Abstract

The complexity and the power consumption of digital signal processing are crucial issues in optical transmission systems based on mode division multiplexing and coherent multiple-input multiple-output (MIMO) processing at the receiver. In this paper the inherent characteristic of spatial separation between fiber modes is exploited, getting a MIMO system where joint demultiplexing and detection is based on spatially separated photodetectors. After photodetection, one has a MIMO system with nonlinear crosstalk between modes. The paper shows that the nonlinear crosstalk can be dealt with by a low-complexity and non-adaptive detection scheme, at least in the cases presented in the paper.

© 2013 OSA

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  1. R. C. J. Hsu, A. Tarighat, A. Shah, A. H. Sayed, and B. Jalali, “Capacity enhancement in coherent optical MIMO (COMIMO) multimode fiber links,” IEEE Commun. Lett.10, 195–197 (2006).
    [CrossRef]
  2. A. Tarighat, R. Hsu, A. Shah, A. Sayed, and B. Jalali, “Fundamentals and challenges of optical multiple-input multiple-output multimode fiber links,” IEEE Commun. Mag.45, 57–63 (2007).
    [CrossRef]
  3. T. Morioka, Y. Awaji, R. Ryf, P. J. Winzer, D. Richardson, and F. Poletti, “Enhancing optical communications with brand new fibers,” IEEE Commun. Mag.50, s31–s42 (2012).
    [CrossRef]
  4. R.-J. Essiambre and R. W. Tkach, “Capacity trends and limits of optical communication networks,” IEEE Proc.100, 1035–1055 (2012).
    [CrossRef]
  5. R. Dar, M. Feder, and M. Shtaif, “The underaddressed optical multiple-input, multiple-output channel: capacity and outage,” Opt. Lett.37, 3150–3152 (2012).
    [CrossRef] [PubMed]
  6. R. Dar, M. Feder, and M. Shtaif, “The Jacobi MIMO channel,” IEEE Trans. Inf. Theory59, 2426–2441 (2013).
    [CrossRef]
  7. V. Sleiffer, Y. Jung, B. Inan, H. Chen, R. van Uden, M. Kuschnerov, D. van den Borne, S. Jansen, V. Veljanovski, T. Koonen, D. Richardson, S. Alam, F. Poletti, J. Sahu, A. Dhar, B. Corbett, R. Winfield, A. Ellis, and H. De Waardt, “Mode-division-multiplexed 3×112-Gb/s DP-QPSK transmission over 80 km few-mode fiber with inline MM-EDFA and blind DSP,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Tu.1.C.2.
  8. R. Ryf, S. Randel, A. H. Gnauck, C. Bolle, A. Sierra, S. Mumtaz, M. Esmaeelpour, E. C. Burrows, R.-J. Essiambre, P. J. Winzer, D. W. Peckham, A. H. McCurdy, and R. Lingle, “Mode-division multiplexing over 96 km of few-mode fiber using coherent 6×6 MIMO processing,” J. Lightwave Technol.30, 521–531 (2012).
    [CrossRef]
  9. C. Koebele, M. Salsi, L. Milord, R. Ryf, C. Bolle, P. Sillard, S. Bigo, and G. Charlet, “40km transmission of five mode division multiplexed data streams at 100Gb/s with low MIMO-DSP complexity,” in European Conference and Exposition on Optical Communications, OSA Technical Digest (CD) (Optical Society of America, 2011), paper Th.13.C.3.
    [CrossRef]
  10. C. P. Tsekrekos, A. Martinez, F. M. Huijskens, and A. M. J. Koonen, “Design considerations for a transparent mode group diversity multiplexing link,” IEEE Photon. Technol. Lett.18, 2359–2361 (2006).
    [CrossRef]
  11. H. S. Chen, H. P. A. van den Boom, and A. M. J. Koonen, “30Gbit/s 3×3 optical mode group division multiplexing system with mode-selective spatial filtering,” in Optical Fiber Communication Conference/National Fiber Optic Engineers Conference, OSA Technical Digest (CD) (Optical Society of America, 2011), paper OWB1.
    [CrossRef]
  12. B. Franz and H. Bülow, “Mode group multiplexing over graded-index multimode fibers,” in Proceedings of International Conference on Transparent Optical Networks, (2012), paper Th.A1.3.
  13. M. Nazarathy and A. Agmon, “Coherent transmission direct detection MIMO over short-range optical interconnects and passive optical networks,” J. Lightwave Technol.26, 2037–2045 (2008).
    [CrossRef]
  14. J. A. Carpenter, B. C. Thomsen, and T. D. Wilkinson, “2×56-Gb/s mode-division multiplexed transmission over 2km of OM2 multimode fibre without MIMO equalization,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Th.2.D.3.
    [CrossRef]
  15. J. A. Carpenter, B. C. Thomsen, and T. D. Wilkinson, “Optical vortex based mode division multiplexing over graded-index multimode fibre,” in Optical Fiber Communication Conference/National Fiber Optic Engineers Conference, OSA Technical Digest (online) (Optical Society of America, 2013), paper OTh4G.3.
  16. S. Murshid and J. Iqbal, “Array of concentric CMOS photodiodes for detection and de-multiplexing of spatially modulated optical channels,” Opt. Laser Tech.41, 764–769 (2009).
    [CrossRef]
  17. S. N. Khonina, N. L. Kazanskiy, and V. A. Soifer, “Optical vortices in a fiber: mode division multiplexing and multimode self-imaging,” in Recent Progress in Optical Fiber Research, M. Yasin, S. W. Harun, and H. Arof, eds. (InTech, 2012), pp. 327–352.
  18. P. Martelli, A. Gatto, P. Boffi, and M. Martinelli, “Free-space optical transmission with orbital angular momentum division multiplexing,” Electron. Lett.47, 972–973 (2011).
    [CrossRef]
  19. A. Gatto, M. Tacca, P. Martelli, P. Boffi, and M. Martinelli, “Free-space orbital angular momentum division multiplexing with Bessel beams,” J. Optics13, 064018 (2011).
    [CrossRef]
  20. J. Wang, J.-Y. Yang, I. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics6, 488–496 (2012).
    [CrossRef]
  21. N. Bozinovic, Y Yue, Y. Ren, M. Tur, P. Kristensen, A. Willner, and S. Ramachandran, “Orbital angular momentum (OAM) based mode division multiplexing (MDM) over a km-length fiber,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Th.3.C.6.
    [CrossRef]
  22. K.-P. Ho and J. M. Kahn, “Statistics of group delays in multimode fiber with strong mode coupling,” J. Lightwave Technol.29, 3119–3128 (2011).
    [CrossRef]
  23. C. Antonelli, A. Mecozzi, M. Shtaif, and P. J. Winzer, “Stokes-space analysis of modal dispersion in fibers with multiple mode transmission,” Opt. Express20, 11718–11733 (2012).
    [CrossRef] [PubMed]

