Abstract

We propose and demonstrate an all-optical phase noise reduction scheme that uses optical nonlinear mixing and tunable optical delays to suppress the low-speed phase noise induced by laser linewidth. By utilizing the phase conjugate copy of the original signal and two narrow-linewidth optical pumps, the phase noise induced by laser linewidth can be reduced by a factor of 5 for a laser with 500-MHz phase noise bandwidth. The error-vector-magnitude can be improved from 30% to 14% for the same laser linewidth for 40-Gbit/s quadrature phase shift keying signal.

© 2014 Optical Society of America

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2013 (3)

2012 (1)

S. Khaleghi, O. F. Yilmaz, M. R. Chitgarha, M. Tur, N. Ahmed, S. Nuccio, I. Fazel, X. Wu, M. W. Haney, C. Langrock, M. M. Fejer, and A. E. Willner, IEEE Photon. J. 4, 1220 (2012).
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2010 (2)

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[CrossRef]

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photonics 4, 690 (2010).
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2008 (1)

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2004 (1)

1982 (1)

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S. Khaleghi, O. F. Yilmaz, M. R. Chitgarha, M. Tur, N. Ahmed, S. Nuccio, I. Fazel, X. Wu, M. W. Haney, C. Langrock, M. M. Fejer, and A. E. Willner, IEEE Photon. J. 4, 1220 (2012).
[CrossRef]

Andrekson, P. A.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photonics 4, 690 (2010).
[CrossRef]

Asobe, M.

Bakhtiari, Z.

Barros, D. J. F.

Bogris, A.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photonics 4, 690 (2010).
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Cheng, T.-H.

D. Huang, T.-H. Cheng, and C. Yu, IEEE Photon. Technol. Lett. 25, 1731 (2013).
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M. R. Chitgarha, S. Khaleghi, Z. Bakhtiari, M. Ziyadi, O. Gerstel, L. Paraschis, C. Langrock, M. M. Fejer, and A. E. Willner, Opt. Lett. 38, 3350 (2013).
[CrossRef]

S. Khaleghi, O. F. Yilmaz, M. R. Chitgarha, M. Tur, N. Ahmed, S. Nuccio, I. Fazel, X. Wu, M. W. Haney, C. Langrock, M. M. Fejer, and A. E. Willner, IEEE Photon. J. 4, 1220 (2012).
[CrossRef]

M. R. Chitgarha, S. Khaleghi, M. Ziyadi, W. Daab, A. Mohajerin-Ariaei, D. Rogawski, J. D. Touch, M. Tur, C. Langrock, M. M. Fejer, and A. E. Willner, in Optical Fiber Communication Conference (OFC) (Optical Society of America, 2013), paper OTh3B.

Colavolpe, G.

Croussore, K.

Daab, W.

M. R. Chitgarha, S. Khaleghi, M. Ziyadi, W. Daab, A. Mohajerin-Ariaei, D. Rogawski, J. D. Touch, M. Tur, C. Langrock, M. M. Fejer, and A. E. Willner, in Optical Fiber Communication Conference (OFC) (Optical Society of America, 2013), paper OTh3B.

Dasgupta, S.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photonics 4, 690 (2010).
[CrossRef]

Drummond, M.

A. Silva, M. Drummond, and R. Ribeiro, in 15th International Conference on Transparent Optical Networks (ICTON) (2013), pp. 1–4.

Ellis, A. D.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photonics 4, 690 (2010).
[CrossRef]

Fazel, I.

S. Khaleghi, O. F. Yilmaz, M. R. Chitgarha, M. Tur, N. Ahmed, S. Nuccio, I. Fazel, X. Wu, M. W. Haney, C. Langrock, M. M. Fejer, and A. E. Willner, IEEE Photon. J. 4, 1220 (2012).
[CrossRef]

Fejer, M. M.

M. R. Chitgarha, S. Khaleghi, Z. Bakhtiari, M. Ziyadi, O. Gerstel, L. Paraschis, C. Langrock, M. M. Fejer, and A. E. Willner, Opt. Lett. 38, 3350 (2013).
[CrossRef]

S. Khaleghi, O. F. Yilmaz, M. R. Chitgarha, M. Tur, N. Ahmed, S. Nuccio, I. Fazel, X. Wu, M. W. Haney, C. Langrock, M. M. Fejer, and A. E. Willner, IEEE Photon. J. 4, 1220 (2012).
[CrossRef]

M. R. Chitgarha, S. Khaleghi, M. Ziyadi, W. Daab, A. Mohajerin-Ariaei, D. Rogawski, J. D. Touch, M. Tur, C. Langrock, M. M. Fejer, and A. E. Willner, in Optical Fiber Communication Conference (OFC) (Optical Society of America, 2013), paper OTh3B.

