Abstract

We report a new radio-frequency (RF) phase stabilization approach for long-haul optical fiber distribution. The phase drift of an RF signal induced by fiber-length variations can be canceled out automatically via RF mixing without using active phase discrimination and dynamic phase tracking. A key significance of our approach is that no assistant local oscillator (LO) signal is needed. Consequently, frequency estimation of the received RF signal, as well as frequency locking between the LO and the received RF signal, is no longer required, which simplifies the system. A proof-of-concept experiment shows that the phase drift of the received RF signal at 9.6 GHz is significantly reduced using the proposed method. The root mean square (RMS) timing jitter is 0.76 ps when a tunable optical delay line (TODL) inserted between the remote antenna unit (RAU) and local station is changed from 0 to 300 ps.

© 2014 Optical Society of America

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2014 (3)

2013 (3)

2012 (2)

B. Wang, C. Gao, W. L. Chen, J. Miao, X. Zhu, Y. Bai, J. W. Zhang, Y. Y. Feng, T. C. Li, and L. J. Wang, Sci. Rep. 2, 556 (2012).

K. Predehl, G. Grosche, S. M. F. Raupach, S. Droste, O. Terra, J. Alnis, Th. Legero, T. W. Hänsch, Th. Udem, R. Holzwarth, and H. Schnatz, Science 336, 441 (2012).
[CrossRef]

2011 (2)

2010 (1)

2009 (3)

2008 (1)

H. Kiuchi, IEEE Trans. Microwave Theor. Tech. 56, 1493 (2008).
[CrossRef]

2007 (2)

S. M. Foreman, K. W. Holman, D. D. Hudson, D. J. Jones, and J. Ye, Rev. Sci. Instrum. 78, 021101 (2007).
[CrossRef]

J. Kim, J. Chen, Z. Zhang, F. N. C. Wong, F. X. Kartner, F. Loehl, and H. Schlarb, Opt. Lett. 32, 1044 (2007).
[CrossRef]

2006 (1)

J. F. Cliche and B. Shillue, IEEE Control Syst. Mag. 26(1), 19 (2006).
[CrossRef]

Aben, G.

Alnis, J.

K. Predehl, G. Grosche, S. M. F. Raupach, S. Droste, O. Terra, J. Alnis, Th. Legero, T. W. Hänsch, Th. Udem, R. Holzwarth, and H. Schnatz, Science 336, 441 (2012).
[CrossRef]

Bai, Y.

B. Wang, C. Gao, W. L. Chen, J. Miao, X. Zhu, Y. Bai, J. W. Zhang, Y. Y. Feng, T. C. Li, and L. J. Wang, Sci. Rep. 2, 556 (2012).

Baldwin, K. G. H.

Byrd, J. M.

Chang, L.

Chen, J.

Chen, W. L.

B. Wang, C. Gao, W. L. Chen, J. Miao, X. Zhu, Y. Bai, J. W. Zhang, Y. Y. Feng, T. C. Li, and L. J. Wang, Sci. Rep. 2, 556 (2012).

Cliche, J. F.

J. F. Cliche and B. Shillue, IEEE Control Syst. Mag. 26(1), 19 (2006).
[CrossRef]

Dai, Y.

Dong, Y.

Doolittle, L.

Droste, S.

K. Predehl, G. Grosche, S. M. F. Raupach, S. Droste, O. Terra, J. Alnis, Th. Legero, T. W. Hänsch, Th. Udem, R. Holzwarth, and H. Schnatz, Science 336, 441 (2012).
[CrossRef]

Feng, Y. Y.

B. Wang, C. Gao, W. L. Chen, J. Miao, X. Zhu, Y. Bai, J. W. Zhang, Y. Y. Feng, T. C. Li, and L. J. Wang, Sci. Rep. 2, 556 (2012).

Foreman, S. M.

S. M. Foreman, K. W. Holman, D. D. Hudson, D. J. Jones, and J. Ye, Rev. Sci. Instrum. 78, 021101 (2007).
[CrossRef]

Fujieda, M.

Gao, C.

B. Wang, C. Gao, W. L. Chen, J. Miao, X. Zhu, Y. Bai, J. W. Zhang, Y. Y. Feng, T. C. Li, and L. J. Wang, Sci. Rep. 2, 556 (2012).

Gill, P.

Grosche, G.

K. Predehl, G. Grosche, S. M. F. Raupach, S. Droste, O. Terra, J. Alnis, Th. Legero, T. W. Hänsch, Th. Udem, R. Holzwarth, and H. Schnatz, Science 336, 441 (2012).
[CrossRef]

Hänsch, T. W.