2013 (1)

R. Dar, M. Feder, and M. Shtaif, “The Jacobi MIMO channel,” IEEE Trans. Inf. Theory59, 2426–2441 (2013).
[CrossRef]

2012 (7)

R. Ryf, S. Randel, A. H. Gnauck, C. Bolle, A. Sierra, S. Mumtaz, M. Esmaeelpour, E. C. Burrows, R.-J. Essiambre, P. J. Winzer, D. W. Peckham, A. H. McCurdy, and R. Lingle, “Mode-division multiplexing over 96 km of few-mode fiber using coherent 6×6 MIMO processing,” J. Lightwave Technol.30, 521–531 (2012).
[CrossRef]

B. Franz and H. Bülow, “Mode group multiplexing over graded-index multimode fibers,” in Proceedings of International Conference on Transparent Optical Networks, (2012), paper Th.A1.3.

T. Morioka, Y. Awaji, R. Ryf, P. J. Winzer, D. Richardson, and F. Poletti, “Enhancing optical communications with brand new fibers,” IEEE Commun. Mag.50, s31–s42 (2012).
[CrossRef]

R.-J. Essiambre and R. W. Tkach, “Capacity trends and limits of optical communication networks,” IEEE Proc.100, 1035–1055 (2012).
[CrossRef]

R. Dar, M. Feder, and M. Shtaif, “The underaddressed optical multiple-input, multiple-output channel: capacity and outage,” Opt. Lett.37, 3150–3152 (2012).
[CrossRef] [PubMed]

J. Wang, J.-Y. Yang, I. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics6, 488–496 (2012).
[CrossRef]

C. Antonelli, A. Mecozzi, M. Shtaif, and P. J. Winzer, “Stokes-space analysis of modal dispersion in fibers with multiple mode transmission,” Opt. Express20, 11718–11733 (2012).
[CrossRef] [PubMed]

2011 (3)

K.-P. Ho and J. M. Kahn, “Statistics of group delays in multimode fiber with strong mode coupling,” J. Lightwave Technol.29, 3119–3128 (2011).
[CrossRef]

P. Martelli, A. Gatto, P. Boffi, and M. Martinelli, “Free-space optical transmission with orbital angular momentum division multiplexing,” Electron. Lett.47, 972–973 (2011).
[CrossRef]

A. Gatto, M. Tacca, P. Martelli, P. Boffi, and M. Martinelli, “Free-space orbital angular momentum division multiplexing with Bessel beams,” J. Optics13, 064018 (2011).
[CrossRef]

2009 (1)

S. Murshid and J. Iqbal, “Array of concentric CMOS photodiodes for detection and de-multiplexing of spatially modulated optical channels,” Opt. Laser Tech.41, 764–769 (2009).
[CrossRef]

2008 (1)

2007 (1)

A. Tarighat, R. Hsu, A. Shah, A. Sayed, and B. Jalali, “Fundamentals and challenges of optical multiple-input multiple-output multimode fiber links,” IEEE Commun. Mag.45, 57–63 (2007).
[CrossRef]

2006 (2)

R. C. J. Hsu, A. Tarighat, A. Shah, A. H. Sayed, and B. Jalali, “Capacity enhancement in coherent optical MIMO (COMIMO) multimode fiber links,” IEEE Commun. Lett.10, 195–197 (2006).
[CrossRef]

C. P. Tsekrekos, A. Martinez, F. M. Huijskens, and A. M. J. Koonen, “Design considerations for a transparent mode group diversity multiplexing link,” IEEE Photon. Technol. Lett.18, 2359–2361 (2006).
[CrossRef]

Agmon, A.

Ahmed, N.

J. Wang, J.-Y. Yang, I. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics6, 488–496 (2012).
[CrossRef]

Alam, S.

V. Sleiffer, Y. Jung, B. Inan, H. Chen, R. van Uden, M. Kuschnerov, D. van den Borne, S. Jansen, V. Veljanovski, T. Koonen, D. Richardson, S. Alam, F. Poletti, J. Sahu, A. Dhar, B. Corbett, R. Winfield, A. Ellis, and H. De Waardt, “Mode-division-multiplexed 3×112-Gb/s DP-QPSK transmission over 80 km few-mode fiber with inline MM-EDFA and blind DSP,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Tu.1.C.2.

Antonelli, C.

Awaji, Y.

T. Morioka, Y. Awaji, R. Ryf, P. J. Winzer, D. Richardson, and F. Poletti, “Enhancing optical communications with brand new fibers,” IEEE Commun. Mag.50, s31–s42 (2012).
[CrossRef]

Bigo, S.

C. Koebele, M. Salsi, L. Milord, R. Ryf, C. Bolle, P. Sillard, S. Bigo, and G. Charlet, “40km transmission of five mode division multiplexed data streams at 100Gb/s with low MIMO-DSP complexity,” in European Conference and Exposition on Optical Communications, OSA Technical Digest (CD) (Optical Society of America, 2011), paper Th.13.C.3.
[CrossRef]

Boffi, P.

P. Martelli, A. Gatto, P. Boffi, and M. Martinelli, “Free-space optical transmission with orbital angular momentum division multiplexing,” Electron. Lett.47, 972–973 (2011).
[CrossRef]

A. Gatto, M. Tacca, P. Martelli, P. Boffi, and M. Martinelli, “Free-space orbital angular momentum division multiplexing with Bessel beams,” J. Optics13, 064018 (2011).
[CrossRef]

Bolle, C.

R. Ryf, S. Randel, A. H. Gnauck, C. Bolle, A. Sierra, S. Mumtaz, M. Esmaeelpour, E. C. Burrows, R.-J. Essiambre, P. J. Winzer, D. W. Peckham, A. H. McCurdy, and R. Lingle, “Mode-division multiplexing over 96 km of few-mode fiber using coherent 6×6 MIMO processing,” J. Lightwave Technol.30, 521–531 (2012).
[CrossRef]

C. Koebele, M. Salsi, L. Milord, R. Ryf, C. Bolle, P. Sillard, S. Bigo, and G. Charlet, “40km transmission of five mode division multiplexed data streams at 100Gb/s with low MIMO-DSP complexity,” in European Conference and Exposition on Optical Communications, OSA Technical Digest (CD) (Optical Society of America, 2011), paper Th.13.C.3.
[CrossRef]

Bozinovic, N.

