerchberg, W. O. Saxton, "A practical algorithm for the determination of phase from image and diffraction plane pictures," Optik 35, 237-246 (1972).

Appl. Opt.

Electtron. Lett.

S. Ten Brink, J. Speidel, R. H. Yan, "Iterative demapping for QPSK modulation," Electtron. Lett. 34, 1459-1460 (1998).

J. Lightw. Technol.

I. B. Djordjevic, M. Arabaci, L. Minkov, "Next generation FEC for high-capacity communications in optical transport networks," J. Lightw. Technol. 27, 3518-3530 (2009).

J. Opt. Soc. Amer. A

J. Lin, X.-C. Yuan, S. H. Tao, R. E. Burge, "Synthesis of multiple collinear helical modes generated by a phase-only element," J. Opt. Soc. Amer. A 23, 1214-1218 (2006).

J. Lightw. Technol.

I. B. Djordjevic, S. Denic, J. Anguita, B. Vasic, M. A. Neifeld, "LDPC-coded MIMO optical communication over the atmospheric turbulence channel," J. Lightw. Technol. 26, 478-487 (2008).

J. Opt. B Quantum Semiclass. Opt.

M. J. Padgett, L. Allen, "Orbital angular momentum exchange in cylindrical-lens mode converters," J. Opt. B Quantum Semiclass. Opt. 4, S17-S19 (2002).

Opt. Exp.

G. Gibson, J. Courtial, M. Padgett, M. Vasnetsov, V. Pas'ko, S. Barnett, S. Franke-Arnold, "Free-space information transfer using light beams carrying orbital angular momentum," Opt. Exp. 12, 5448-5456 (2004).

A. Jesacher, A. Schwaighofer, S. Frhapter, C. Maurer, S. Bernet, M. Ritsch-Marte, "Wavefront correction of spatial light modulators using an optical vortex image," Opt. Exp. 15, 5801-5808 (2007).

Opt. Lett.

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

Opt. Commun.

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

D. V. Petrov, F. Canal, L. Torner, "A simple method to generate optical beams with a screw phase dislocation," Opt. Commun. 143, 265-267 (1997).

Opt. Exp.

I. B. Djordjevic, M. Arabaci, "LDPC-coded orbital angular momentum (OAM) modulation for free-space optical communication," Opt. Exp. 18, 24722-24728 (2010).

Optik

R. W. Gerchberg, W. O. Saxton, "A practical algorithm for the determination of phase from image and diffraction plane pictures," Optik 35, 237-246 (1972).

Phys. Rev. A

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

Phys. Rev. Lett.

J. Leach, J. Courtial, K. Skeldon, S. M. Barnett, S. Franke-Arnold, M. J. Padgett, "Interferometric methods to measure orbital and spin, or the total angular momentum of a single photon," Phys. Rev. Lett. 92, 013601-1-013601-4 (2004).

C. Paterson, "Atmospheric turbulence and orbital angular momentum of single photons for optical communication," Phys. Rev. Lett. 94, 153901-1-153901-4 (2005).

Other

N. Chandrasekaran, J. H. Shapiro, "Turbulence-induced crosstalk in multiple-spatial-mode optical communication," Proc. CLEO (2012).

J. G. Proakis, Digital Communications (McGraw-Hill, 2001).

M. F. Barsoum, B. Moision, M. Fitz, D. Divsalar, J. Hamkins, "Iterative coded pulse-position-modulation for deep-space optical communications," Proc. ITW (2007) pp. 66-71.

J. D. Jackson, Classical Electrodynamics (Wiley, 1975).

L. C. Andrews, R. L. Philips, Laser Beam Propagation Through Random Media (SPIE, 2005).

V. Aksenov, "Fluctuations of orbital angular momentum of vortex laser-beam in turbulent atmosphere," Proc. SPIE (2005) pp. 58921Y-1.

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