Abstract

We present a theory of acoustically induced pulse interaction in a ring fiber laser cavity. In most cases the acoustic interaction leads to pulse bunching, but in some cases it leads to regular pulse spacing. Our results compare well with the experimental data.

© 1995 Optical Society of America

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References

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  1. V. J. Matsas, T. P. Newson, P. J. Richardson, D. N. Payne, Electron. Lett. 28, 1391 (1992);D. V. Noske, N. Pandit, J. R. Taylor, Electron. Lett. 28, 2185 (1992);K. Tamura, H. A. Haus, E. P. Ippen, Electron. Lett. 28, 2226 (1992);M. Nakazawa, E. Yoshida, T. Sugawa, Y. Kimura, Electron. Lett. 29, 1327 (1993).
    [Crossref]
  2. C. J. Chen, P. K. A. Wai, C. R. Menyuk, Opt. Lett. 17, 417 (1992);S. M. J. Kelley, Electron. Lett. 28, 806 (1992).
    [Crossref] [PubMed]
  3. R. P. Davey, N. Langford, A. I. Ferguson, Electron. Lett. 27, 1257 (1991).
    [Crossref]
  4. A. B. Grudinin, D. J. Richardson, D. N. Payne, Electron. Lett. 29, 1860 (1993).
    [Crossref]
  5. M. J. Guy, P. U. Noske, A. Boskovic, J. R. Taylor, Opt. Lett. 19, 828 (1994).
    [Crossref] [PubMed]
  6. E. M. Dianov, A. V. Luchnikov, A. N. Pilipetskii, A. N. Starodumov, Opt. Lett. 15, 314 (1990)E. M. Dianov, A. V. Luchnikov, A. N. Pilipetskii, A. M. Prokhorov, Appl. Phys. B 54, 175 (1992);E. A. Golovchenko, A. N. Pilipetskii, J. Lightwave Technol. 15, 314 (1994).
    [Crossref] [PubMed]
  7. K. Smith, L. F. Mollenauer, Opt. Lett. 14, 1284 (1989);L. F. Mollenauer, P. V. Mamyshev, M. J. Neubelt, Opt. Lett. 19, 704 (1994).
    [Crossref] [PubMed]
  8. R. H. Shelby, M. D. Levenson, P. W. Bayer, Phys. Rev. B 31, 5244 (1985).
    [Crossref]

1994 (1)

1993 (1)

A. B. Grudinin, D. J. Richardson, D. N. Payne, Electron. Lett. 29, 1860 (1993).
[Crossref]

1992 (2)

V. J. Matsas, T. P. Newson, P. J. Richardson, D. N. Payne, Electron. Lett. 28, 1391 (1992);D. V. Noske, N. Pandit, J. R. Taylor, Electron. Lett. 28, 2185 (1992);K. Tamura, H. A. Haus, E. P. Ippen, Electron. Lett. 28, 2226 (1992);M. Nakazawa, E. Yoshida, T. Sugawa, Y. Kimura, Electron. Lett. 29, 1327 (1993).
[Crossref]

C. J. Chen, P. K. A. Wai, C. R. Menyuk, Opt. Lett. 17, 417 (1992);S. M. J. Kelley, Electron. Lett. 28, 806 (1992).
[Crossref] [PubMed]

1991 (1)

R. P. Davey, N. Langford, A. I. Ferguson, Electron. Lett. 27, 1257 (1991).
[Crossref]

1990 (1)

1989 (1)

1985 (1)

R. H. Shelby, M. D. Levenson, P. W. Bayer, Phys. Rev. B 31, 5244 (1985).
[Crossref]

Bayer, P. W.

R. H. Shelby, M. D. Levenson, P. W. Bayer, Phys. Rev. B 31, 5244 (1985).
[Crossref]

Boskovic, A.

Chen, C. J.

Davey, R. P.

R. P. Davey, N. Langford, A. I. Ferguson, Electron. Lett. 27, 1257 (1991).
[Crossref]

Dianov, E. M.

Ferguson, A. I.

R. P. Davey, N. Langford, A. I. Ferguson, Electron. Lett. 27, 1257 (1991).
[Crossref]

Grudinin, A. B.

A. B. Grudinin, D. J. Richardson, D. N. Payne, Electron. Lett. 29, 1860 (1993).
[Crossref]

Guy, M. J.

Langford, N.

R. P. Davey, N. Langford, A. I. Ferguson, Electron. Lett. 27, 1257 (1991).
[Crossref]

Levenson, M. D.

R. H. Shelby, M. D. Levenson, P. W. Bayer, Phys. Rev. B 31, 5244 (1985).
[Crossref]

Luchnikov, A. V.

Matsas, V. J.

