Abstract

We report on the first, to our knowledge, experimental observation of spectral Bloch oscillations in an optical fiber employing the interaction between a probe signal and a traveling-wave periodic potential. The spectrum of weak probe pulses is shown to oscillate on account of their group-velocity mismatch to the periodic field. The behavior of a cw probe spectrum reveals the actual discrete nature of the effect. Recurrences of the spectrum after one and two Bloch periods are demonstrated.

© 2009 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. U. Peschel, C. Bersch, and G. Onishchukov, Cent. Eur. J. Phys. 6, 619 (2008).
    [CrossRef]
  2. C. Zener, Proc. R. Soc. London Ser. A 145, 523 (1934).
    [CrossRef]
  3. C. M. de Sterke, J. N. Bright, P. A. Krug, and T. E. Hammon, Phys. Rev. E 57, 2365 (1998).
    [CrossRef]
  4. R. Sapienza, P. Costantino, D. Wiersma, M. Ghulinyan, C. J. Oton, and L. Pavesi, Phys. Rev. Lett. 91, 263902 (2003).
    [CrossRef]
  5. R. Morandotti, U. Peschel, J. S. Aitchinson, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 4756 (1999).
    [CrossRef]
  6. T. Pertsch, P. Dannberg, W. Elflein, A. Bräuer, and F. Lederer, Phys. Rev. Lett. 83, 4752 (1999).
    [CrossRef]
  7. H. Trompeter, W. Krolikowski, D. N. Neshev, A. S. Desyatnikov, A. A. Sukhorukov, Y. S. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, Phys. Rev. Lett. 96, 053903 (2006).
    [CrossRef] [PubMed]
  8. U. Peschel, T. Pertsch, and F. Lederer, Opt. Lett. 23, 1701 (1998).
    [CrossRef]
  9. G. P. Agrawal, Nonlinear Fiber Optics (Academic Press, 1995), 4th ed.
  10. D. Marcuse, A. Chraplyvy, and R. Tkach, J. Lightwave Technol. 9, 121 (1991).
    [CrossRef]

2008 (1)

U. Peschel, C. Bersch, and G. Onishchukov, Cent. Eur. J. Phys. 6, 619 (2008).
[CrossRef]

2006 (1)

H. Trompeter, W. Krolikowski, D. N. Neshev, A. S. Desyatnikov, A. A. Sukhorukov, Y. S. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, Phys. Rev. Lett. 96, 053903 (2006).
[CrossRef] [PubMed]

2003 (1)

R. Sapienza, P. Costantino, D. Wiersma, M. Ghulinyan, C. J. Oton, and L. Pavesi, Phys. Rev. Lett. 91, 263902 (2003).
[CrossRef]

1999 (2)

R. Morandotti, U. Peschel, J. S. Aitchinson, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 4756 (1999).
[CrossRef]

T. Pertsch, P. Dannberg, W. Elflein, A. Bräuer, and F. Lederer, Phys. Rev. Lett. 83, 4752 (1999).
[CrossRef]

1998 (2)

U. Peschel, T. Pertsch, and F. Lederer, Opt. Lett. 23, 1701 (1998).
[CrossRef]

C. M. de Sterke, J. N. Bright, P. A. Krug, and T. E. Hammon, Phys. Rev. E 57, 2365 (1998).
[CrossRef]

1991 (1)

D. Marcuse, A. Chraplyvy, and R. Tkach, J. Lightwave Technol. 9, 121 (1991).
[CrossRef]

1934 (1)

C. Zener, Proc. R. Soc. London Ser. A 145, 523 (1934).
[CrossRef]

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics (Academic Press, 1995), 4th ed.

Aitchinson, J. S.

R. Morandotti, U. Peschel, J. S. Aitchinson, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 4756 (1999).
[CrossRef]

Bersch, C.

U. Peschel, C. Bersch, and G. Onishchukov, Cent. Eur. J. Phys. 6, 619 (2008).
[CrossRef]

Bräuer, A.

T. Pertsch, P. Dannberg, W. Elflein, A. Bräuer, and F. Lederer, Phys. Rev. Lett. 83, 4752 (1999).
[CrossRef]

Bright, J. N.

C. M. de Sterke, J. N. Bright, P. A. Krug, and T. E. Hammon, Phys. Rev. E 57, 2365 (1998).
[CrossRef]

Chraplyvy, A.

D. Marcuse, A. Chraplyvy, and R. Tkach, J. Lightwave Technol. 9, 121 (1991).
[CrossRef]

Costantino, P.

R. Sapienza, P. Costantino, D. Wiersma, M. Ghulinyan, C. J. Oton, and L. Pavesi, Phys. Rev. Lett. 91, 263902 (2003).
[CrossRef]

Dannberg, P.