Foggi, T.

Forestieri, E.

Gerstel, O.

Grüner-Nielsen, L.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photonics 4, 690 (2010).
[CrossRef]

Haney, M. W.

S. Khaleghi, O. F. Yilmaz, M. R. Chitgarha, M. Tur, N. Ahmed, S. Nuccio, I. Fazel, X. Wu, M. W. Haney, C. Langrock, M. M. Fejer, and A. E. Willner, IEEE Photon. J. 4, 1220 (2012).
[CrossRef]

Henry, C.

C. Henry, IEEE J. Quantum Electron. 18, 259 (1982).
[CrossRef]

Herstrøm, S.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photonics 4, 690 (2010).
[CrossRef]

Huang, D.

D. Huang, T.-H. Cheng, and C. Yu, IEEE Photon. Technol. Lett. 25, 1731 (2013).
[CrossRef]

Ip, E.

Jakobsen, D.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photonics 4, 690 (2010).
[CrossRef]

Kahn, J. M.

Kakande, J.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photonics 4, 690 (2010).
[CrossRef]

Kam, P.-Y.

Khaleghi, S.

M. R. Chitgarha, S. Khaleghi, Z. Bakhtiari, M. Ziyadi, O. Gerstel, L. Paraschis, C. Langrock, M. M. Fejer, and A. E. Willner, Opt. Lett. 38, 3350 (2013).
[CrossRef]

S. Khaleghi, O. F. Yilmaz, M. R. Chitgarha, M. Tur, N. Ahmed, S. Nuccio, I. Fazel, X. Wu, M. W. Haney, C. Langrock, M. M. Fejer, and A. E. Willner, IEEE Photon. J. 4, 1220 (2012).
[CrossRef]

M. R. Chitgarha, S. Khaleghi, M. Ziyadi, W. Daab, A. Mohajerin-Ariaei, D. Rogawski, J. D. Touch, M. Tur, C. Langrock, M. M. Fejer, and A. E. Willner, in Optical Fiber Communication Conference (OFC) (Optical Society of America, 2013), paper OTh3B.

Kim, C.

Langrock, C.

M. R. Chitgarha, S. Khaleghi, Z. Bakhtiari, M. Ziyadi, O. Gerstel, L. Paraschis, C. Langrock, M. M. Fejer, and A. E. Willner, Opt. Lett. 38, 3350 (2013).
[CrossRef]

S. Khaleghi, O. F. Yilmaz, M. R. Chitgarha, M. Tur, N. Ahmed, S. Nuccio, I. Fazel, X. Wu, M. W. Haney, C. Langrock, M. M. Fejer, and A. E. Willner, IEEE Photon. J. 4, 1220 (2012).
[CrossRef]

M. R. Chitgarha, S. Khaleghi, M. Ziyadi, W. Daab, A. Mohajerin-Ariaei, D. Rogawski, J. D. Touch, M. Tur, C. Langrock, M. M. Fejer, and A. E. Willner, in Optical Fiber Communication Conference (OFC) (Optical Society of America, 2013), paper OTh3B.

Lau, A. P. T.

Li, G.

Lundström, C.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photonics 4, 690 (2010).
[CrossRef]

Miyamoto, Y.

Mohajerin-Ariaei, A.

M. R. Chitgarha, S. Khaleghi, M. Ziyadi, W. Daab, A. Mohajerin-Ariaei, D. Rogawski, J. D. Touch, M. Tur, C. Langrock, M. M. Fejer, and A. E. Willner, in Optical Fiber Communication Conference (OFC) (Optical Society of America, 2013), paper OTh3B.

Nuccio, S.

S. Khaleghi, O. F. Yilmaz, M. R. Chitgarha, M. Tur, N. Ahmed, S. Nuccio, I. Fazel, X. Wu, M. W. Haney, C. Langrock, M. M. Fejer, and A. E. Willner, IEEE Photon. J. 4, 1220 (2012).
[CrossRef]

O’Gorman, J.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photonics 4, 690 (2010).
[CrossRef]

Paraschis, L.

Parmigiani, F.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photonics 4, 690 (2010).
[CrossRef]

Petropoulos, P.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photonics 4, 690 (2010).
[CrossRef]

Phelan, R.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photonics 4, 690 (2010).
[CrossRef]

Ribeiro, R.

A. Silva, M. Drummond, and R. Ribeiro, in 15th International Conference on Transparent Optical Networks (ICTON) (2013), pp. 1–4.

Richardson, D. J.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photonics 4, 690 (2010).
[CrossRef]

Rogawski, D.