N. Bozinovic, Y Yue, Y. Ren, M. Tur, P. Kristensen, A. Willner, and S. Ramachandran, “Orbital angular momentum (OAM) based mode division multiplexing (MDM) over a km-length fiber,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Th.3.C.6.
[CrossRef]

Bülow, H.

B. Franz and H. Bülow, “Mode group multiplexing over graded-index multimode fibers,” in Proceedings of International Conference on Transparent Optical Networks, (2012), paper Th.A1.3.

Burrows, E. C.

Carpenter, J. A.

J. A. Carpenter, B. C. Thomsen, and T. D. Wilkinson, “2×56-Gb/s mode-division multiplexed transmission over 2km of OM2 multimode fibre without MIMO equalization,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Th.2.D.3.
[CrossRef]

J. A. Carpenter, B. C. Thomsen, and T. D. Wilkinson, “Optical vortex based mode division multiplexing over graded-index multimode fibre,” in Optical Fiber Communication Conference/National Fiber Optic Engineers Conference, OSA Technical Digest (online) (Optical Society of America, 2013), paper OTh4G.3.

Charlet, G.

C. Koebele, M. Salsi, L. Milord, R. Ryf, C. Bolle, P. Sillard, S. Bigo, and G. Charlet, “40km transmission of five mode division multiplexed data streams at 100Gb/s with low MIMO-DSP complexity,” in European Conference and Exposition on Optical Communications, OSA Technical Digest (CD) (Optical Society of America, 2011), paper Th.13.C.3.
[CrossRef]

Chen, H.

V. Sleiffer, Y. Jung, B. Inan, H. Chen, R. van Uden, M. Kuschnerov, D. van den Borne, S. Jansen, V. Veljanovski, T. Koonen, D. Richardson, S. Alam, F. Poletti, J. Sahu, A. Dhar, B. Corbett, R. Winfield, A. Ellis, and H. De Waardt, “Mode-division-multiplexed 3×112-Gb/s DP-QPSK transmission over 80 km few-mode fiber with inline MM-EDFA and blind DSP,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Tu.1.C.2.

Chen, H. S.

H. S. Chen, H. P. A. van den Boom, and A. M. J. Koonen, “30Gbit/s 3×3 optical mode group division multiplexing system with mode-selective spatial filtering,” in Optical Fiber Communication Conference/National Fiber Optic Engineers Conference, OSA Technical Digest (CD) (Optical Society of America, 2011), paper OWB1.
[CrossRef]

Corbett, B.

V. Sleiffer, Y. Jung, B. Inan, H. Chen, R. van Uden, M. Kuschnerov, D. van den Borne, S. Jansen, V. Veljanovski, T. Koonen, D. Richardson, S. Alam, F. Poletti, J. Sahu, A. Dhar, B. Corbett, R. Winfield, A. Ellis, and H. De Waardt, “Mode-division-multiplexed 3×112-Gb/s DP-QPSK transmission over 80 km few-mode fiber with inline MM-EDFA and blind DSP,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Tu.1.C.2.

Dar, R.

De Waardt, H.

V. Sleiffer, Y. Jung, B. Inan, H. Chen, R. van Uden, M. Kuschnerov, D. van den Borne, S. Jansen, V. Veljanovski, T. Koonen, D. Richardson, S. Alam, F. Poletti, J. Sahu, A. Dhar, B. Corbett, R. Winfield, A. Ellis, and H. De Waardt, “Mode-division-multiplexed 3×112-Gb/s DP-QPSK transmission over 80 km few-mode fiber with inline MM-EDFA and blind DSP,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Tu.1.C.2.

Dhar, A.

V. Sleiffer, Y. Jung, B. Inan, H. Chen, R. van Uden, M. Kuschnerov, D. van den Borne, S. Jansen, V. Veljanovski, T. Koonen, D. Richardson, S. Alam, F. Poletti, J. Sahu, A. Dhar, B. Corbett, R. Winfield, A. Ellis, and H. De Waardt, “Mode-division-multiplexed 3×112-Gb/s DP-QPSK transmission over 80 km few-mode fiber with inline MM-EDFA and blind DSP,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Tu.1.C.2.

Dolinar, S.

J. Wang, J.-Y. Yang, I. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics6, 488–496 (2012).
[CrossRef]

Ellis, A.

V. Sleiffer, Y. Jung, B. Inan, H. Chen, R. van Uden, M. Kuschnerov, D. van den Borne, S. Jansen, V. Veljanovski, T. Koonen, D. Richardson, S. Alam, F. Poletti, J. Sahu, A. Dhar, B. Corbett, R. Winfield, A. Ellis, and H. De Waardt, “Mode-division-multiplexed 3×112-Gb/s DP-QPSK transmission over 80 km few-mode fiber with inline MM-EDFA and blind DSP,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Tu.1.C.2.

Esmaeelpour, M.

Essiambre, R.-J.

Fazal, I.

J. Wang, J.-Y. Yang, I. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics6, 488–496 (2012).
[CrossRef]

Feder, M.

Franz, B.

B. Franz and H. Bülow, “Mode group multiplexing over graded-index multimode fibers,” in Proceedings of International Conference on Transparent Optical Networks, (2012), paper Th.A1.3.

Gatto, A.

A. Gatto, M. Tacca, P. Martelli, P. Boffi, and M. Martinelli, “Free-space orbital angular momentum division multiplexing with Bessel beams,” J. Optics13, 064018 (2011).
[CrossRef]

P. Martelli, A. Gatto, P. Boffi, and M. Martinelli, “Free-space optical transmission with orbital angular momentum division multiplexing,” Electron. Lett.47, 972–973 (2011).
[CrossRef]

Gnauck, A. H.

Ho, K.-P.

Hsu, R.

A. Tarighat, R. Hsu, A. Shah, A. Sayed, and B. Jalali, “Fundamentals and challenges of optical multiple-input multiple-output multimode fiber links,” IEEE Commun. Mag.45, 57–63 (2007).
[CrossRef]

Hsu, R. C. J.