T. Pertsch, P. Dannberg, W. Elflein, A. Bräuer, and F. Lederer, Phys. Rev. Lett. 83, 4752 (1999).
[CrossRef]

de Sterke, C. M.

C. M. de Sterke, J. N. Bright, P. A. Krug, and T. E. Hammon, Phys. Rev. E 57, 2365 (1998).
[CrossRef]

Desyatnikov, A. S.

H. Trompeter, W. Krolikowski, D. N. Neshev, A. S. Desyatnikov, A. A. Sukhorukov, Y. S. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, Phys. Rev. Lett. 96, 053903 (2006).
[CrossRef] [PubMed]

Eisenberg, H. S.

R. Morandotti, U. Peschel, J. S. Aitchinson, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 4756 (1999).
[CrossRef]

Elflein, W.

T. Pertsch, P. Dannberg, W. Elflein, A. Bräuer, and F. Lederer, Phys. Rev. Lett. 83, 4752 (1999).
[CrossRef]

Ghulinyan, M.

R. Sapienza, P. Costantino, D. Wiersma, M. Ghulinyan, C. J. Oton, and L. Pavesi, Phys. Rev. Lett. 91, 263902 (2003).
[CrossRef]

Hammon, T. E.

C. M. de Sterke, J. N. Bright, P. A. Krug, and T. E. Hammon, Phys. Rev. E 57, 2365 (1998).
[CrossRef]

Kivshar, Y. S.

H. Trompeter, W. Krolikowski, D. N. Neshev, A. S. Desyatnikov, A. A. Sukhorukov, Y. S. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, Phys. Rev. Lett. 96, 053903 (2006).
[CrossRef] [PubMed]

Krolikowski, W.

H. Trompeter, W. Krolikowski, D. N. Neshev, A. S. Desyatnikov, A. A. Sukhorukov, Y. S. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, Phys. Rev. Lett. 96, 053903 (2006).
[CrossRef] [PubMed]

Krug, P. A.

C. M. de Sterke, J. N. Bright, P. A. Krug, and T. E. Hammon, Phys. Rev. E 57, 2365 (1998).
[CrossRef]

Lederer, F.

H. Trompeter, W. Krolikowski, D. N. Neshev, A. S. Desyatnikov, A. A. Sukhorukov, Y. S. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, Phys. Rev. Lett. 96, 053903 (2006).
[CrossRef] [PubMed]

T. Pertsch, P. Dannberg, W. Elflein, A. Bräuer, and F. Lederer, Phys. Rev. Lett. 83, 4752 (1999).
[CrossRef]

U. Peschel, T. Pertsch, and F. Lederer, Opt. Lett. 23, 1701 (1998).
[CrossRef]

Marcuse, D.

D. Marcuse, A. Chraplyvy, and R. Tkach, J. Lightwave Technol. 9, 121 (1991).
[CrossRef]

Morandotti, R.

R. Morandotti, U. Peschel, J. S. Aitchinson, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 4756 (1999).
[CrossRef]

Neshev, D. N.

H. Trompeter, W. Krolikowski, D. N. Neshev, A. S. Desyatnikov, A. A. Sukhorukov, Y. S. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, Phys. Rev. Lett. 96, 053903 (2006).
[CrossRef] [PubMed]

Onishchukov, G.

U. Peschel, C. Bersch, and G. Onishchukov, Cent. Eur. J. Phys. 6, 619 (2008).
[CrossRef]

Oton, C. J.

R. Sapienza, P. Costantino, D. Wiersma, M. Ghulinyan, C. J. Oton, and L. Pavesi, Phys. Rev. Lett. 91, 263902 (2003).
[CrossRef]

Pavesi, L.

R. Sapienza, P. Costantino, D. Wiersma, M. Ghulinyan, C. J. Oton, and L. Pavesi, Phys. Rev. Lett. 91, 263902 (2003).
[CrossRef]

Pertsch, T.

H. Trompeter, W. Krolikowski, D. N. Neshev, A. S. Desyatnikov, A. A. Sukhorukov, Y. S. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, Phys. Rev. Lett. 96, 053903 (2006).
[CrossRef] [PubMed]

T. Pertsch, P. Dannberg, W. Elflein, A. Bräuer, and F. Lederer, Phys. Rev. Lett. 83, 4752 (1999).
[CrossRef]

U. Peschel, T. Pertsch, and F. Lederer, Opt. Lett. 23, 1701 (1998).
[CrossRef]

Peschel, U.