K. Predehl, G. Grosche, S. M. F. Raupach, S. Droste, O. Terra, J. Alnis, Th. Legero, T. W. Hänsch, Th. Udem, R. Holzwarth, and H. Schnatz, Science 336, 441 (2012).
[CrossRef]

He, H.

He, Y.

Holman, K. W.

S. M. Foreman, K. W. Holman, D. D. Hudson, D. J. Jones, and J. Ye, Rev. Sci. Instrum. 78, 021101 (2007).
[CrossRef]

Holzwarth, R.

K. Predehl, G. Grosche, S. M. F. Raupach, S. Droste, O. Terra, J. Alnis, Th. Legero, T. W. Hänsch, Th. Udem, R. Holzwarth, and H. Schnatz, Science 336, 441 (2012).
[CrossRef]

Hosokawa, M.

Hu, L.

Hu, W.

Huang, G.

Huang, S.

S. Huang and R. L. Tjoelker, “Stabilized photonic links for deep space tracking, navigation, and radio science applications,” in 43rd Annual Precise Time, and Time Interval (PTTI) Systems, and Applications Meeting (2012), pp. 1–8.

Hudson, D. D.

S. M. Foreman, K. W. Holman, D. D. Hudson, D. J. Jones, and J. Ye, Rev. Sci. Instrum. 78, 021101 (2007).
[CrossRef]

Ji, Y.

Jones, D. J.

S. M. Foreman, K. W. Holman, D. D. Hudson, D. J. Jones, and J. Ye, Rev. Sci. Instrum. 78, 021101 (2007).
[CrossRef]

Kartner, F. X.

Kim, J.

Kiuchi, H.

H. Kiuchi, IEEE Trans. Microwave Theor. Tech. 56, 1493 (2008).
[CrossRef]

Kumagai, M.

Lea, S. N.

Legero, Th.

K. Predehl, G. Grosche, S. M. F. Raupach, S. Droste, O. Terra, J. Alnis, Th. Legero, T. W. Hänsch, Th. Udem, R. Holzwarth, and H. Schnatz, Science 336, 441 (2012).
[CrossRef]

Li, J.

Li, T. C.

B. Wang, C. Gao, W. L. Chen, J. Miao, X. Zhu, Y. Bai, J. W. Zhang, Y. Y. Feng, T. C. Li, and L. J. Wang, Sci. Rep. 2, 556 (2012).

Lin, J.

Loehl, F.

Luiten, A. N.

Margolis, H. S.

Marra, G.

Miao, J.

B. Wang, C. Gao, W. L. Chen, J. Miao, X. Zhu, Y. Bai, J. W. Zhang, Y. Y. Feng, T. C. Li, and L. J. Wang, Sci. Rep. 2, 556 (2012).

Nagano, S.

Orr, B. J.

Pan, S.

Petropoulos, P.

Predehl, K.

K. Predehl, G. Grosche, S. M. F. Raupach, S. Droste, O. Terra, J. Alnis, Th. Legero, T. W. Hänsch, Th. Udem, R. Holzwarth, and H. Schnatz, Science 336, 441 (2012).
[CrossRef]

Raupach, S. M. F.

K. Predehl, G. Grosche, S. M. F. Raupach, S. Droste, O. Terra, J. Alnis, Th. Legero, T. W. Hänsch, Th. Udem, R. Holzwarth, and H. Schnatz, Science 336, 441 (2012).
[CrossRef]

Ren, T.

Richardson, D. J.

Schlarb, H.

Schnatz, H.

K. Predehl, G. Grosche, S. M. F. Raupach, S. Droste, O. Terra, J. Alnis, Th. Legero, T. W. Hänsch, Th. Udem, R. Holzwarth, and H. Schnatz, Science 336, 441 (2012).
[CrossRef]

Shen, J.

Shillue, B.

J. F. Cliche and B. Shillue, IEEE Control Syst. Mag. 26(1), 19 (2006).
[CrossRef]

Slavik, R.

Staples, J. W.

Tang, G.

Terra, O.

K. Predehl, G. Grosche, S. M. F. Raupach, S. Droste, O. Terra, J. Alnis, Th. Legero, T. W. Hänsch, Th. Udem, R. Holzwarth, and H. Schnatz, Science 336, 441 (2012).
[CrossRef]

Tjoelker, R. L.

S. Huang and R. L. Tjoelker, “Stabilized photonic links for deep space tracking, navigation, and radio science applications,” in 43rd Annual Precise Time, and Time Interval (PTTI) Systems, and Applications Meeting (2012), pp. 1–8.

Udem, Th.

