Abstract

A method to induce only one permanent and localized dynamic Brillouin grating in polarization maintaining optical fibers is introduced. The generation of the grating exploits the thumbtack correlation of the chaotic laser signals. A numerical calculation, corroborated by a theoretical analysis, is performed and the grating properties, length, and reflectance determined.

© 2012 Optical Society of America

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References

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  1. K. Y. Song, W. Zou, Z. He, and K. Hotate, Opt. Lett. 33, 926 (2008).
    [CrossRef]
  2. Y. Dong, X. Bao, and L. Chen, Opt. Lett. 34, 2590 (2009).
    [CrossRef]
  3. W. Zou, Z. He, K.-Y. Song, and K. Hotate, Opt. Lett. 34, 1126 (2009).
    [CrossRef]
  4. K. Y. Song, W. Zou, Z. He, and K. Hotate, Opt. Lett. 34, 1381 (2009).
    [CrossRef]
  5. Y. Dong, L. Chen, and X. Bao, Opt. Lett. 35, 193 (2010).
    [CrossRef]
  6. W. Zou, Z. He, and K. Hotate, IEEE Photon. Technol. Lett. 22, 526 (2010).
  7. K. Y. Song, S. Chin, N. Primerov, and L. Thévenaz, J. Lightwave Technol. 28, 2062 (2010).
    [CrossRef]
  8. S. Chin, N. Primerov, K. Y. Song, L. Thévenaz, M. Santagiustina, and L. Ursini, in Nonlinear Photonics(Optical Society of America, 2010), NThA6.
  9. K. Y. Song, K. Lee, and S. B. Lee, Opt. Express 17, 10344 (2009).
    [CrossRef]
  10. N. Primerov, S. Chin, K. Y. Song, and L. Thévenaz, in Proc. Conf Optical Fiber Communication (IEEE/OSA, 2010), OWF6.
  11. W. Zou, Z. He, and K. Hotate, in Proc. Conf. Optical Fiber Communication (IEEE/OSA, 2009), JWA6.
  12. P. Colet and R. Roy, Opt. Lett. 19, 2056 (1994).
    [CrossRef]
  13. A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. Garc-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, Nature 438, 343 (2005).
    [CrossRef]
  14. V. Annovazzi-Lodi, C. Antonelli, G. Aromataris, M. Benedetti, M. Guglielmucci, A. Mecozzi, S. Merlo, M. Santagiustina, and L. Ursini, Fiber Integr. Opt. 27, 308 (2008).
    [CrossRef]
  15. L. Ursini, M. Santagiustina, and V. Annovazzi-Lodi, IEEE Photon. Technol. Lett. 20, 401 (2008).
    [CrossRef]
  16. F.-Y. Lin and J.-M. Liu, IEEE J. Quantum Electron. 40, 1732 (2004).
    [CrossRef]
  17. F.-Y. Lin and J.-M. Liu, IEEE J. Sel. Top. Quantum Electron. 10, 991 (2004).
    [CrossRef]
  18. Y. Wang, B. Wang, and A. Wang, IEEE Photon. Technol. Lett. 20, 1636 (2008).
    [CrossRef]
  19. A. Mecozzi, C. Antonelli, V. Annovazzi-Lodi, and M. Benedetti, Opt. Lett. 34, 1387 (2009).
    [CrossRef]
  20. V. P. Kalosha, W. Li, F. Wang, L. Chen, and X. Bao, Opt. Lett. 33, 2848 (2008).
    [CrossRef]
  21. K. Y. Song, K. S. Abedin, K. Hotate, M. González Herráez, and L. Thévenaz, Opt. Express 14, 5862 (2006).