M. R. Chitgarha, S. Khaleghi, M. Ziyadi, W. Daab, A. Mohajerin-Ariaei, D. Rogawski, J. D. Touch, M. Tur, C. Langrock, M. M. Fejer, and A. E. Willner, in Optical Fiber Communication Conference (OFC) (Optical Society of America, 2013), paper OTh3B.

Secondini, M.

Shao, X.

Silva, A.

A. Silva, M. Drummond, and R. Ribeiro, in 15th International Conference on Transparent Optical Networks (ICTON) (2013), pp. 1–4.

Sjödin, M.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photonics 4, 690 (2010).
[CrossRef]

Slavík, R.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photonics 4, 690 (2010).
[CrossRef]

Sygletos, S.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photonics 4, 690 (2010).
[CrossRef]

Syvridis, D.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photonics 4, 690 (2010).
[CrossRef]

Takara, H.

Takenouchi, H.

Touch, J. D.

M. R. Chitgarha, S. Khaleghi, M. Ziyadi, W. Daab, A. Mohajerin-Ariaei, D. Rogawski, J. D. Touch, M. Tur, C. Langrock, M. M. Fejer, and A. E. Willner, in Optical Fiber Communication Conference (OFC) (Optical Society of America, 2013), paper OTh3B.

Tur, M.

S. Khaleghi, O. F. Yilmaz, M. R. Chitgarha, M. Tur, N. Ahmed, S. Nuccio, I. Fazel, X. Wu, M. W. Haney, C. Langrock, M. M. Fejer, and A. E. Willner, IEEE Photon. J. 4, 1220 (2012).
[CrossRef]

M. R. Chitgarha, S. Khaleghi, M. Ziyadi, W. Daab, A. Mohajerin-Ariaei, D. Rogawski, J. D. Touch, M. Tur, C. Langrock, M. M. Fejer, and A. E. Willner, in Optical Fiber Communication Conference (OFC) (Optical Society of America, 2013), paper OTh3B.

Umeki, T.

Weerasuriya, R.

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photonics 4, 690 (2010).
[CrossRef]

Willner, A. E.

M. R. Chitgarha, S. Khaleghi, Z. Bakhtiari, M. Ziyadi, O. Gerstel, L. Paraschis, C. Langrock, M. M. Fejer, and A. E. Willner, Opt. Lett. 38, 3350 (2013).
[CrossRef]

S. Khaleghi, O. F. Yilmaz, M. R. Chitgarha, M. Tur, N. Ahmed, S. Nuccio, I. Fazel, X. Wu, M. W. Haney, C. Langrock, M. M. Fejer, and A. E. Willner, IEEE Photon. J. 4, 1220 (2012).
[CrossRef]

M. R. Chitgarha, S. Khaleghi, M. Ziyadi, W. Daab, A. Mohajerin-Ariaei, D. Rogawski, J. D. Touch, M. Tur, C. Langrock, M. M. Fejer, and A. E. Willner, in Optical Fiber Communication Conference (OFC) (Optical Society of America, 2013), paper OTh3B.

Winzer, P. J.

P. J. Winzer, IEEE Commun. Mag. 48(7), 26 (2010).
[CrossRef]

Wu, X.

S. Khaleghi, O. F. Yilmaz, M. R. Chitgarha, M. Tur, N. Ahmed, S. Nuccio, I. Fazel, X. Wu, M. W. Haney, C. Langrock, M. M. Fejer, and A. E. Willner, IEEE Photon. J. 4, 1220 (2012).
[CrossRef]

Yilmaz, O. F.

S. Khaleghi, O. F. Yilmaz, M. R. Chitgarha, M. Tur, N. Ahmed, S. Nuccio, I. Fazel, X. Wu, M. W. Haney, C. Langrock, M. M. Fejer, and A. E. Willner, IEEE Photon. J. 4, 1220 (2012).
[CrossRef]

Yu, C.

D. Huang, T.-H. Cheng, and C. Yu, IEEE Photon. Technol. Lett. 25, 1731 (2013).
[CrossRef]

Yu, Ch.

Ziyadi, M.

M. R. Chitgarha, S. Khaleghi, Z. Bakhtiari, M. Ziyadi, O. Gerstel, L. Paraschis, C. Langrock, M. M. Fejer, and A. E. Willner, Opt. Lett. 38, 3350 (2013).
[CrossRef]

M. R. Chitgarha, S. Khaleghi, M. Ziyadi, W. Daab, A. Mohajerin-Ariaei, D. Rogawski, J. D. Touch, M. Tur, C. Langrock, M. M. Fejer, and A. E. Willner, in Optical Fiber Communication Conference (OFC) (Optical Society of America, 2013), paper OTh3B.