K. Predehl, G. Grosche, S. M. F. Raupach, S. Droste, O. Terra, J. Alnis, Th. Legero, T. W. Hänsch, Th. Udem, R. Holzwarth, and H. Schnatz, Science 336, 441 (2012).
[CrossRef]

Wang, B.

B. Wang, C. Gao, W. L. Chen, J. Miao, X. Zhu, Y. Bai, J. W. Zhang, Y. Y. Feng, T. C. Li, and L. J. Wang, Sci. Rep. 2, 556 (2012).

Wang, L. J.

B. Wang, C. Gao, W. L. Chen, J. Miao, X. Zhu, Y. Bai, J. W. Zhang, Y. Y. Feng, T. C. Li, and L. J. Wang, Sci. Rep. 2, 556 (2012).

Wang, W. Q.

W. Q. Wang, IEEE Trans. Aerosp. Electron. Syst. 45, 1040 (2009).
[CrossRef]

Warrington, R. B.

Wei, J.

Wilcox, R.

Wong, F. N. C.

Wouters, M. J.

Wu, G.

Wu, Z.

Xie, W.

Xu, K.

Ye, J.

S. M. Foreman, K. W. Holman, D. D. Hudson, D. J. Jones, and J. Ye, Rev. Sci. Instrum. 78, 021101 (2007).
[CrossRef]

Yin, F.

Zhang, A.

Zhang, F.

Zhang, J. W.

B. Wang, C. Gao, W. L. Chen, J. Miao, X. Zhu, Y. Bai, J. W. Zhang, Y. Y. Feng, T. C. Li, and L. J. Wang, Sci. Rep. 2, 556 (2012).

Zhang, L.

Zhang, Z.

Zhou, Y.

Zhu, X.

B. Wang, C. Gao, W. L. Chen, J. Miao, X. Zhu, Y. Bai, J. W. Zhang, Y. Y. Feng, T. C. Li, and L. J. Wang, Sci. Rep. 2, 556 (2012).

Zou, W.

IEEE Control Syst. Mag. (1)

J. F. Cliche and B. Shillue, IEEE Control Syst. Mag. 26(1), 19 (2006).
[CrossRef]

IEEE Trans. Aerosp. Electron. Syst. (1)

W. Q. Wang, IEEE Trans. Aerosp. Electron. Syst. 45, 1040 (2009).
[CrossRef]

IEEE Trans. Microwave Theor. Tech. (1)

H. Kiuchi, IEEE Trans. Microwave Theor. Tech. 56, 1493 (2008).
[CrossRef]

Opt. Express (2)

Opt. Lett. (10)

Rev. Sci. Instrum. (1)

S. M. Foreman, K. W. Holman, D. D. Hudson, D. J. Jones, and J. Ye, Rev. Sci. Instrum. 78, 021101 (2007).
[CrossRef]

Sci. Rep. (1)

B. Wang, C. Gao, W. L. Chen, J. Miao, X. Zhu, Y. Bai, J. W. Zhang, Y. Y. Feng, T. C. Li, and L. J. Wang, Sci. Rep. 2, 556 (2012).

Science (1)

K. Predehl, G. Grosche, S. M. F. Raupach, S. Droste, O. Terra, J. Alnis, Th. Legero, T. W. Hänsch, Th. Udem, R. Holzwarth, and H. Schnatz, Science 336, 441 (2012).
[CrossRef]

Other (1)

S. Huang and R. L. Tjoelker, “Stabilized photonic links for deep space tracking, navigation, and radio science applications,” in 43rd Annual Precise Time, and Time Interval (PTTI) Systems, and Applications Meeting (2012), pp. 1–8.

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Figures (3)

Fig. 1.
Fig. 1.

Schematic diagram of the stable RF phase distribution scheme.

Fig. 2.
Fig. 2.

Measured waveforms of the transmitted RF signal at 9.6 GHz at the local station without (a)–(d), and with (e)–(h) phase-drift auto-cancellation.

Fig. 3.
Fig. 3.

Measured phase drifts of the transmitted RF signal at 9.6 GHz without and with phase-drift auto-cancellation when the TODL was tuned from 0 to 300 ps.

Equations (7)

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

E1=cos(ωst+φs),
E2=cos{ωs[t(T0+ΔT1)]+φs]},
E3=cos{ωs[t(T0+ΔT1)]+φs]2}.
E4=cos{3ωs[t(T0+ΔT1)]+3φs]2}.
E5=cos{ωs[t(T0+ΔT1)(T0+ΔT2)(T0+ΔT3)]+φs2},
E6=cos[ωst+φs+ωs(ΔT2+ΔT32ΔT1)2].
E6=cos(ωst+φs).

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