R. C. J. Hsu, A. Tarighat, A. Shah, A. H. Sayed, and B. Jalali, “Capacity enhancement in coherent optical MIMO (COMIMO) multimode fiber links,” IEEE Commun. Lett.10, 195–197 (2006).
[CrossRef]

Huang, H.

J. Wang, J.-Y. Yang, I. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics6, 488–496 (2012).
[CrossRef]

Huijskens, F. M.

C. P. Tsekrekos, A. Martinez, F. M. Huijskens, and A. M. J. Koonen, “Design considerations for a transparent mode group diversity multiplexing link,” IEEE Photon. Technol. Lett.18, 2359–2361 (2006).
[CrossRef]

Inan, B.

V. Sleiffer, Y. Jung, B. Inan, H. Chen, R. van Uden, M. Kuschnerov, D. van den Borne, S. Jansen, V. Veljanovski, T. Koonen, D. Richardson, S. Alam, F. Poletti, J. Sahu, A. Dhar, B. Corbett, R. Winfield, A. Ellis, and H. De Waardt, “Mode-division-multiplexed 3×112-Gb/s DP-QPSK transmission over 80 km few-mode fiber with inline MM-EDFA and blind DSP,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Tu.1.C.2.

Iqbal, J.

S. Murshid and J. Iqbal, “Array of concentric CMOS photodiodes for detection and de-multiplexing of spatially modulated optical channels,” Opt. Laser Tech.41, 764–769 (2009).
[CrossRef]

Jalali, B.

A. Tarighat, R. Hsu, A. Shah, A. Sayed, and B. Jalali, “Fundamentals and challenges of optical multiple-input multiple-output multimode fiber links,” IEEE Commun. Mag.45, 57–63 (2007).
[CrossRef]

R. C. J. Hsu, A. Tarighat, A. Shah, A. H. Sayed, and B. Jalali, “Capacity enhancement in coherent optical MIMO (COMIMO) multimode fiber links,” IEEE Commun. Lett.10, 195–197 (2006).
[CrossRef]

Jansen, S.

V. Sleiffer, Y. Jung, B. Inan, H. Chen, R. van Uden, M. Kuschnerov, D. van den Borne, S. Jansen, V. Veljanovski, T. Koonen, D. Richardson, S. Alam, F. Poletti, J. Sahu, A. Dhar, B. Corbett, R. Winfield, A. Ellis, and H. De Waardt, “Mode-division-multiplexed 3×112-Gb/s DP-QPSK transmission over 80 km few-mode fiber with inline MM-EDFA and blind DSP,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Tu.1.C.2.

Jung, Y.

V. Sleiffer, Y. Jung, B. Inan, H. Chen, R. van Uden, M. Kuschnerov, D. van den Borne, S. Jansen, V. Veljanovski, T. Koonen, D. Richardson, S. Alam, F. Poletti, J. Sahu, A. Dhar, B. Corbett, R. Winfield, A. Ellis, and H. De Waardt, “Mode-division-multiplexed 3×112-Gb/s DP-QPSK transmission over 80 km few-mode fiber with inline MM-EDFA and blind DSP,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Tu.1.C.2.

Kahn, J. M.

Kazanskiy, N. L.

S. N. Khonina, N. L. Kazanskiy, and V. A. Soifer, “Optical vortices in a fiber: mode division multiplexing and multimode self-imaging,” in Recent Progress in Optical Fiber Research, M. Yasin, S. W. Harun, and H. Arof, eds. (InTech, 2012), pp. 327–352.

Khonina, S. N.

S. N. Khonina, N. L. Kazanskiy, and V. A. Soifer, “Optical vortices in a fiber: mode division multiplexing and multimode self-imaging,” in Recent Progress in Optical Fiber Research, M. Yasin, S. W. Harun, and H. Arof, eds. (InTech, 2012), pp. 327–352.

Koebele, C.

C. Koebele, M. Salsi, L. Milord, R. Ryf, C. Bolle, P. Sillard, S. Bigo, and G. Charlet, “40km transmission of five mode division multiplexed data streams at 100Gb/s with low MIMO-DSP complexity,” in European Conference and Exposition on Optical Communications, OSA Technical Digest (CD) (Optical Society of America, 2011), paper Th.13.C.3.
[CrossRef]

Koonen, A. M. J.

C. P. Tsekrekos, A. Martinez, F. M. Huijskens, and A. M. J. Koonen, “Design considerations for a transparent mode group diversity multiplexing link,” IEEE Photon. Technol. Lett.18, 2359–2361 (2006).
[CrossRef]

H. S. Chen, H. P. A. van den Boom, and A. M. J. Koonen, “30Gbit/s 3×3 optical mode group division multiplexing system with mode-selective spatial filtering,” in Optical Fiber Communication Conference/National Fiber Optic Engineers Conference, OSA Technical Digest (CD) (Optical Society of America, 2011), paper OWB1.
[CrossRef]

Koonen, T.

V. Sleiffer, Y. Jung, B. Inan, H. Chen, R. van Uden, M. Kuschnerov, D. van den Borne, S. Jansen, V. Veljanovski, T. Koonen, D. Richardson, S. Alam, F. Poletti, J. Sahu, A. Dhar, B. Corbett, R. Winfield, A. Ellis, and H. De Waardt, “Mode-division-multiplexed 3×112-Gb/s DP-QPSK transmission over 80 km few-mode fiber with inline MM-EDFA and blind DSP,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Tu.1.C.2.

Kristensen, P.

N. Bozinovic, Y Yue, Y. Ren, M. Tur, P. Kristensen, A. Willner, and S. Ramachandran, “Orbital angular momentum (OAM) based mode division multiplexing (MDM) over a km-length fiber,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Th.3.C.6.
[CrossRef]

Kuschnerov, M.

V. Sleiffer, Y. Jung, B. Inan, H. Chen, R. van Uden, M. Kuschnerov, D. van den Borne, S. Jansen, V. Veljanovski, T. Koonen, D. Richardson, S. Alam, F. Poletti, J. Sahu, A. Dhar, B. Corbett, R. Winfield, A. Ellis, and H. De Waardt, “Mode-division-multiplexed 3×112-Gb/s DP-QPSK transmission over 80 km few-mode fiber with inline MM-EDFA and blind DSP,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Tu.1.C.2.

Lingle, R.

Martelli, P.