2010 (3)

2009 (5)

2008 (5)

V. P. Kalosha, W. Li, F. Wang, L. Chen, and X. Bao, Opt. Lett. 33, 2848 (2008).
[CrossRef]

Y. Wang, B. Wang, and A. Wang, IEEE Photon. Technol. Lett. 20, 1636 (2008).
[CrossRef]

V. Annovazzi-Lodi, C. Antonelli, G. Aromataris, M. Benedetti, M. Guglielmucci, A. Mecozzi, S. Merlo, M. Santagiustina, and L. Ursini, Fiber Integr. Opt. 27, 308 (2008).
[CrossRef]

L. Ursini, M. Santagiustina, and V. Annovazzi-Lodi, IEEE Photon. Technol. Lett. 20, 401 (2008).
[CrossRef]

K. Y. Song, W. Zou, Z. He, and K. Hotate, Opt. Lett. 33, 926 (2008).
[CrossRef]

2006 (1)

K. Y. Song, K. S. Abedin, K. Hotate, M. González Herráez, and L. Thévenaz, Opt. Express 14, 5862 (2006).

2005 (1)

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. Garc-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, Nature 438, 343 (2005).
[CrossRef]

2004 (2)

F.-Y. Lin and J.-M. Liu, IEEE J. Quantum Electron. 40, 1732 (2004).
[CrossRef]

F.-Y. Lin and J.-M. Liu, IEEE J. Sel. Top. Quantum Electron. 10, 991 (2004).
[CrossRef]

1994 (1)

Abedin, K. S.

K. Y. Song, K. S. Abedin, K. Hotate, M. González Herráez, and L. Thévenaz, Opt. Express 14, 5862 (2006).

Annovazzi-Lodi, V.

A. Mecozzi, C. Antonelli, V. Annovazzi-Lodi, and M. Benedetti, Opt. Lett. 34, 1387 (2009).
[CrossRef]

L. Ursini, M. Santagiustina, and V. Annovazzi-Lodi, IEEE Photon. Technol. Lett. 20, 401 (2008).
[CrossRef]

V. Annovazzi-Lodi, C. Antonelli, G. Aromataris, M. Benedetti, M. Guglielmucci, A. Mecozzi, S. Merlo, M. Santagiustina, and L. Ursini, Fiber Integr. Opt. 27, 308 (2008).
[CrossRef]

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. Garc-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, Nature 438, 343 (2005).
[CrossRef]

Antonelli, C.

A. Mecozzi, C. Antonelli, V. Annovazzi-Lodi, and M. Benedetti, Opt. Lett. 34, 1387 (2009).
[CrossRef]

V. Annovazzi-Lodi, C. Antonelli, G. Aromataris, M. Benedetti, M. Guglielmucci, A. Mecozzi, S. Merlo, M. Santagiustina, and L. Ursini, Fiber Integr. Opt. 27, 308 (2008).
[CrossRef]

Argyris, A.

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. Garc-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, Nature 438, 343 (2005).
[CrossRef]

Aromataris, G.

V. Annovazzi-Lodi, C. Antonelli, G. Aromataris, M. Benedetti, M. Guglielmucci, A. Mecozzi, S. Merlo, M. Santagiustina, and L. Ursini, Fiber Integr. Opt. 27, 308 (2008).
[CrossRef]

Bao, X.

Benedetti, M.

A. Mecozzi, C. Antonelli, V. Annovazzi-Lodi, and M. Benedetti, Opt. Lett. 34, 1387 (2009).
[CrossRef]

V. Annovazzi-Lodi, C. Antonelli, G. Aromataris, M. Benedetti, M. Guglielmucci, A. Mecozzi, S. Merlo, M. Santagiustina, and L. Ursini, Fiber Integr. Opt. 27, 308 (2008).
[CrossRef]

Chen, L.

Chin, S.

K. Y. Song, S. Chin, N. Primerov, and L. Thévenaz, J. Lightwave Technol. 28, 2062 (2010).
[CrossRef]

S. Chin, N. Primerov, K. Y. Song, L. Thévenaz, M. Santagiustina, and L. Ursini, in Nonlinear Photonics(Optical Society of America, 2010), NThA6.

N. Primerov, S. Chin, K. Y. Song, and L. Thévenaz, in Proc. Conf Optical Fiber Communication (IEEE/OSA, 2010), OWF6.

Colet, P.

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. Garc-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, Nature 438, 343 (2005).
[CrossRef]

P. Colet and R. Roy, Opt. Lett. 19, 2056 (1994).
[CrossRef]

Dong, Y.

Fischer, I.

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. Garc-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, Nature 438, 343 (2005).
[CrossRef]

Garc-Ojalvo, J.

