Abstract

In this paper, we propose a provably optimal technique for minimizing intersymbol interference (ISI) in multimode fiber (MMF) systems using adaptive optics via convex optimization. We use a spatial light modulator (SLM) to shape the spatial profile of light launched into an MMF. We derive an expression for the system impulse response in terms of the SLM reflectance and the field patterns of the MMF principal modes (PMs). Finding optimal SLM settings to minimize ISI, subject to physical constraints, is posed as an optimization problem. We observe that our problem can be cast as a second-order cone program, which is a convex optimization problem. Its global solution can, therefore, be found with minimal computational complexity, and can be implemented using fast, low-complexity adaptive algorithms. We include simulation results, which show that this technique opens up an eye pattern originally closed due to ISI. We also see that, contrary to what one might expect, the optimal SLM settings do not completely suppress higher order PMs.

© 2008 IEEE

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  1. G. P. Agrawal, Fiber-Optic Communications Systems (Wiley, 2002).
  2. S. Fan, J. M. Kahn, "Principal modes in multi-mode waveguides," Optics Lett. 30, 135-137 (2005).
  3. X. Zhao, F. S. Choa, "Demonstration of 10-Gb/s transmissions over 1.5-km-long multimode fiber using equalization techniques," IEEE Photon. Technol. Lett. 14, 1187-1189 (2002).
  4. H. Wu, J. A. Tierno, P. Pepeljugoski, J. Schaub, S. Gowda, J. A. Kash, A. Hajimiri, "Integrated transversal equalizers in high-speed fiber-optic systems," IEEE J. Solid-State Circuits 38, 2131-2137 (2003).
  5. J. Proakis, Digital Communications (McGraw-Hill, 2001).
  6. E. Alon, V. Stojanovic, J. M. Kahn, S. P. Boyd, M. A. Horowitz, "Equalization of modal dispersion in multimode fiber using spatial light modulators," Proc. Global Telecommun. Conf. (2004) pp. 1023-1029.
  7. X. Shen, J. M. Kahn, M. A. Horowitz, "Compensation for multimode fiber dispersion by adaptive optics," Optics Lett. 30, 2985-2987 (2005).
  8. C. K. Pollock, Fundamentals of Optoelectronics (Dow Jones–Irwin, 1994).
  9. J. M. Kahn, W. J. Krause, J. B. Carruthers, "Experimental characterization of non-directed indoor infrared channels," IEEE Trans. Commun. 43, 1613-1623 (1995).
  10. S. Boyd, L. Vandenberghe, Convex Optimization (Cambridge Univ. Press, 2004).
  11. M. Grant, S. Boyd, Y. Ye, cvx: Matlab Software for Disciplined Convex Programming http://www.stanford.edu/boyd/cvx/.
  12. R. A. Panicker, J. P. Wilde, J. M. Kahn, D. F. Welch, I. Lyubomirsky, "10 $\times$ 10 Gb/s DWDM transmission through 2.2 km multimode fiber using adaptive optics," IEEE Photon. Technol. Lett. 19, 1154-1156 (2007).

2007 (1)

R. A. Panicker, J. P. Wilde, J. M. Kahn, D. F. Welch, I. Lyubomirsky, "10 $\times$ 10 Gb/s DWDM transmission through 2.2 km multimode fiber using adaptive optics," IEEE Photon. Technol. Lett. 19, 1154-1156 (2007).

2005 (2)

S. Fan, J. M. Kahn, "Principal modes in multi-mode waveguides," Optics Lett. 30, 135-137 (2005).

X. Shen, J. M. Kahn, M. A. Horowitz, "Compensation for multimode fiber dispersion by adaptive optics," Optics Lett. 30, 2985-2987 (2005).

2003 (1)

H. Wu, J. A. Tierno, P. Pepeljugoski, J. Schaub, S. Gowda, J. A. Kash, A. Hajimiri, "Integrated transversal equalizers in high-speed fiber-optic systems," IEEE J. Solid-State Circuits 38, 2131-2137 (2003).

2002 (1)

X. Zhao, F. S. Choa, "Demonstration of 10-Gb/s transmissions over 1.5-km-long multimode fiber using equalization techniques," IEEE Photon. Technol. Lett. 14, 1187-1189 (2002).

1995 (1)

J. M. Kahn, W. J. Krause, J. B. Carruthers, "Experimental characterization of non-directed indoor infrared channels," IEEE Trans. Commun. 43, 1613-1623 (1995).

IEEE Photon. Technol. Lett. (1)

X. Zhao, F. S. Choa, "Demonstration of 10-Gb/s transmissions over 1.5-km-long multimode fiber using equalization techniques," IEEE Photon. Technol. Lett. 14, 1187-1189 (2002).

IEEE J. Solid-State Circuits (1)

H. Wu, J. A. Tierno, P. Pepeljugoski, J. Schaub, S. Gowda, J. A. Kash, A. Hajimiri, "Integrated transversal equalizers in high-speed fiber-optic systems," IEEE J. Solid-State Circuits 38, 2131-2137 (2003).

IEEE Photon. Technol. Lett. (1)

R. A. Panicker, J. P. Wilde, J. M. Kahn, D. F. Welch, I. Lyubomirsky, "10 $\times$ 10 Gb/s DWDM transmission through 2.2 km multimode fiber using adaptive optics," IEEE Photon. Technol. Lett. 19, 1154-1156 (2007).

IEEE Trans. Commun. (1)

J. M. Kahn, W. J. Krause, J. B. Carruthers, "Experimental characterization of non-directed indoor infrared channels," IEEE Trans. Commun. 43, 1613-1623 (1995).

Optics Lett. (2)

S. Fan, J. M. Kahn, "Principal modes in multi-mode waveguides," Optics Lett. 30, 135-137 (2005).

X. Shen, J. M. Kahn, M. A. Horowitz, "Compensation for multimode fiber dispersion by adaptive optics," Optics Lett. 30, 2985-2987 (2005).

Other (6)

C. K. Pollock, Fundamentals of Optoelectronics (Dow Jones–Irwin, 1994).

G. P. Agrawal, Fiber-Optic Communications Systems (Wiley, 2002).

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

E. Alon, V. Stojanovic, J. M. Kahn, S. P. Boyd, M. A. Horowitz, "Equalization of modal dispersion in multimode fiber using spatial light modulators," Proc. Global Telecommun. Conf. (2004) pp. 1023-1029.

S. Boyd, L. Vandenberghe, Convex Optimization (Cambridge Univ. Press, 2004).

M. Grant, S. Boyd, Y. Ye, cvx: Matlab Software for Disciplined Convex Programming http://www.stanford.edu/boyd/cvx/.

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