A. Gatto, M. Tacca, P. Martelli, P. Boffi, and M. Martinelli, “Free-space orbital angular momentum division multiplexing with Bessel beams,” J. Optics13, 064018 (2011).
[CrossRef]

P. Martelli, A. Gatto, P. Boffi, and M. Martinelli, “Free-space optical transmission with orbital angular momentum division multiplexing,” Electron. Lett.47, 972–973 (2011).
[CrossRef]

Martinelli, M.

P. Martelli, A. Gatto, P. Boffi, and M. Martinelli, “Free-space optical transmission with orbital angular momentum division multiplexing,” Electron. Lett.47, 972–973 (2011).
[CrossRef]

A. Gatto, M. Tacca, P. Martelli, P. Boffi, and M. Martinelli, “Free-space orbital angular momentum division multiplexing with Bessel beams,” J. Optics13, 064018 (2011).
[CrossRef]

Martinez, A.

C. P. Tsekrekos, A. Martinez, F. M. Huijskens, and A. M. J. Koonen, “Design considerations for a transparent mode group diversity multiplexing link,” IEEE Photon. Technol. Lett.18, 2359–2361 (2006).
[CrossRef]

McCurdy, A. H.

Mecozzi, A.

Milord, L.

C. Koebele, M. Salsi, L. Milord, R. Ryf, C. Bolle, P. Sillard, S. Bigo, and G. Charlet, “40km transmission of five mode division multiplexed data streams at 100Gb/s with low MIMO-DSP complexity,” in European Conference and Exposition on Optical Communications, OSA Technical Digest (CD) (Optical Society of America, 2011), paper Th.13.C.3.
[CrossRef]

Morioka, T.

T. Morioka, Y. Awaji, R. Ryf, P. J. Winzer, D. Richardson, and F. Poletti, “Enhancing optical communications with brand new fibers,” IEEE Commun. Mag.50, s31–s42 (2012).
[CrossRef]

Mumtaz, S.

Murshid, S.

S. Murshid and J. Iqbal, “Array of concentric CMOS photodiodes for detection and de-multiplexing of spatially modulated optical channels,” Opt. Laser Tech.41, 764–769 (2009).
[CrossRef]

Nazarathy, M.

Peckham, D. W.

Poletti, F.

T. Morioka, Y. Awaji, R. Ryf, P. J. Winzer, D. Richardson, and F. Poletti, “Enhancing optical communications with brand new fibers,” IEEE Commun. Mag.50, s31–s42 (2012).
[CrossRef]

V. Sleiffer, Y. Jung, B. Inan, H. Chen, R. van Uden, M. Kuschnerov, D. van den Borne, S. Jansen, V. Veljanovski, T. Koonen, D. Richardson, S. Alam, F. Poletti, J. Sahu, A. Dhar, B. Corbett, R. Winfield, A. Ellis, and H. De Waardt, “Mode-division-multiplexed 3×112-Gb/s DP-QPSK transmission over 80 km few-mode fiber with inline MM-EDFA and blind DSP,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Tu.1.C.2.

Ramachandran, S.

N. Bozinovic, Y Yue, Y. Ren, M. Tur, P. Kristensen, A. Willner, and S. Ramachandran, “Orbital angular momentum (OAM) based mode division multiplexing (MDM) over a km-length fiber,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Th.3.C.6.
[CrossRef]

Randel, S.

Ren, Y.

J. Wang, J.-Y. Yang, I. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics6, 488–496 (2012).
[CrossRef]

N. Bozinovic, Y Yue, Y. Ren, M. Tur, P. Kristensen, A. Willner, and S. Ramachandran, “Orbital angular momentum (OAM) based mode division multiplexing (MDM) over a km-length fiber,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Th.3.C.6.
[CrossRef]

Richardson, D.

T. Morioka, Y. Awaji, R. Ryf, P. J. Winzer, D. Richardson, and F. Poletti, “Enhancing optical communications with brand new fibers,” IEEE Commun. Mag.50, s31–s42 (2012).
[CrossRef]

V. Sleiffer, Y. Jung, B. Inan, H. Chen, R. van Uden, M. Kuschnerov, D. van den Borne, S. Jansen, V. Veljanovski, T. Koonen, D. Richardson, S. Alam, F. Poletti, J. Sahu, A. Dhar, B. Corbett, R. Winfield, A. Ellis, and H. De Waardt, “Mode-division-multiplexed 3×112-Gb/s DP-QPSK transmission over 80 km few-mode fiber with inline MM-EDFA and blind DSP,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Tu.1.C.2.

Ryf, R.

T. Morioka, Y. Awaji, R. Ryf, P. J. Winzer, D. Richardson, and F. Poletti, “Enhancing optical communications with brand new fibers,” IEEE Commun. Mag.50, s31–s42 (2012).
[CrossRef]

R. Ryf, S. Randel, A. H. Gnauck, C. Bolle, A. Sierra, S. Mumtaz, M. Esmaeelpour, E. C. Burrows, R.-J. Essiambre, P. J. Winzer, D. W. Peckham, A. H. McCurdy, and R. Lingle, “Mode-division multiplexing over 96 km of few-mode fiber using coherent 6×6 MIMO processing,” J. Lightwave Technol.30, 521–531 (2012).
[CrossRef]

C. Koebele, M. Salsi, L. Milord, R. Ryf, C. Bolle, P. Sillard, S. Bigo, and G. Charlet, “40km transmission of five mode division multiplexed data streams at 100Gb/s with low MIMO-DSP complexity,” in European Conference and Exposition on Optical Communications, OSA Technical Digest (CD) (Optical Society of America, 2011), paper Th.13.C.3.
[CrossRef]

Sahu, J.

V. Sleiffer, Y. Jung, B. Inan, H. Chen, R. van Uden, M. Kuschnerov, D. van den Borne, S. Jansen, V. Veljanovski, T. Koonen, D. Richardson, S. Alam, F. Poletti, J. Sahu, A. Dhar, B. Corbett, R. Winfield, A. Ellis, and H. De Waardt, “Mode-division-multiplexed 3×112-Gb/s DP-QPSK transmission over 80 km few-mode fiber with inline MM-EDFA and blind DSP,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Tu.1.C.2.

Salsi, M.

C. Koebele, M. Salsi, L. Milord, R. Ryf, C. Bolle, P. Sillard, S. Bigo, and G. Charlet, “40km transmission of five mode division multiplexed data streams at 100Gb/s with low MIMO-DSP complexity,” in European Conference and Exposition on Optical Communications, OSA Technical Digest (CD) (Optical Society of America, 2011), paper Th.13.C.3.
[CrossRef]

Sayed, A.

