Abstract

The mutual capture of two colored solitons is enhanced by a modulator, to a level which enables its practical exploitation, e.g., for a read- write mechanism in a soliton buffer. The enhanced capture was analyzed using closed form particle-like soliton perturbation, and verified by numerical simulations. Optimal modulator frequency and modulation depth are obtained. This mutual capture can be utilized for all-optical soliton logic and memory.

© 2004 Optical Society of America

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References

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  1. R.A. Barry, V.W.S. Chan, K.L. Hall, E.S. Kintzer, J.D. Moors, K.A. Rauschenbach, E.A. Swanson, L.E. Adams, C.R. Doerr, S.G. Finn, H.A. Haus, E.P. Ippen, W.S. Wong, and M. Haner, “All-optical network consortium - ultrafast TDM netwarks,” J. Sel. Areas In Com. 14, 999–1012 (1996).
    [Crossref]
  2. E. Feigenbaum and M. Orenstein, “Colored solitons interactions: particle-like and beyond,” Opt. Express 12, 2193–2206 (2004). http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-10-2193.
    [Crossref] [PubMed]
  3. M. Nakazawa, H. Kubota, E. Yamada, and K. Suzuki, “Infinite-distance soliton transmission with soliton controls in time and frequency domains,” Elec. Lett. 28, p. 1099–1100 (1992).
    [Crossref]
  4. J.D. Moors, W.S. Wong, and H.A. Haus, “Stability and timing maintenance in soliton transmission and storage rings,” Opt. Comm. 113, p. 153–175 (1994).
    [Crossref]
  5. H.A. Haus, “Lecture 11” in Optical Solitons: Theoretical Challenges and Industrial Perspectives, V.E. Zakarov and S. Wabnitz Ed. (Springer, NY,1999).
  6. M. Karlsson, D Anderson, A Höök, and M. Lisak, “A variational approach to optical soliton collisions,” Phys. Scripta 50, 265–270 (1994).
    [Crossref]
  7. N. C. Panoiu, I. V. Melǹikov, D. Mihalache, C. Etrich, and F. Lederer, “Soliton generation in optical fibers for dual-frequency input,” Phys. Rev. E 60, 4868–4876 (1999).
    [Crossref]
  8. V. V. Afanasjev and V. A. Vysloukh, “Interaction of initially overlapping solitons with different frequencies,” J. Opt. Soc. Am. B 11, 2385–2393 (1994).
    [Crossref]
  9. N.C. Panoiu, D. Mihalache, D. Mazilu, L.C. Crasovan, and I.V. Mel’nikov, “Soliton dynamics of symmetry-endowed two-soiton solutions of the nonlinear Schrodinger equation,” Chaos 10, 625–640 (2000).
    [Crossref]
  10. C. Etrich, N.C. Panoiu, D. Mihalache, and F. Lederer, “Limits for interchanel frequency separation in a soliton wavelength-division multiplexing system,” Phys. Rev. E 63, 016609 (2001).
    [Crossref]
  11. N.C. Panoiu, I.V. Mel’nikov, D. Mihalache, C. Etrich, and F. Lederer, “Soliton generation from a multi-frequency optical signal,” J. Opt. B: Quantum Semiclass. Opt. 4, R53–R68 (2002).
    [Crossref]
  12. G.P. Agrawal, Nonlinear Fiber Optics, 2nd ed.(Academic,NY, 1995).
  13. V.I. Karpman and V.V. Solov’ev, “A perturbational approach to the two-soliton systems,” Physica D 3, 487–502 (1981).
    [Crossref]
  14. H.A. Haus and W.S. Wong, “Solitons in optical communications,” Rev. of Mod. Phys. 68, 423–444 (1996).
    [Crossref]
  15. S.M.J. Kelly, “Characteristic sideband instability of periodically amplified average soliton,” Elec. Lett. 28, 806–807 (1992).
    [Crossref]
  16. H.A. Haus, W.S. Wong, and F.I. Kharti, “Continuum generation by perturbation of soliton,” J. Opt. Soc. Am. B. 14, 304–313(1997)
    [Crossref]

2004 (1)

2002 (1)