IEEE Commun. Mag. (1)

P. J. Winzer, IEEE Commun. Mag. 48(7), 26 (2010).
[CrossRef]

IEEE J. Quantum Electron. (1)

C. Henry, IEEE J. Quantum Electron. 18, 259 (1982).
[CrossRef]

IEEE Photon. J. (1)

S. Khaleghi, O. F. Yilmaz, M. R. Chitgarha, M. Tur, N. Ahmed, S. Nuccio, I. Fazel, X. Wu, M. W. Haney, C. Langrock, M. M. Fejer, and A. E. Willner, IEEE Photon. J. 4, 1220 (2012).
[CrossRef]

IEEE Photon. Technol. Lett. (1)

D. Huang, T.-H. Cheng, and C. Yu, IEEE Photon. Technol. Lett. 25, 1731 (2013).
[CrossRef]

J. Lightwave Technol. (2)

Nat. Photonics (1)

R. Slavík, F. Parmigiani, J. Kakande, C. Lundström, M. Sjödin, P. A. Andrekson, R. Weerasuriya, S. Sygletos, A. D. Ellis, L. Grüner-Nielsen, D. Jakobsen, S. Herstrøm, R. Phelan, J. O’Gorman, A. Bogris, D. Syvridis, S. Dasgupta, P. Petropoulos, and D. J. Richardson, Nat. Photonics 4, 690 (2010).
[CrossRef]

Opt. Express (3)

Opt. Lett. (2)

Other (2)

M. R. Chitgarha, S. Khaleghi, M. Ziyadi, W. Daab, A. Mohajerin-Ariaei, D. Rogawski, J. D. Touch, M. Tur, C. Langrock, M. M. Fejer, and A. E. Willner, in Optical Fiber Communication Conference (OFC) (Optical Society of America, 2013), paper OTh3B.

A. Silva, M. Drummond, and R. Ribeiro, in 15th International Conference on Transparent Optical Networks (ICTON) (2013), pp. 1–4.

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Figures (7)

Fig. 1.
Fig. 1.

Conceptual block diagram of a phase noise suppression scheme. First, a nonlinear wave mixer generates a phase conjugate copy of the input signal by using an injected CW laser pump. Next, a dispersive element induces a relative delay between the signal and its conjugate copy. Finally, another nonlinear element is utilized to mix the signal, its phase conjugate copy, and another injected signal to generate the output signal with lower phase noise.

Fig. 2.
Fig. 2.

Implementing a linear differentiator in the phase domain to reduce low-speed phase noise.

Fig. 3.
Fig. 3.

Experimental setup for the proposed phase noise suppression scheme.

Fig. 4.
Fig. 4.

(a) Ratio of input phase noise standard deviation to output phase noise standard deviation for 20-Gbit/s BPSK data. Both experimental measurement points and the theoretical curves are shown. As can be seen, the experimental results are almost aligned on the theoretical curve at higher frequencies, whereas for lower frequencies they diverge. At lower frequencies, most of the induced sinusoidal phase noise is cancelled and other sources of phase noise dominate. (b) The equivalent output linewidth for the proposed scheme versus input linewidth when lasers with 10 kHz to 1-MHz linewidths are used.

Fig. 5.
Fig. 5.

(a) Phase noise reduction on 20-Gbit/s BPSK signal with constant white phase noise with different bandwidths of 750 MHz for high/middle/low phase noise standard deviations and (b) phase noise reduction on 40-Gbit/s QPSK signal with different white phase noises with bandwidths of 100 MHz/1 GHz/3.3 GHz and constant input phase noise standard deviation.

Fig. 6.
Fig. 6.

Phase noise reduction factor for 40-Gbit/s QPSK signal with three levels of induced white phase noise with different bandwidths. For higher phase noise, the reduction factor is higher. On the other hand, the phase noise reduction scheme performs significantly better in lower frequencies.

Fig. 7.
Fig. 7.

EVM improvement for 40-Gbit/s QPSK signal with three levels of induced white phase noise (σin10°, 20° and 30°) with different bandwidths. As can be seen, for higher phase noise, the EVM improvement is higher. On the other hand, the phase noise reduction scheme performance is better in lower frequencies.

Equations (6)

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Sout(t)P12(tT)×Sin(t)×Sin*(tT)×P2*(t).
Φout(t)2ΦP1(tT)ΦP2(t)+Φin(t)Φin(tT),
Φout(t)Φin(t)Φin(tT).
φout(t)=(φData(t)φData(tT))+(φNoise(t)φNoise(tT)),
ΦNoise-out(ω)=2jejωT/2sin(ωT/2)×ΦNoise(ω).
σout=2(1sinc(2ΔυT))×σin.

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