V. J. Matsas, T. P. Newson, P. J. Richardson, D. N. Payne, Electron. Lett. 28, 1391 (1992);D. V. Noske, N. Pandit, J. R. Taylor, Electron. Lett. 28, 2185 (1992);K. Tamura, H. A. Haus, E. P. Ippen, Electron. Lett. 28, 2226 (1992);M. Nakazawa, E. Yoshida, T. Sugawa, Y. Kimura, Electron. Lett. 29, 1327 (1993).
[Crossref]

Menyuk, C. R.

Mollenauer, L. F.

Newson, T. P.

V. J. Matsas, T. P. Newson, P. J. Richardson, D. N. Payne, Electron. Lett. 28, 1391 (1992);D. V. Noske, N. Pandit, J. R. Taylor, Electron. Lett. 28, 2185 (1992);K. Tamura, H. A. Haus, E. P. Ippen, Electron. Lett. 28, 2226 (1992);M. Nakazawa, E. Yoshida, T. Sugawa, Y. Kimura, Electron. Lett. 29, 1327 (1993).
[Crossref]

Noske, P. U.

Payne, D. N.

A. B. Grudinin, D. J. Richardson, D. N. Payne, Electron. Lett. 29, 1860 (1993).
[Crossref]

V. J. Matsas, T. P. Newson, P. J. Richardson, D. N. Payne, Electron. Lett. 28, 1391 (1992);D. V. Noske, N. Pandit, J. R. Taylor, Electron. Lett. 28, 2185 (1992);K. Tamura, H. A. Haus, E. P. Ippen, Electron. Lett. 28, 2226 (1992);M. Nakazawa, E. Yoshida, T. Sugawa, Y. Kimura, Electron. Lett. 29, 1327 (1993).
[Crossref]

Pilipetskii, A. N.

Richardson, D. J.

A. B. Grudinin, D. J. Richardson, D. N. Payne, Electron. Lett. 29, 1860 (1993).
[Crossref]

Richardson, P. J.

V. J. Matsas, T. P. Newson, P. J. Richardson, D. N. Payne, Electron. Lett. 28, 1391 (1992);D. V. Noske, N. Pandit, J. R. Taylor, Electron. Lett. 28, 2185 (1992);K. Tamura, H. A. Haus, E. P. Ippen, Electron. Lett. 28, 2226 (1992);M. Nakazawa, E. Yoshida, T. Sugawa, Y. Kimura, Electron. Lett. 29, 1327 (1993).
[Crossref]

Shelby, R. H.

R. H. Shelby, M. D. Levenson, P. W. Bayer, Phys. Rev. B 31, 5244 (1985).
[Crossref]

Smith, K.

Starodumov, A. N.

Taylor, J. R.

Wai, P. K. A.

Electron. Lett. (3)

R. P. Davey, N. Langford, A. I. Ferguson, Electron. Lett. 27, 1257 (1991).
[Crossref]

A. B. Grudinin, D. J. Richardson, D. N. Payne, Electron. Lett. 29, 1860 (1993).
[Crossref]

V. J. Matsas, T. P. Newson, P. J. Richardson, D. N. Payne, Electron. Lett. 28, 1391 (1992);D. V. Noske, N. Pandit, J. R. Taylor, Electron. Lett. 28, 2185 (1992);K. Tamura, H. A. Haus, E. P. Ippen, Electron. Lett. 28, 2226 (1992);M. Nakazawa, E. Yoshida, T. Sugawa, Y. Kimura, Electron. Lett. 29, 1327 (1993).
[Crossref]

Opt. Lett. (4)

Phys. Rev. B (1)

R. H. Shelby, M. D. Levenson, P. W. Bayer, Phys. Rev. B 31, 5244 (1985).
[Crossref]

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Figures (2)

Fig. 1
Fig. 1

(a) N = 20 and (b) N = 12 mode-locked pulses trapped into bunches by the acoustic interaction. Note that picosecond pulses on the nanosecond time scale look like delta functions.

Fig. 2
Fig. 2

Frequency dependence as a function of N of stable harmonically mode-locked operation. Dots are shown only at N values at which the operation is stable, and regular pulse spacing is observed.

Equations (6)

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d w d z = ω c d ( δ n ) d t | t = T .
d t i d z = ( δ Ω i ) λ 2 2 π c D ,
d ( δ Ω i ) d z = ω c l d ( δ n ) d t | t i t l β δ Ω i .
d ( δ Ω i ) d z = ω c l d ( δ n ) d t | l T + τ i τ l β δ Ω i ,
d ( δ Ω i ) d z ω c [ l = 1 ( δ n ) t | lT + τ i l = 1 2 ( δ n ) t 2 | lT τ i l = 1 2 ( δ n ) t 2 | lNT l = 0 k = 1 N 1 τ k 2 ( δ n ) t 2 | kT + lNT ] β δ Ω i .
τ k ( z ) = m = 1 N 1 τ ( m ) ( z ) exp [ 2 π j ( k i ) m / N ] ,

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