A. Tarighat, R. Hsu, A. Shah, A. Sayed, and B. Jalali, “Fundamentals and challenges of optical multiple-input multiple-output multimode fiber links,” IEEE Commun. Mag.45, 57–63 (2007).
[CrossRef]

Sayed, A. H.

R. C. J. Hsu, A. Tarighat, A. Shah, A. H. Sayed, and B. Jalali, “Capacity enhancement in coherent optical MIMO (COMIMO) multimode fiber links,” IEEE Commun. Lett.10, 195–197 (2006).
[CrossRef]

Shah, A.

A. Tarighat, R. Hsu, A. Shah, A. Sayed, and B. Jalali, “Fundamentals and challenges of optical multiple-input multiple-output multimode fiber links,” IEEE Commun. Mag.45, 57–63 (2007).
[CrossRef]

R. C. J. Hsu, A. Tarighat, A. Shah, A. H. Sayed, and B. Jalali, “Capacity enhancement in coherent optical MIMO (COMIMO) multimode fiber links,” IEEE Commun. Lett.10, 195–197 (2006).
[CrossRef]

Shtaif, M.

Sierra, A.

Sillard, P.

C. Koebele, M. Salsi, L. Milord, R. Ryf, C. Bolle, P. Sillard, S. Bigo, and G. Charlet, “40km transmission of five mode division multiplexed data streams at 100Gb/s with low MIMO-DSP complexity,” in European Conference and Exposition on Optical Communications, OSA Technical Digest (CD) (Optical Society of America, 2011), paper Th.13.C.3.
[CrossRef]

Sleiffer, V.

V. Sleiffer, Y. Jung, B. Inan, H. Chen, R. van Uden, M. Kuschnerov, D. van den Borne, S. Jansen, V. Veljanovski, T. Koonen, D. Richardson, S. Alam, F. Poletti, J. Sahu, A. Dhar, B. Corbett, R. Winfield, A. Ellis, and H. De Waardt, “Mode-division-multiplexed 3×112-Gb/s DP-QPSK transmission over 80 km few-mode fiber with inline MM-EDFA and blind DSP,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Tu.1.C.2.

Soifer, V. A.

S. N. Khonina, N. L. Kazanskiy, and V. A. Soifer, “Optical vortices in a fiber: mode division multiplexing and multimode self-imaging,” in Recent Progress in Optical Fiber Research, M. Yasin, S. W. Harun, and H. Arof, eds. (InTech, 2012), pp. 327–352.

Tacca, M.

A. Gatto, M. Tacca, P. Martelli, P. Boffi, and M. Martinelli, “Free-space orbital angular momentum division multiplexing with Bessel beams,” J. Optics13, 064018 (2011).
[CrossRef]

Tarighat, A.

A. Tarighat, R. Hsu, A. Shah, A. Sayed, and B. Jalali, “Fundamentals and challenges of optical multiple-input multiple-output multimode fiber links,” IEEE Commun. Mag.45, 57–63 (2007).
[CrossRef]

R. C. J. Hsu, A. Tarighat, A. Shah, A. H. Sayed, and B. Jalali, “Capacity enhancement in coherent optical MIMO (COMIMO) multimode fiber links,” IEEE Commun. Lett.10, 195–197 (2006).
[CrossRef]

Thomsen, B. C.

J. A. Carpenter, B. C. Thomsen, and T. D. Wilkinson, “Optical vortex based mode division multiplexing over graded-index multimode fibre,” in Optical Fiber Communication Conference/National Fiber Optic Engineers Conference, OSA Technical Digest (online) (Optical Society of America, 2013), paper OTh4G.3.

J. A. Carpenter, B. C. Thomsen, and T. D. Wilkinson, “2×56-Gb/s mode-division multiplexed transmission over 2km of OM2 multimode fibre without MIMO equalization,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Th.2.D.3.
[CrossRef]

Tkach, R. W.

R.-J. Essiambre and R. W. Tkach, “Capacity trends and limits of optical communication networks,” IEEE Proc.100, 1035–1055 (2012).
[CrossRef]

Tsekrekos, C. P.

C. P. Tsekrekos, A. Martinez, F. M. Huijskens, and A. M. J. Koonen, “Design considerations for a transparent mode group diversity multiplexing link,” IEEE Photon. Technol. Lett.18, 2359–2361 (2006).
[CrossRef]

Tur, M.

J. Wang, J.-Y. Yang, I. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics6, 488–496 (2012).
[CrossRef]

N. Bozinovic, Y Yue, Y. Ren, M. Tur, P. Kristensen, A. Willner, and S. Ramachandran, “Orbital angular momentum (OAM) based mode division multiplexing (MDM) over a km-length fiber,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Th.3.C.6.
[CrossRef]

van den Boom, H. P. A.

H. S. Chen, H. P. A. van den Boom, and A. M. J. Koonen, “30Gbit/s 3×3 optical mode group division multiplexing system with mode-selective spatial filtering,” in Optical Fiber Communication Conference/National Fiber Optic Engineers Conference, OSA Technical Digest (CD) (Optical Society of America, 2011), paper OWB1.
[CrossRef]

van den Borne, D.

V. Sleiffer, Y. Jung, B. Inan, H. Chen, R. van Uden, M. Kuschnerov, D. van den Borne, S. Jansen, V. Veljanovski, T. Koonen, D. Richardson, S. Alam, F. Poletti, J. Sahu, A. Dhar, B. Corbett, R. Winfield, A. Ellis, and H. De Waardt, “Mode-division-multiplexed 3×112-Gb/s DP-QPSK transmission over 80 km few-mode fiber with inline MM-EDFA and blind DSP,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Tu.1.C.2.

van Uden, R.

V. Sleiffer, Y. Jung, B. Inan, H. Chen, R. van Uden, M. Kuschnerov, D. van den Borne, S. Jansen, V. Veljanovski, T. Koonen, D. Richardson, S. Alam, F. Poletti, J. Sahu, A. Dhar, B. Corbett, R. Winfield, A. Ellis, and H. De Waardt, “Mode-division-multiplexed 3×112-Gb/s DP-QPSK transmission over 80 km few-mode fiber with inline MM-EDFA and blind DSP,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Tu.1.C.2.

Veljanovski, V.

