Abstract

The demand for higher bandwidth in Local Area Networks (LANs) has fuelled considerable research in techniques for mitigating modal dispersion in multimode fiber (MMF). These techniques include selective mode excitation, offset launching, angular multiplexing and electronic dispersion compensation, all of which strive to optimize the channel impulse response of a MMF. To obtain the optimal bandwidth-enhancement results from these techniques, knowledge of the distribution of power coupling coefficients given an arbitrary offset launch in a MMF is important. In this paper, an analytical expression for the power coupling coefficient for an incident Gaussian beam launched with a radial offset into a MMF having an infinite parabolic refractive index profile is derived. This expression is useful in understanding the parameters which may affect the power coupling coefficient and how they may enhance the MMF bandwidth. The power coupling coefficients obtained from the derived analytical expression are compared with numerical results and are in excellent agreement. The analytical expression may be extended to manufactured MMF.

© 2010 IEEE

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2006 (1)

X. J. Gu, W. Mohammed, P. W. Smith, "Demonstration of all-fiber WDM for multimode fiber local area networks," IEEE Photon. Technol. Lett. 18, 244-246 (2006).

2005 (1)

C. M. DeCusatis, "Fiber optic cable infrastructure and dispersion compensation for storage area networks.," IEEE Commun. Mag. 86-92 (2005).

2002 (1)

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

1999 (1)

M. Bruensteiner, G. C. Papen, J. Poulton, S. Tell, R. Palmer, K. Giboney, D. Dolfi, S. Corzine, "3.3-V CMOS pre-equalization VCSEL transmitter for gigabit multimode fiber links," IEEE Photon. Technol. Lett. 11, 1301-1303 (1999).

1998 (1)

L. Raddatz, I. H. White, D. G. Cunningham, M. C. Nowell, "An experimental and theoretical study of the offset launch technique for the enhancement of the bandwidth of multimode fiber links," J. Lightw. Technol. 16, 324-331 (1998).

1994 (1)

1993 (1)

Q. Yu, P. H. Zongo, P. Facq, "Refractive-index profile influences on mode coupling effects at optical fiber splices and connectors," J. Lightw. Technol. 11, 1270-1273 (1993).

1992 (1)

Z. Haas, M. A. Santoro, "Extending the bandwidth-distance product for multimode fiber systems," Fiber Integr. Opt. 11, 111-122 (1992).

1984 (1)

P. Facq, F. De-Fornel, F. Jean, "Tunable single-mode excitation in multimode fibres," Electron. Lett. 20, 613-614 (1984).

1982 (1)

1981 (1)

U. Levy, H. Kobrinsky, A. A. Friesem, "Angular multiplexing for multichannel communication in a single fiber," IEEE J. Quantum Electron. QE-17, 2215-2224 (1981).

1980 (2)

G. K. Grau, O. G. Leminger, E. G. Sauter, "Mode excitation in parabolic index fibres by Gaussian beam," Archiv. Fuer Elektron. Uebertragungstechnik 34, 259-265 (1980).

J. Saijonmaa, A. B. Sharma, S. J. Halme, "Selective excitation of parabolic-index optical fibers by Gaussian beams," Appl. Opt. 19, 2442-2452 (1980).

Appl. Opt. (2)

Archiv. Fuer Elektron. Uebertragungstechnik (1)

G. K. Grau, O. G. Leminger, E. G. Sauter, "Mode excitation in parabolic index fibres by Gaussian beam," Archiv. Fuer Elektron. Uebertragungstechnik 34, 259-265 (1980).

Electron. Lett. (1)

P. Facq, F. De-Fornel, F. Jean, "Tunable single-mode excitation in multimode fibres," Electron. Lett. 20, 613-614 (1984).

Fiber Integr. Opt. (1)

Z. Haas, M. A. Santoro, "Extending the bandwidth-distance product for multimode fiber systems," Fiber Integr. Opt. 11, 111-122 (1992).

IEEE Commun. Mag. (1)

C. M. DeCusatis, "Fiber optic cable infrastructure and dispersion compensation for storage area networks.," IEEE Commun. Mag. 86-92 (2005).

IEEE J. Quantum Electron. (1)

U. Levy, H. Kobrinsky, A. A. Friesem, "Angular multiplexing for multichannel communication in a single fiber," IEEE J. Quantum Electron. QE-17, 2215-2224 (1981).

IEEE Photon. Technol. Lett. (3)

M. Bruensteiner, G. C. Papen, J. Poulton, S. Tell, R. Palmer, K. Giboney, D. Dolfi, S. Corzine, "3.3-V CMOS pre-equalization VCSEL transmitter for gigabit multimode fiber links," IEEE Photon. Technol. Lett. 11, 1301-1303 (1999).

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

X. J. Gu, W. Mohammed, P. W. Smith, "Demonstration of all-fiber WDM for multimode fiber local area networks," IEEE Photon. Technol. Lett. 18, 244-246 (2006).

J. Lightw. Technol. (2)

L. Raddatz, I. H. White, D. G. Cunningham, M. C. Nowell, "An experimental and theoretical study of the offset launch technique for the enhancement of the bandwidth of multimode fiber links," J. Lightw. Technol. 16, 324-331 (1998).

Q. Yu, P. H. Zongo, P. Facq, "Refractive-index profile influences on mode coupling effects at optical fiber splices and connectors," J. Lightw. Technol. 11, 1270-1273 (1993).

Opt. Lett. (1)

Other (14)

D. Erni, M. Jungo, W. Baechtol, "Segmented VCSEL contact geometry for active coupling efficiency enhancement," Proc. Workshop on Compound Semiconductor Devices and Integrated Circuits, WOCSDICE 2003 (2003) pp. 67-68.

A. W. Snyder, J. D. Love, Optical Waveguide Theory, Science Paperbacks (Chapman and Hall, 1983) pp. viii, 734.

D. Coleman, Migration to 50/125-Mum in the Local Area Network HickoryNC (2006) Corning Cable Systems.

A. Flatman, “10 Gigabit Ethernet Over Legacy Multimode Fibre,” LAN Technologies, U.K..

V. McInally, “Multimode Fibre: The Progression Towards Multi-Gigabit Speeds & the 850 nm Wavelength,” Corning, U.K..

K. H. Hahn, "POLO-parallel optical links for Gigabit/s data communications," Proc. LEOS'95 (1995) pp. 228-229.

E. Alon, V. Stojanovic, J. M. Kahn, S. Boyd, M. Horowitz, "Equalization of modal dispersion in multimode fiber using spatial light modulators," Proc. IEEE GLOBECOM'04 (2004) pp. 1023-1029.

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. IEEE Global Telecommun. Conf. (2004) pp. 1023-1029.

P. L. Neo, J. P. Freeman, T. D. Wilkinson, "Modal control of a 50 $\mu$m core diameter multimode fiber using a spatial light modulator," Proc. OFC/NFOEC 2007 (2007) pp. 1-3.

I. S. Gradshteyn, I. M. Ryzhik, Tables of Integrals, Series and Products (Academic Press Inc, 1965) pp. xiv+1086.

B. Spain, M. G. Smith, Functions of Mathematical Physics (Van Nostrand Reinhold, 1970) pp. 208.

M. Abramowitz, I. A. Stegun, Handbook of Mathematical Functions: With Formulas, Graphs and Mathematical Tables (Dover Publications, 1973).

J. Gowar, Optical Communication Systems (Prentice Hall, 1993) pp. xvi, 696.

H. Mackenzie, Evanescent-Field Devices for Non-Linear Optical Applications (Univ. Cambridge, 1990).

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