N.C. Panoiu, I.V. Mel’nikov, D. Mihalache, C. Etrich, and F. Lederer, “Soliton generation from a multi-frequency optical signal,” J. Opt. B: Quantum Semiclass. Opt. 4, R53–R68 (2002).
[Crossref]

2001 (1)

C. Etrich, N.C. Panoiu, D. Mihalache, and F. Lederer, “Limits for interchanel frequency separation in a soliton wavelength-division multiplexing system,” Phys. Rev. E 63, 016609 (2001).
[Crossref]

2000 (1)

N.C. Panoiu, D. Mihalache, D. Mazilu, L.C. Crasovan, and I.V. Mel’nikov, “Soliton dynamics of symmetry-endowed two-soiton solutions of the nonlinear Schrodinger equation,” Chaos 10, 625–640 (2000).
[Crossref]

1999 (1)

N. C. Panoiu, I. V. Melǹikov, D. Mihalache, C. Etrich, and F. Lederer, “Soliton generation in optical fibers for dual-frequency input,” Phys. Rev. E 60, 4868–4876 (1999).
[Crossref]

1997 (1)

H.A. Haus, W.S. Wong, and F.I. Kharti, “Continuum generation by perturbation of soliton,” J. Opt. Soc. Am. B. 14, 304–313(1997)
[Crossref]

1996 (2)

H.A. Haus and W.S. Wong, “Solitons in optical communications,” Rev. of Mod. Phys. 68, 423–444 (1996).
[Crossref]

R.A. Barry, V.W.S. Chan, K.L. Hall, E.S. Kintzer, J.D. Moors, K.A. Rauschenbach, E.A. Swanson, L.E. Adams, C.R. Doerr, S.G. Finn, H.A. Haus, E.P. Ippen, W.S. Wong, and M. Haner, “All-optical network consortium - ultrafast TDM netwarks,” J. Sel. Areas In Com. 14, 999–1012 (1996).
[Crossref]

1994 (3)

V. V. Afanasjev and V. A. Vysloukh, “Interaction of initially overlapping solitons with different frequencies,” J. Opt. Soc. Am. B 11, 2385–2393 (1994).
[Crossref]

J.D. Moors, W.S. Wong, and H.A. Haus, “Stability and timing maintenance in soliton transmission and storage rings,” Opt. Comm. 113, p. 153–175 (1994).
[Crossref]

M. Karlsson, D Anderson, A Höök, and M. Lisak, “A variational approach to optical soliton collisions,” Phys. Scripta 50, 265–270 (1994).
[Crossref]

1992 (2)

M. Nakazawa, H. Kubota, E. Yamada, and K. Suzuki, “Infinite-distance soliton transmission with soliton controls in time and frequency domains,” Elec. Lett. 28, p. 1099–1100 (1992).
[Crossref]

S.M.J. Kelly, “Characteristic sideband instability of periodically amplified average soliton,” Elec. Lett. 28, 806–807 (1992).
[Crossref]

1981 (1)

V.I. Karpman and V.V. Solov’ev, “A perturbational approach to the two-soliton systems,” Physica D 3, 487–502 (1981).
[Crossref]

Adams, L.E.

R.A. Barry, V.W.S. Chan, K.L. Hall, E.S. Kintzer, J.D. Moors, K.A. Rauschenbach, E.A. Swanson, L.E. Adams, C.R. Doerr, S.G. Finn, H.A. Haus, E.P. Ippen, W.S. Wong, and M. Haner, “All-optical network consortium - ultrafast TDM netwarks,” J. Sel. Areas In Com. 14, 999–1012 (1996).
[Crossref]

Afanasjev, V. V.

Agrawal, G.P.

G.P. Agrawal, Nonlinear Fiber Optics, 2nd ed.(Academic,NY, 1995).

Anderson, D

M. Karlsson, D Anderson, A Höök, and M. Lisak, “A variational approach to optical soliton collisions,” Phys. Scripta 50, 265–270 (1994).
[Crossref]

Barry, R.A.