V. Sleiffer, Y. Jung, B. Inan, H. Chen, R. van Uden, M. Kuschnerov, D. van den Borne, S. Jansen, V. Veljanovski, T. Koonen, D. Richardson, S. Alam, F. Poletti, J. Sahu, A. Dhar, B. Corbett, R. Winfield, A. Ellis, and H. De Waardt, “Mode-division-multiplexed 3×112-Gb/s DP-QPSK transmission over 80 km few-mode fiber with inline MM-EDFA and blind DSP,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Tu.1.C.2.

Wang, J.

J. Wang, J.-Y. Yang, I. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics6, 488–496 (2012).
[CrossRef]

Wilkinson, T. D.

J. A. Carpenter, B. C. Thomsen, and T. D. Wilkinson, “2×56-Gb/s mode-division multiplexed transmission over 2km of OM2 multimode fibre without MIMO equalization,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Th.2.D.3.
[CrossRef]

J. A. Carpenter, B. C. Thomsen, and T. D. Wilkinson, “Optical vortex based mode division multiplexing over graded-index multimode fibre,” in Optical Fiber Communication Conference/National Fiber Optic Engineers Conference, OSA Technical Digest (online) (Optical Society of America, 2013), paper OTh4G.3.

Willner, A.

J. Wang, J.-Y. Yang, I. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics6, 488–496 (2012).
[CrossRef]

N. Bozinovic, Y Yue, Y. Ren, M. Tur, P. Kristensen, A. Willner, and S. Ramachandran, “Orbital angular momentum (OAM) based mode division multiplexing (MDM) over a km-length fiber,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Th.3.C.6.
[CrossRef]

Winfield, R.

V. Sleiffer, Y. Jung, B. Inan, H. Chen, R. van Uden, M. Kuschnerov, D. van den Borne, S. Jansen, V. Veljanovski, T. Koonen, D. Richardson, S. Alam, F. Poletti, J. Sahu, A. Dhar, B. Corbett, R. Winfield, A. Ellis, and H. De Waardt, “Mode-division-multiplexed 3×112-Gb/s DP-QPSK transmission over 80 km few-mode fiber with inline MM-EDFA and blind DSP,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Tu.1.C.2.

Winzer, P. J.

Yan, Y.

J. Wang, J.-Y. Yang, I. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics6, 488–496 (2012).
[CrossRef]

Yang, J.-Y.

J. Wang, J.-Y. Yang, I. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics6, 488–496 (2012).
[CrossRef]

Yue, Y

N. Bozinovic, Y Yue, Y. Ren, M. Tur, P. Kristensen, A. Willner, and S. Ramachandran, “Orbital angular momentum (OAM) based mode division multiplexing (MDM) over a km-length fiber,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Th.3.C.6.
[CrossRef]

Yue, Y.

J. Wang, J.-Y. Yang, I. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics6, 488–496 (2012).
[CrossRef]

Electron. Lett. (1)

P. Martelli, A. Gatto, P. Boffi, and M. Martinelli, “Free-space optical transmission with orbital angular momentum division multiplexing,” Electron. Lett.47, 972–973 (2011).
[CrossRef]

IEEE Commun. Lett. (1)

R. C. J. Hsu, A. Tarighat, A. Shah, A. H. Sayed, and B. Jalali, “Capacity enhancement in coherent optical MIMO (COMIMO) multimode fiber links,” IEEE Commun. Lett.10, 195–197 (2006).
[CrossRef]

IEEE Commun. Mag. (2)

A. Tarighat, R. Hsu, A. Shah, A. Sayed, and B. Jalali, “Fundamentals and challenges of optical multiple-input multiple-output multimode fiber links,” IEEE Commun. Mag.45, 57–63 (2007).
[CrossRef]

T. Morioka, Y. Awaji, R. Ryf, P. J. Winzer, D. Richardson, and F. Poletti, “Enhancing optical communications with brand new fibers,” IEEE Commun. Mag.50, s31–s42 (2012).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

C. P. Tsekrekos, A. Martinez, F. M. Huijskens, and A. M. J. Koonen, “Design considerations for a transparent mode group diversity multiplexing link,” IEEE Photon. Technol. Lett.18, 2359–2361 (2006).
[CrossRef]

IEEE Proc. (1)

R.-J. Essiambre and R. W. Tkach, “Capacity trends and limits of optical communication networks,” IEEE Proc.100, 1035–1055 (2012).
[CrossRef]

IEEE Trans. Inf. Theory (1)

R. Dar, M. Feder, and M. Shtaif, “The Jacobi MIMO channel,” IEEE Trans. Inf. Theory59, 2426–2441 (2013).
[CrossRef]

J. Lightwave Technol. (3)

J. Optics (1)

A. Gatto, M. Tacca, P. Martelli, P. Boffi, and M. Martinelli, “Free-space orbital angular momentum division multiplexing with Bessel beams,” J. Optics13, 064018 (2011).
[CrossRef]

Nat. Photonics (1)

J. Wang, J.-Y. Yang, I. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A. Willner, “Terabit free-space data transmission employing orbital angular momentum multiplexing,” Nat. Photonics6, 488–496 (2012).
[CrossRef]

Opt. Express (1)

Opt. Laser Tech. (1)

S. Murshid and J. Iqbal, “Array of concentric CMOS photodiodes for detection and de-multiplexing of spatially modulated optical channels,” Opt. Laser Tech.41, 764–769 (2009).
[CrossRef]

Opt. Lett. (1)

Proceedings of International Conference on Transparent Optical Networks (1)

B. Franz and H. Bülow, “Mode group multiplexing over graded-index multimode fibers,” in Proceedings of International Conference on Transparent Optical Networks, (2012), paper Th.A1.3.

Other (7)

S. N. Khonina, N. L. Kazanskiy, and V. A. Soifer, “Optical vortices in a fiber: mode division multiplexing and multimode self-imaging,” in Recent Progress in Optical Fiber Research, M. Yasin, S. W. Harun, and H. Arof, eds. (InTech, 2012), pp. 327–352.

C. Koebele, M. Salsi, L. Milord, R. Ryf, C. Bolle, P. Sillard, S. Bigo, and G. Charlet, “40km transmission of five mode division multiplexed data streams at 100Gb/s with low MIMO-DSP complexity,” in European Conference and Exposition on Optical Communications, OSA Technical Digest (CD) (Optical Society of America, 2011), paper Th.13.C.3.
[CrossRef]

V. Sleiffer, Y. Jung, B. Inan, H. Chen, R. van Uden, M. Kuschnerov, D. van den Borne, S. Jansen, V. Veljanovski, T. Koonen, D. Richardson, S. Alam, F. Poletti, J. Sahu, A. Dhar, B. Corbett, R. Winfield, A. Ellis, and H. De Waardt, “Mode-division-multiplexed 3×112-Gb/s DP-QPSK transmission over 80 km few-mode fiber with inline MM-EDFA and blind DSP,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Tu.1.C.2.