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. Garc-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, Nature 438, 343 (2005).
[CrossRef]

Guglielmucci, M.

V. Annovazzi-Lodi, C. Antonelli, G. Aromataris, M. Benedetti, M. Guglielmucci, A. Mecozzi, S. Merlo, M. Santagiustina, and L. Ursini, Fiber Integr. Opt. 27, 308 (2008).
[CrossRef]

He, Z.

W. Zou, Z. He, and K. Hotate, IEEE Photon. Technol. Lett. 22, 526 (2010).

W. Zou, Z. He, K.-Y. Song, and K. Hotate, Opt. Lett. 34, 1126 (2009).
[CrossRef]

K. Y. Song, W. Zou, Z. He, and K. Hotate, Opt. Lett. 34, 1381 (2009).
[CrossRef]

K. Y. Song, W. Zou, Z. He, and K. Hotate, Opt. Lett. 33, 926 (2008).
[CrossRef]

W. Zou, Z. He, and K. Hotate, in Proc. Conf. Optical Fiber Communication (IEEE/OSA, 2009), JWA6.

Herráez, M. González

K. Y. Song, K. S. Abedin, K. Hotate, M. González Herráez, and L. Thévenaz, Opt. Express 14, 5862 (2006).

Hotate, K.

W. Zou, Z. He, and K. Hotate, IEEE Photon. Technol. Lett. 22, 526 (2010).

K. Y. Song, W. Zou, Z. He, and K. Hotate, Opt. Lett. 34, 1381 (2009).
[CrossRef]

W. Zou, Z. He, K.-Y. Song, and K. Hotate, Opt. Lett. 34, 1126 (2009).
[CrossRef]

K. Y. Song, W. Zou, Z. He, and K. Hotate, Opt. Lett. 33, 926 (2008).
[CrossRef]

K. Y. Song, K. S. Abedin, K. Hotate, M. González Herráez, and L. Thévenaz, Opt. Express 14, 5862 (2006).

W. Zou, Z. He, and K. Hotate, in Proc. Conf. Optical Fiber Communication (IEEE/OSA, 2009), JWA6.

Kalosha, V. P.

Larger, L.

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. Garc-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, Nature 438, 343 (2005).
[CrossRef]

Lee, K.

Lee, S. B.

Li, W.

Lin, F.-Y.

F.-Y. Lin and J.-M. Liu, IEEE J. Quantum Electron. 40, 1732 (2004).
[CrossRef]

F.-Y. Lin and J.-M. Liu, IEEE J. Sel. Top. Quantum Electron. 10, 991 (2004).
[CrossRef]

Liu, J.-M.

F.-Y. Lin and J.-M. Liu, IEEE J. Sel. Top. Quantum Electron. 10, 991 (2004).
[CrossRef]

F.-Y. Lin and J.-M. Liu, IEEE J. Quantum Electron. 40, 1732 (2004).
[CrossRef]

Mecozzi, A.

A. Mecozzi, C. Antonelli, V. Annovazzi-Lodi, and M. Benedetti, Opt. Lett. 34, 1387 (2009).
[CrossRef]

V. Annovazzi-Lodi, C. Antonelli, G. Aromataris, M. Benedetti, M. Guglielmucci, A. Mecozzi, S. Merlo, M. Santagiustina, and L. Ursini, Fiber Integr. Opt. 27, 308 (2008).
[CrossRef]

Merlo, S.

V. Annovazzi-Lodi, C. Antonelli, G. Aromataris, M. Benedetti, M. Guglielmucci, A. Mecozzi, S. Merlo, M. Santagiustina, and L. Ursini, Fiber Integr. Opt. 27, 308 (2008).
[CrossRef]

Mirasso, C. R.

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. Garc-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, Nature 438, 343 (2005).
[CrossRef]

Pesquera, L.

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. Garc-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, Nature 438, 343 (2005).
[CrossRef]

Primerov, N.

K. Y. Song, S. Chin, N. Primerov, and L. Thévenaz, J. Lightwave Technol. 28, 2062 (2010).
[CrossRef]

N. Primerov, S. Chin, K. Y. Song, and L. Thévenaz, in Proc. Conf Optical Fiber Communication (IEEE/OSA, 2010), OWF6.

S. Chin, N. Primerov, K. Y. Song, L. Thévenaz, M. Santagiustina, and L. Ursini, in Nonlinear Photonics(Optical Society of America, 2010), NThA6.

