Abstract

Suppression of chaotic instability arising in a Nd:YVO4 microchip laser subject to frequency-shifted optical feedback is accomplished by injection of one of the periodic orbits into the bifurcation region of another chaotic system driven by pump modulation. Various periodic patterns, which do not exist in the original chaotic attractor, can be extracted from the chaotic oscillation by use of this nonfeedback chaos-control technique.

© 1998 Optical Society of America

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  1. R. Roy, T. W. Murphy, T. D. Maier, Z. Gills, and E. R. Hunt, Phys. Rev. Lett. 68, 1259 (1992).
    [CrossRef] [PubMed]
  2. A. T. Ryan, G. P. Agrawal, G. R. Gray, and E. C. Gage, IEEE J. Quantum Electron. 30, 668 (1994).
    [CrossRef]
  3. Y. Liu, N. Kikuchi, and J. Ohtsubo, Phys. Rev. E 51, R2697 (1995).
    [CrossRef]
  4. R. Meucci, W. Gadomski, M. Ciofini, and F. T. Arecchi, Phys. Rev. E 49, R2528 (1994).
    [CrossRef]
  5. T. Tsukamoto, M. Tachikawa, T. Sugawara, and T. Shimizu, Phys. Rev. A 52, 1561 (1995).
    [CrossRef] [PubMed]
  6. K. Otsuka, J.-L. Chern, and J.-S. Lih, Opt. Lett. 22, 292 (1997).
    [CrossRef] [PubMed]
  7. A. Uchida, T. Sato, M. Takeoka, and F. Kannari, Jpn. J. Appl. Phys. Part 2 36, L912 (1997).
    [CrossRef]
  8. E. Ott, C. Grebogi, and J. A. Yorke, Phys. Rev. Lett. 64, 1196 (1990).
    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
  11. K. Otsuka, Jpn. J. Appl. Phys. 31, L1546 (1992).
    [CrossRef]
  12. C. L. Tang, H. Statz, and G. deMars, J. Appl. Phys. 34, 2289 (1963).
    [CrossRef]

1997

K. Otsuka, J.-L. Chern, and J.-S. Lih, Opt. Lett. 22, 292 (1997).
[CrossRef] [PubMed]

A. Uchida, T. Sato, M. Takeoka, and F. Kannari, Jpn. J. Appl. Phys. Part 2 36, L912 (1997).
[CrossRef]

1995

T. Tsukamoto, M. Tachikawa, T. Sugawara, and T. Shimizu, Phys. Rev. A 52, 1561 (1995).
[CrossRef] [PubMed]

Y. Liu, N. Kikuchi, and J. Ohtsubo, Phys. Rev. E 51, R2697 (1995).
[CrossRef]

S. Okamoto, H. Takeda, and F. Kannari, Rev. Sci. Instrum. 66, 3116 (1995).
[CrossRef]

1994

R. Meucci, W. Gadomski, M. Ciofini, and F. T. Arecchi, Phys. Rev. E 49, R2528 (1994).
[CrossRef]

A. T. Ryan, G. P. Agrawal, G. R. Gray, and E. C. Gage, IEEE J. Quantum Electron. 30, 668 (1994).
[CrossRef]

1993

P. Mandel, M. Georgiou, K. Otsuka, and D. Pieroux, Opt. Commun. 100, 341 (1993).
[CrossRef]

1992

R. Roy, T. W. Murphy, T. D. Maier, Z. Gills, and E. R. Hunt, Phys. Rev. Lett. 68, 1259 (1992).
[CrossRef] [PubMed]

K. Otsuka, Jpn. J. Appl. Phys. 31, L1546 (1992).
[CrossRef]

1990

E. Ott, C. Grebogi, and J. A. Yorke, Phys. Rev. Lett. 64, 1196 (1990).
[CrossRef] [PubMed]

1963

C. L. Tang, H. Statz, and G. deMars, J. Appl. Phys. 34, 2289 (1963).
[CrossRef]

Agrawal, G. P.

A. T. Ryan, G. P. Agrawal, G. R. Gray, and E. C. Gage, IEEE J. Quantum Electron. 30, 668 (1994).
[CrossRef]

Arecchi, F. T.

R. Meucci, W. Gadomski, M. Ciofini, and F. T. Arecchi, Phys. Rev. E 49, R2528 (1994).
[CrossRef]

Chern, J.-L.

Ciofini, M.

R. Meucci, W. Gadomski, M. Ciofini, and F. T. Arecchi, Phys. Rev. E 49, R2528 (1994).
[CrossRef]

deMars, G.

