Linear and nonlinear propagation of optical Nyquist pulses in fibers

doi:10.1364/OE.20.019836

Linear and nonlinear propagation of optical Nyquist pulses in fibers

Toshihiko Hirooka and Masataka Nakazawa »View Author Affiliations

Optics Express, Vol. 20, Issue 18, pp. 19836-19849 (2012)
http://dx.doi.org/10.1364/OE.20.019836

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Abstract

We present an analytical and numerical description of optical Nyquist pulse propagation in optical fibers in the presence of dispersion and nonlinearity. An optical Nyquist pulse has a profile given by the sinc-like impulse response of a Nyquist filter, which has periodic zero-crossing points at every symbol interval. This property makes it possible to interleave bits to an ultrahigh symbol rate with no intersymbol interference in spite of the strong overlap between adjacent pulses. We analyze how this periodic zero-crossing property is maintained or affected by the fiber dispersion and nonlinearity, and show that it is better maintained against nonlinearity in the presence of normal dispersion.

OCIS Codes
(060.4230) Fiber optics and optical communications : Multiplexing
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(320.5540) Ultrafast optics : Pulse shaping

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: July 2, 2012
Revised Manuscript: August 8, 2012
Manuscript Accepted: August 9, 2012
Published: August 14, 2012

Citation
Toshihiko Hirooka and Masataka Nakazawa, "Linear and nonlinear propagation of optical Nyquist pulses in fibers," Opt. Express 20, 19836-19849 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-18-19836

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References

H. G. Weber and M. Nakazawa, eds., Ultrahigh-Speed Optical Transmission Technology (Springer, 2007).
A. Hasegawa and F. Tappert, “Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion,” Appl. Phys. Lett.23(3), 142–144 (1973). [CrossRef]
M. Nakazawa, H. Kubota, A. Sahara, and K. Tamura, “Marked increase in the power margin through the use of a dispersion-allocated soliton,” IEEE Photon. Technol. Lett.8(8), 1088–1090 (1996). [CrossRef]
D. J. Kuizenga and A. E. Siegman, “FM and AM mode locking of the homogeneous laser – Part I: Theory,” IEEE J. Quantum Electron.6(11), 694–708 (1970). [CrossRef]
H. A. Haus, “Theory of mode locking with a fast saturable absorber,” J. Appl. Phys.46(7), 3049–3058 (1975). [CrossRef]
M. Nakazawa, T. Hirooka, P. Ruan, and P. Guan, “Ultrahigh-speed “orthogonal” TDM transmission with an optical Nyquist pulse train,” Opt. Express20(2), 1129–1140 (2012). [CrossRef] [PubMed]
H. Nyquist, “Certain topics in telegraph transmission theory,” AIEE Trans.47, 617–644 (1928).
K. Kasai, J. Hongo, H. Goto, M. Yoshida, and M. Nakazawa, “The use of a Nyquist filter for reducing an optical signal bandwidth in a coherent QAM optical transmission,” IEICE Electron. Express5(1), 6–10 (2008). [CrossRef]
G. Bosco, A. Carena, V. Curri, P. Poggiolini, and F. Forghieri, “Performance limits of Nyquist-WDM and CO-OFDM in high-speed PM-QPSK systems,” IEEE Photon. Technol. Lett.22(15), 1129–1131 (2010). [CrossRef]
X. Zhou, L. E. Nelson, P. Magill, B. Zhu, and D. W. Peckham, “8x450-Gb/s, 50-GHz spaced, PDM-32QAM transmission over 400 km and one 50 GHz-grid ROADM,” in Optical Fiber Communication Conference (OFC 2011), paper PDPB3.
R. Schmogrow, M. Meyer, S. Wolf, B. Nebendahl, D. Hillerkuss, B. Baeuerle, M. Dreschmann, J. Meyer, M. Huebner, J. Becker, C. Koos, W. Freude, and J. Leuthold, “150 Gbit/s real-time Nyquist pulse transmission over 150 km SSMF enhanced by DSP with dynamic precision,” in Optical Fiber Communication Conference (OFC 2012), paper OM2A.6.
J. G. Proakis, Digital Transmission, 4th ed. (McGraw Hill, 2000).
T. Hirooka, P. Ruan, P. Guan, and M. Nakazawa, “Highly dispersion-tolerant 160 Gbaud optical Nyquist pulse TDM transmission over 525 km,” Opt. Express20(14), 15001–15007 (2012). [CrossRef] [PubMed]
G. P. Agrawal, Nonlinear Fiber Optics (Academic Press, 1989).

AIEE Trans.

H. Nyquist, “Certain topics in telegraph transmission theory,” AIEE Trans.47, 617–644 (1928).

Appl. Phys. Lett.

A. Hasegawa and F. Tappert, “Transmission of stationary nonlinear optical pulses in dispersive dielectric fibers. I. Anomalous dispersion,” Appl. Phys. Lett.23(3), 142–144 (1973). [CrossRef]

IEEE J. Quantum Electron.

D. J. Kuizenga and A. E. Siegman, “FM and AM mode locking of the homogeneous laser – Part I: Theory,” IEEE J. Quantum Electron.6(11), 694–708 (1970). [CrossRef]

IEEE Photon. Technol. Lett.

M. Nakazawa, H. Kubota, A. Sahara, and K. Tamura, “Marked increase in the power margin through the use of a dispersion-allocated soliton,” IEEE Photon. Technol. Lett.8(8), 1088–1090 (1996). [CrossRef]
G. Bosco, A. Carena, V. Curri, P. Poggiolini, and F. Forghieri, “Performance limits of Nyquist-WDM and CO-OFDM in high-speed PM-QPSK systems,” IEEE Photon. Technol. Lett.22(15), 1129–1131 (2010). [CrossRef]

IEICE Electron. Express

K. Kasai, J. Hongo, H. Goto, M. Yoshida, and M. Nakazawa, “The use of a Nyquist filter for reducing an optical signal bandwidth in a coherent QAM optical transmission,” IEICE Electron. Express5(1), 6–10 (2008). [CrossRef]

J. Appl. Phys.

H. A. Haus, “Theory of mode locking with a fast saturable absorber,” J. Appl. Phys.46(7), 3049–3058 (1975). [CrossRef]

Opt. Express

Other

G. P. Agrawal, Nonlinear Fiber Optics (Academic Press, 1989).
H. G. Weber and M. Nakazawa, eds., Ultrahigh-Speed Optical Transmission Technology (Springer, 2007).
X. Zhou, L. E. Nelson, P. Magill, B. Zhu, and D. W. Peckham, “8x450-Gb/s, 50-GHz spaced, PDM-32QAM transmission over 400 km and one 50 GHz-grid ROADM,” in Optical Fiber Communication Conference (OFC 2011), paper PDPB3.
R. Schmogrow, M. Meyer, S. Wolf, B. Nebendahl, D. Hillerkuss, B. Baeuerle, M. Dreschmann, J. Meyer, M. Huebner, J. Becker, C. Koos, W. Freude, and J. Leuthold, “150 Gbit/s real-time Nyquist pulse transmission over 150 km SSMF enhanced by DSP with dynamic precision,” in Optical Fiber Communication Conference (OFC 2012), paper OM2A.6.
J. G. Proakis, Digital Transmission, 4th ed. (McGraw Hill, 2000).

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