Roy, R.

Santagiustina, M.

L. Ursini, M. Santagiustina, and V. Annovazzi-Lodi, IEEE Photon. Technol. Lett. 20, 401 (2008).
[CrossRef]

V. Annovazzi-Lodi, C. Antonelli, G. Aromataris, M. Benedetti, M. Guglielmucci, A. Mecozzi, S. Merlo, M. Santagiustina, and L. Ursini, Fiber Integr. Opt. 27, 308 (2008).
[CrossRef]

S. Chin, N. Primerov, K. Y. Song, L. Thévenaz, M. Santagiustina, and L. Ursini, in Nonlinear Photonics(Optical Society of America, 2010), NThA6.

Shore, K. A.

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. Garc-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, Nature 438, 343 (2005).
[CrossRef]

Song, K. Y.

K. Y. Song, S. Chin, N. Primerov, and L. Thévenaz, J. Lightwave Technol. 28, 2062 (2010).
[CrossRef]

K. Y. Song, W. Zou, Z. He, and K. Hotate, Opt. Lett. 34, 1381 (2009).
[CrossRef]

K. Y. Song, K. Lee, and S. B. Lee, Opt. Express 17, 10344 (2009).
[CrossRef]

K. Y. Song, W. Zou, Z. He, and K. Hotate, Opt. Lett. 33, 926 (2008).
[CrossRef]

K. Y. Song, K. S. Abedin, K. Hotate, M. González Herráez, and L. Thévenaz, Opt. Express 14, 5862 (2006).

S. Chin, N. Primerov, K. Y. Song, L. Thévenaz, M. Santagiustina, and L. Ursini, in Nonlinear Photonics(Optical Society of America, 2010), NThA6.

N. Primerov, S. Chin, K. Y. Song, and L. Thévenaz, in Proc. Conf Optical Fiber Communication (IEEE/OSA, 2010), OWF6.

Song, K.-Y.

Syvridis, D.

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. Garc-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, Nature 438, 343 (2005).
[CrossRef]

Thévenaz, L.

K. Y. Song, S. Chin, N. Primerov, and L. Thévenaz, J. Lightwave Technol. 28, 2062 (2010).
[CrossRef]

K. Y. Song, K. S. Abedin, K. Hotate, M. González Herráez, and L. Thévenaz, Opt. Express 14, 5862 (2006).

N. Primerov, S. Chin, K. Y. Song, and L. Thévenaz, in Proc. Conf Optical Fiber Communication (IEEE/OSA, 2010), OWF6.

S. Chin, N. Primerov, K. Y. Song, L. Thévenaz, M. Santagiustina, and L. Ursini, in Nonlinear Photonics(Optical Society of America, 2010), NThA6.

Ursini, L.

V. Annovazzi-Lodi, C. Antonelli, G. Aromataris, M. Benedetti, M. Guglielmucci, A. Mecozzi, S. Merlo, M. Santagiustina, and L. Ursini, Fiber Integr. Opt. 27, 308 (2008).
[CrossRef]

L. Ursini, M. Santagiustina, and V. Annovazzi-Lodi, IEEE Photon. Technol. Lett. 20, 401 (2008).
[CrossRef]

S. Chin, N. Primerov, K. Y. Song, L. Thévenaz, M. Santagiustina, and L. Ursini, in Nonlinear Photonics(Optical Society of America, 2010), NThA6.

Wang, A.

Y. Wang, B. Wang, and A. Wang, IEEE Photon. Technol. Lett. 20, 1636 (2008).
[CrossRef]

Wang, B.

Y. Wang, B. Wang, and A. Wang, IEEE Photon. Technol. Lett. 20, 1636 (2008).
[CrossRef]

Wang, F.

Wang, Y.

Y. Wang, B. Wang, and A. Wang, IEEE Photon. Technol. Lett. 20, 1636 (2008).
[CrossRef]

Zou, W.