C. L. Tang, H. Statz, and G. deMars, J. Appl. Phys. 34, 2289 (1963).
[CrossRef]

Gadomski, W.

R. Meucci, W. Gadomski, M. Ciofini, and F. T. Arecchi, Phys. Rev. E 49, R2528 (1994).
[CrossRef]

Gage, E. C.

A. T. Ryan, G. P. Agrawal, G. R. Gray, and E. C. Gage, IEEE J. Quantum Electron. 30, 668 (1994).
[CrossRef]

Georgiou, M.

P. Mandel, M. Georgiou, K. Otsuka, and D. Pieroux, Opt. Commun. 100, 341 (1993).
[CrossRef]

Gills, Z.

R. Roy, T. W. Murphy, T. D. Maier, Z. Gills, and E. R. Hunt, Phys. Rev. Lett. 68, 1259 (1992).
[CrossRef] [PubMed]

Gray, G. R.

A. T. Ryan, G. P. Agrawal, G. R. Gray, and E. C. Gage, IEEE J. Quantum Electron. 30, 668 (1994).
[CrossRef]

Grebogi, C.

E. Ott, C. Grebogi, and J. A. Yorke, Phys. Rev. Lett. 64, 1196 (1990).
[CrossRef] [PubMed]

Hunt, E. R.

R. Roy, T. W. Murphy, T. D. Maier, Z. Gills, and E. R. Hunt, Phys. Rev. Lett. 68, 1259 (1992).
[CrossRef] [PubMed]

Kannari, F.

A. Uchida, T. Sato, M. Takeoka, and F. Kannari, Jpn. J. Appl. Phys. Part 2 36, L912 (1997).
[CrossRef]

S. Okamoto, H. Takeda, and F. Kannari, Rev. Sci. Instrum. 66, 3116 (1995).
[CrossRef]

Kikuchi, N.

Y. Liu, N. Kikuchi, and J. Ohtsubo, Phys. Rev. E 51, R2697 (1995).
[CrossRef]

Lih, J.-S.

Liu, Y.

Y. Liu, N. Kikuchi, and J. Ohtsubo, Phys. Rev. E 51, R2697 (1995).
[CrossRef]

Maier, T. D.

R. Roy, T. W. Murphy, T. D. Maier, Z. Gills, and E. R. Hunt, Phys. Rev. Lett. 68, 1259 (1992).
[CrossRef] [PubMed]

Mandel, P.

P. Mandel, M. Georgiou, K. Otsuka, and D. Pieroux, Opt. Commun. 100, 341 (1993).
[CrossRef]

Meucci, R.

R. Meucci, W. Gadomski, M. Ciofini, and F. T. Arecchi, Phys. Rev. E 49, R2528 (1994).
[CrossRef]

Murphy, T. W.

R. Roy, T. W. Murphy, T. D. Maier, Z. Gills, and E. R. Hunt, Phys. Rev. Lett. 68, 1259 (1992).
[CrossRef] [PubMed]

Ohtsubo, J.

Y. Liu, N. Kikuchi, and J. Ohtsubo, Phys. Rev. E 51, R2697 (1995).
[CrossRef]

Okamoto, S.

S. Okamoto, H. Takeda, and F. Kannari, Rev. Sci. Instrum. 66, 3116 (1995).
[CrossRef]

Otsuka, K.

K. Otsuka, J.-L. Chern, and J.-S. Lih, Opt. Lett. 22, 292 (1997).
[CrossRef] [PubMed]

P. Mandel, M. Georgiou, K. Otsuka, and D. Pieroux, Opt. Commun. 100, 341 (1993).
[CrossRef]

K. Otsuka, Jpn. J. Appl. Phys. 31, L1546 (1992).
[CrossRef]

Ott, E.

E. Ott, C. Grebogi, and J. A. Yorke, Phys. Rev. Lett. 64, 1196 (1990).
[CrossRef] [PubMed]

Pieroux, D.

P. Mandel, M. Georgiou, K. Otsuka, and D. Pieroux, Opt. Commun. 100, 341 (1993).
[CrossRef]

Roy, R.

R. Roy, T. W. Murphy, T. D. Maier, Z. Gills, and E. R. Hunt, Phys. Rev. Lett. 68, 1259 (1992).
[CrossRef] [PubMed]

Ryan, A. T.

A. T. Ryan, G. P. Agrawal, G. R. Gray, and E. C. Gage, IEEE J. Quantum Electron. 30, 668 (1994).
[CrossRef]

Sato, T.

A. Uchida, T. Sato, M. Takeoka, and F. Kannari, Jpn. J. Appl. Phys. Part 2 36, L912 (1997).
[CrossRef]

Shimizu, T.