U. Peschel, C. Bersch, and G. Onishchukov, Cent. Eur. J. Phys. 6, 619 (2008).
[CrossRef]

H. Trompeter, W. Krolikowski, D. N. Neshev, A. S. Desyatnikov, A. A. Sukhorukov, Y. S. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, Phys. Rev. Lett. 96, 053903 (2006).
[CrossRef] [PubMed]

R. Morandotti, U. Peschel, J. S. Aitchinson, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 4756 (1999).
[CrossRef]

U. Peschel, T. Pertsch, and F. Lederer, Opt. Lett. 23, 1701 (1998).
[CrossRef]

Sapienza, R.

R. Sapienza, P. Costantino, D. Wiersma, M. Ghulinyan, C. J. Oton, and L. Pavesi, Phys. Rev. Lett. 91, 263902 (2003).
[CrossRef]

Silberberg, Y.

R. Morandotti, U. Peschel, J. S. Aitchinson, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 4756 (1999).
[CrossRef]

Sukhorukov, A. A.

H. Trompeter, W. Krolikowski, D. N. Neshev, A. S. Desyatnikov, A. A. Sukhorukov, Y. S. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, Phys. Rev. Lett. 96, 053903 (2006).
[CrossRef] [PubMed]

Tkach, R.

D. Marcuse, A. Chraplyvy, and R. Tkach, J. Lightwave Technol. 9, 121 (1991).
[CrossRef]

Trompeter, H.

H. Trompeter, W. Krolikowski, D. N. Neshev, A. S. Desyatnikov, A. A. Sukhorukov, Y. S. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, Phys. Rev. Lett. 96, 053903 (2006).
[CrossRef] [PubMed]

Wiersma, D.

R. Sapienza, P. Costantino, D. Wiersma, M. Ghulinyan, C. J. Oton, and L. Pavesi, Phys. Rev. Lett. 91, 263902 (2003).
[CrossRef]

Zener, C.

C. Zener, Proc. R. Soc. London Ser. A 145, 523 (1934).
[CrossRef]

Cent. Eur. J. Phys. (1)

U. Peschel, C. Bersch, and G. Onishchukov, Cent. Eur. J. Phys. 6, 619 (2008).
[CrossRef]

J. Lightwave Technol. (1)

D. Marcuse, A. Chraplyvy, and R. Tkach, J. Lightwave Technol. 9, 121 (1991).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. E (1)

C. M. de Sterke, J. N. Bright, P. A. Krug, and T. E. Hammon, Phys. Rev. E 57, 2365 (1998).
[CrossRef]

Phys. Rev. Lett. (4)

R. Sapienza, P. Costantino, D. Wiersma, M. Ghulinyan, C. J. Oton, and L. Pavesi, Phys. Rev. Lett. 91, 263902 (2003).
[CrossRef]

R. Morandotti, U. Peschel, J. S. Aitchinson, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 4756 (1999).
[CrossRef]

T. Pertsch, P. Dannberg, W. Elflein, A. Bräuer, and F. Lederer, Phys. Rev. Lett. 83, 4752 (1999).
[CrossRef]

H. Trompeter, W. Krolikowski, D. N. Neshev, A. S. Desyatnikov, A. A. Sukhorukov, Y. S. Kivshar, T. Pertsch, U. Peschel, and F. Lederer, Phys. Rev. Lett. 96, 053903 (2006).
[CrossRef] [PubMed]

Proc. R. Soc. London Ser. A (1)

C. Zener, Proc. R. Soc. London Ser. A 145, 523 (1934).
[CrossRef]

Other (1)

G. P. Agrawal, Nonlinear Fiber Optics (Academic Press, 1995), 4th ed.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1
Fig. 1

Block scheme of the experimental setup: LD cw , cw laser diode; MZM TPF and MZM, Mach–Zehnder modulators; EDFA, erbium-doped fiber amplifier; SW, electrical modulator; SYN, microwave synthesizer; PG, electrical pulse generator; PS, electrical phase shifter; SIG, probe laser (cw or pulsed); HNLF, highly nonlinear fiber; OSA, optical spectrum analyzer. The dashed box marks the part employed for SBS suppression.

Fig. 2
Fig. 2

Output spectrum of 1.5 ps pulses with 20 mW peak power after interacting with a 24 GHz TPF with 280 mW peak power. The wavelength shift relative to the input pulse wavelength is plotted in dependence of the temporal delay between TPF and pulses at the fiber input. (a) shows experimental results and (b) numerical calculations.

Fig. 3
Fig. 3

Interaction of a 600 μ W cw probe with a 36 GHz TPF at 280 mW peak power: (a) shows experimental and (b) numerical results. The spectrum at the fiber output was measured in dependence of the probe wavelength, which is related to the walk-off.

Equations (2)

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

( i z + α n ) a n + κ ( a n + 1 + a n 1 ) = 0 , with n Z .
z B = 2 π α = 2 π Ω Δ .

Metrics