W. Zou, Z. He, and K. Hotate, IEEE Photon. Technol. Lett. 22, 526 (2010).

W. Zou, Z. He, K.-Y. Song, and K. Hotate, Opt. Lett. 34, 1126 (2009).
[CrossRef]

K. Y. Song, W. Zou, Z. He, and K. Hotate, Opt. Lett. 34, 1381 (2009).
[CrossRef]

K. Y. Song, W. Zou, Z. He, and K. Hotate, Opt. Lett. 33, 926 (2008).
[CrossRef]

W. Zou, Z. He, and K. Hotate, in Proc. Conf. Optical Fiber Communication (IEEE/OSA, 2009), JWA6.

Fiber Integr. Opt. (1)

V. Annovazzi-Lodi, C. Antonelli, G. Aromataris, M. Benedetti, M. Guglielmucci, A. Mecozzi, S. Merlo, M. Santagiustina, and L. Ursini, Fiber Integr. Opt. 27, 308 (2008).
[CrossRef]

IEEE J. Quantum Electron. (1)

F.-Y. Lin and J.-M. Liu, IEEE J. Quantum Electron. 40, 1732 (2004).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (1)

F.-Y. Lin and J.-M. Liu, IEEE J. Sel. Top. Quantum Electron. 10, 991 (2004).
[CrossRef]

IEEE Photon. Technol. Lett. (3)

Y. Wang, B. Wang, and A. Wang, IEEE Photon. Technol. Lett. 20, 1636 (2008).
[CrossRef]

L. Ursini, M. Santagiustina, and V. Annovazzi-Lodi, IEEE Photon. Technol. Lett. 20, 401 (2008).
[CrossRef]

W. Zou, Z. He, and K. Hotate, IEEE Photon. Technol. Lett. 22, 526 (2010).

J. Lightwave Technol. (1)

Nature (1)

A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, J. Garc-Ojalvo, C. R. Mirasso, L. Pesquera, and K. A. Shore, Nature 438, 343 (2005).
[CrossRef]

Opt. Express (2)

K. Y. Song, K. Lee, and S. B. Lee, Opt. Express 17, 10344 (2009).
[CrossRef]

K. Y. Song, K. S. Abedin, K. Hotate, M. González Herráez, and L. Thévenaz, Opt. Express 14, 5862 (2006).

Opt. Lett. (8)

Other (3)

N. Primerov, S. Chin, K. Y. Song, and L. Thévenaz, in Proc. Conf Optical Fiber Communication (IEEE/OSA, 2010), OWF6.

W. Zou, Z. He, and K. Hotate, in Proc. Conf. Optical Fiber Communication (IEEE/OSA, 2009), JWA6.

S. Chin, N. Primerov, K. Y. Song, L. Thévenaz, M. Santagiustina, and L. Ursini, in Nonlinear Photonics(Optical Society of America, 2010), NThA6.

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Figures (4)

Fig. 1.
Fig. 1.

Setup scheme. LD: laser diode; CL: chaotic laser; MOD: modulator; A: optical amplifier (EDFA); PG: pulse generator; PD: photodiode; BPF: bandpass filter; DL: tunable RF delay line; PBC: polarization beam combiner; PMF: polarization maintaining fiber. The blue lines represent the path of an optical signal; the red lines represent the path of the electrical signal.

Fig. 2.
Fig. 2.

Photodetected CL emission: (a) in the time domain; (b) spectrum.

Fig. 3.
Fig. 3.

(a) DBG peak amplitude (at z=z0) normalized by C0, as a function of time; the black curve is from numerical solutions, the dashed curve is the theoretical value Q¯0(t). (b) normalized DBG as a function of time and space (spatial coordinates are shifted such that z0=0).

Fig. 4.
Fig. 4.

Output pulse backscattered by the DBG (black curve). The red curve refers to the read pulse.

Equations (6)

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

zAw1+β1stAw1=ηgBQAw2,
zAw2+β1stAw2=ηgBQ*Aw1,
zAout+β1ftAout=ηgBQAr,
zAr+β1ftAr=ηgBQ*Aout,
2τBtQ+Q=Aw1Aw2*+AoutAr*,
τQ0(τ)=Q0(τ)+C(τ),

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