T. Tsukamoto, M. Tachikawa, T. Sugawara, and T. Shimizu, Phys. Rev. A 52, 1561 (1995).
[CrossRef] [PubMed]

Statz, H.

C. L. Tang, H. Statz, and G. deMars, J. Appl. Phys. 34, 2289 (1963).
[CrossRef]

Sugawara, T.

T. Tsukamoto, M. Tachikawa, T. Sugawara, and T. Shimizu, Phys. Rev. A 52, 1561 (1995).
[CrossRef] [PubMed]

Tachikawa, M.

T. Tsukamoto, M. Tachikawa, T. Sugawara, and T. Shimizu, Phys. Rev. A 52, 1561 (1995).
[CrossRef] [PubMed]

Takeda, H.

S. Okamoto, H. Takeda, and F. Kannari, Rev. Sci. Instrum. 66, 3116 (1995).
[CrossRef]

Takeoka, M.

A. Uchida, T. Sato, M. Takeoka, and F. Kannari, Jpn. J. Appl. Phys. Part 2 36, L912 (1997).
[CrossRef]

Tang, C. L.

C. L. Tang, H. Statz, and G. deMars, J. Appl. Phys. 34, 2289 (1963).
[CrossRef]

Tsukamoto, T.

T. Tsukamoto, M. Tachikawa, T. Sugawara, and T. Shimizu, Phys. Rev. A 52, 1561 (1995).
[CrossRef] [PubMed]

Uchida, A.

A. Uchida, T. Sato, M. Takeoka, and F. Kannari, Jpn. J. Appl. Phys. Part 2 36, L912 (1997).
[CrossRef]

Yorke, J. A.

E. Ott, C. Grebogi, and J. A. Yorke, Phys. Rev. Lett. 64, 1196 (1990).
[CrossRef] [PubMed]

IEEE J. Quantum Electron.

A. T. Ryan, G. P. Agrawal, G. R. Gray, and E. C. Gage, IEEE J. Quantum Electron. 30, 668 (1994).
[CrossRef]

J. Appl. Phys.

C. L. Tang, H. Statz, and G. deMars, J. Appl. Phys. 34, 2289 (1963).
[CrossRef]

Jpn. J. Appl. Phys.

K. Otsuka, Jpn. J. Appl. Phys. 31, L1546 (1992).
[CrossRef]

Jpn. J. Appl. Phys. Part 2

A. Uchida, T. Sato, M. Takeoka, and F. Kannari, Jpn. J. Appl. Phys. Part 2 36, L912 (1997).
[CrossRef]

Opt. Commun.

P. Mandel, M. Georgiou, K. Otsuka, and D. Pieroux, Opt. Commun. 100, 341 (1993).
[CrossRef]

Opt. Lett.

Phys. Rev. A

T. Tsukamoto, M. Tachikawa, T. Sugawara, and T. Shimizu, Phys. Rev. A 52, 1561 (1995).
[CrossRef] [PubMed]

Phys. Rev. E

Y. Liu, N. Kikuchi, and J. Ohtsubo, Phys. Rev. E 51, R2697 (1995).
[CrossRef]

R. Meucci, W. Gadomski, M. Ciofini, and F. T. Arecchi, Phys. Rev. E 49, R2528 (1994).
[CrossRef]

Phys. Rev. Lett.

R. Roy, T. W. Murphy, T. D. Maier, Z. Gills, and E. R. Hunt, Phys. Rev. Lett. 68, 1259 (1992).
[CrossRef] [PubMed]

E. Ott, C. Grebogi, and J. A. Yorke, Phys. Rev. Lett. 64, 1196 (1990).
[CrossRef] [PubMed]

Rev. Sci. Instrum.

S. Okamoto, H. Takeda, and F. Kannari, Rev. Sci. Instrum. 66, 3116 (1995).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Schematic of a diode-pumped Nd:YVO4 microchip laser with frequency-shifted optical feedback and pump modulation.

Fig. 2
Fig. 2

Bifurcation diagrams of (a) the loss modulation as a function of relative feedback light power and (b) the pump modulation as a function of modulation amplitude. Hysteresis is seen when the direction of the modulation amplitude is changed.

Fig. 3
Fig. 3

Experimental results: (a) Chaotic time history of the laser output without pump modulation. (b) Power spectrum of the laser output without pump modulation. (c) Period-18 time history of the laser output with pump modulation. The arrows represent the period. (d) Power spectrum of the laser output with pump modulation. The power spectra are averaged over 20  s.

Fig. 4
Fig. 4

Numerical results: (a)–(d) same as in Fig.  3.

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