N. Bozinovic, Y Yue, Y. Ren, M. Tur, P. Kristensen, A. Willner, and S. Ramachandran, “Orbital angular momentum (OAM) based mode division multiplexing (MDM) over a km-length fiber,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Th.3.C.6.
[CrossRef]

J. A. Carpenter, B. C. Thomsen, and T. D. Wilkinson, “2×56-Gb/s mode-division multiplexed transmission over 2km of OM2 multimode fibre without MIMO equalization,” in European Conference and Exhibition on Optical Communication, OSA Technical Digest (online) (Optical Society of America, 2012), paper Th.2.D.3.
[CrossRef]

J. A. Carpenter, B. C. Thomsen, and T. D. Wilkinson, “Optical vortex based mode division multiplexing over graded-index multimode fibre,” in Optical Fiber Communication Conference/National Fiber Optic Engineers Conference, OSA Technical Digest (online) (Optical Society of America, 2013), paper OTh4G.3.

H. S. Chen, H. P. A. van den Boom, and A. M. J. Koonen, “30Gbit/s 3×3 optical mode group division multiplexing system with mode-selective spatial filtering,” in Optical Fiber Communication Conference/National Fiber Optic Engineers Conference, OSA Technical Digest (CD) (Optical Society of America, 2011), paper OWB1.
[CrossRef]

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Figures (5)

Fig. 1
Fig. 1

From left to right: intensity pattern of OV01 and intensity pattern of OV11 before coupling. Rightmost picture: inner circle PD1, outer circular annulus PD2.

Fig. 2
Fig. 2

Realizations of intensity patterns after propagation with p1 = p2 = 0.8. From the upper to the lower row: a = [1, 0]T, a = [0,1]T, and a = [1,1]T.

Fig. 3
Fig. 3

Receiver block diagram.

Fig. 4
Fig. 4

From top to bottom: SER versus R with p = 1, p = 0.9, and p = 0.8. Solid line: circular PDs with ML decision. Asterisks: circular PDs with suboptimal decision (ML rule for p = 1). Dashed line: 20 realizations of C and optical demultiplexing with ML detection.

Fig. 5
Fig. 5

Asterisks: z(a) with p = 1. Circles: 20 realizations of z(a) with p = 0.8. The solid line bounds the decision regions of the ML rule for p = 1. From the position of the circles in the plane one realizes that the optimal decision boundary for p = 0.8 is virtually the same as that for p = 1.

Equations (27)

Equations on this page are rendered with MathJax. Learn more.

E ( ρ , θ , a ) = E ( ρ , θ ) C a ,
E ( ρ , θ ) = [ E 1 ( ρ , θ ) , E 2 ( ρ , θ ) , , E 6 ( ρ , θ ) ] ,
z i ( a ) = S i E ( ρ , θ , a ) 2 ρ d ρ d θ , i = { 1 , 2 } ,
z ( a ) = F P a + w ( a ) ,
[ S 1 R 1 2 ( ρ ) ρ d ρ d θ S 1 R 2 2 ( ρ ) ρ d ρ d θ S 2 R 1 2 ( ρ ) ρ d ρ d θ S 2 R 2 2 ( ρ ) ρ d ρ d θ ] [ p 1 1 p 2 1 p 1 p 2 ] ,
w ( a ) = a 1 a 2 w i ,
w 2 2 F i p max ( 1 p min ) ,
z ( a ) = P ¯ a + w ¯ ( a ) ,
w ¯ ( a ) = 2 a 1 a 2 { [ c 1 , 1 * c 1 , 2 c 2 , 1 * c 2 , 2 c 6 , 1 * c 6 , 2 ] } ,
a ^ ML = argmin a 𝒜 ( y z ( a ) ) T ( y z ( a ) ) .
R = E { ( i = 1 N z i ) 2 } N σ n 2 ,
I ( ρ , θ , a ) = E ( ρ , θ , a ) 2 = E ( ρ , θ ) G ( a ) E H ( ρ , θ )
G ( a ) = C a a H C H = [ G 1 , 1 ( a ) G 1 , 2 ( a ) G 2 , 1 ( a ) G 2 , 2 ( a ) ] C = [ c 1 , 1 c 1 , 2 c 2 , 1 c 2 , 2 ] ,
S i E k ( ρ , θ ) E h * ( ρ , θ ) ρ d ρ d θ = { S i R k 2 ( ρ , θ ) ρ d ρ d θ k = h 0 k h ,
z i ( a ) = k = 1 6 h = 1 6 g k , h ( a ) S i E k ( ρ , θ ) E h * ( ρ , θ ) ρ d ρ d θ = tr { G 1 , 1 ( a ) } f i , 1 + tr { G 2 , 2 ( a ) } f i , 2 ,
f i , j = S i R j 2 ( ρ ) ρ d ρ d θ .
tr { G j , j ( a ) } = k = 1 2 h = 1 2 a k a h c j , k H c j , h .
z i ( a ) = [ f i , 1 , f i , 2 ] P a + 2 a 1 a 2 [ f i , 1 f i , 2 ] { [ c 1 , 1 H c 1 , 2 c 2 , 1 H c 2 , 2 ] } ,
P = [ c 1 , 1 2 c 1 , 2 2 c 2 , 1 2 c 2 , 2 2 ] = [ p 1 1 p 2 1 p 1 p 2 ] .
z ( a ) = [ z 1 ( a ) z 2 ( a ) ] = F P a + w ( a ) ,
w ( a ) = 2 a 1 a 2 F { [ c 1 , 1 H c 1 , 2 c 2 , 1 H c 2 , 2 ] } .
c 1 , 1 H c 1 , 2 = c 2 , 1 H c 2 , 2 = α e j ϕ .
w ( a ) = 2 2 a 1 a 2 α cos ( ϕ ) F i
F i = γ i ,
α cos ( ϕ ) min ( | c 1 , 1 H c 1 , 2 | , | c 2 , 1 H c 1 , 2 | ) min ( p 1 ( 1 p 2 ) , p 2 ( 1 p 1 ) ) ,
w ( a ) = a 1 a 2 w i ,
w = 2 2 α cos ( ϕ ) γ 2 2 γ p max ( 1 p min ) .

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