R.A. Barry, V.W.S. Chan, K.L. Hall, E.S. Kintzer, J.D. Moors, K.A. Rauschenbach, E.A. Swanson, L.E. Adams, C.R. Doerr, S.G. Finn, H.A. Haus, E.P. Ippen, W.S. Wong, and M. Haner, “All-optical network consortium - ultrafast TDM netwarks,” J. Sel. Areas In Com. 14, 999–1012 (1996).
[Crossref]

Chan, V.W.S.

R.A. Barry, V.W.S. Chan, K.L. Hall, E.S. Kintzer, J.D. Moors, K.A. Rauschenbach, E.A. Swanson, L.E. Adams, C.R. Doerr, S.G. Finn, H.A. Haus, E.P. Ippen, W.S. Wong, and M. Haner, “All-optical network consortium - ultrafast TDM netwarks,” J. Sel. Areas In Com. 14, 999–1012 (1996).
[Crossref]

Crasovan, L.C.

N.C. Panoiu, D. Mihalache, D. Mazilu, L.C. Crasovan, and I.V. Mel’nikov, “Soliton dynamics of symmetry-endowed two-soiton solutions of the nonlinear Schrodinger equation,” Chaos 10, 625–640 (2000).
[Crossref]

Doerr, C.R.

R.A. Barry, V.W.S. Chan, K.L. Hall, E.S. Kintzer, J.D. Moors, K.A. Rauschenbach, E.A. Swanson, L.E. Adams, C.R. Doerr, S.G. Finn, H.A. Haus, E.P. Ippen, W.S. Wong, and M. Haner, “All-optical network consortium - ultrafast TDM netwarks,” J. Sel. Areas In Com. 14, 999–1012 (1996).
[Crossref]

Etrich, C.

N.C. Panoiu, I.V. Mel’nikov, D. Mihalache, C. Etrich, and F. Lederer, “Soliton generation from a multi-frequency optical signal,” J. Opt. B: Quantum Semiclass. Opt. 4, R53–R68 (2002).
[Crossref]

C. Etrich, N.C. Panoiu, D. Mihalache, and F. Lederer, “Limits for interchanel frequency separation in a soliton wavelength-division multiplexing system,” Phys. Rev. E 63, 016609 (2001).
[Crossref]

N. C. Panoiu, I. V. Melǹikov, D. Mihalache, C. Etrich, and F. Lederer, “Soliton generation in optical fibers for dual-frequency input,” Phys. Rev. E 60, 4868–4876 (1999).
[Crossref]

Feigenbaum, E.

Finn, S.G.

R.A. Barry, V.W.S. Chan, K.L. Hall, E.S. Kintzer, J.D. Moors, K.A. Rauschenbach, E.A. Swanson, L.E. Adams, C.R. Doerr, S.G. Finn, H.A. Haus, E.P. Ippen, W.S. Wong, and M. Haner, “All-optical network consortium - ultrafast TDM netwarks,” J. Sel. Areas In Com. 14, 999–1012 (1996).
[Crossref]

Hall, K.L.

R.A. Barry, V.W.S. Chan, K.L. Hall, E.S. Kintzer, J.D. Moors, K.A. Rauschenbach, E.A. Swanson, L.E. Adams, C.R. Doerr, S.G. Finn, H.A. Haus, E.P. Ippen, W.S. Wong, and M. Haner, “All-optical network consortium - ultrafast TDM netwarks,” J. Sel. Areas In Com. 14, 999–1012 (1996).
[Crossref]

Haner, M.

R.A. Barry, V.W.S. Chan, K.L. Hall, E.S. Kintzer, J.D. Moors, K.A. Rauschenbach, E.A. Swanson, L.E. Adams, C.R. Doerr, S.G. Finn, H.A. Haus, E.P. Ippen, W.S. Wong, and M. Haner, “All-optical network consortium - ultrafast TDM netwarks,” J. Sel. Areas In Com. 14, 999–1012 (1996).
[Crossref]

Haus, H.A.

H.A. Haus, W.S. Wong, and F.I. Kharti, “Continuum generation by perturbation of soliton,” J. Opt. Soc. Am. B. 14, 304–313(1997)
[Crossref]

H.A. Haus and W.S. Wong, “Solitons in optical communications,” Rev. of Mod. Phys. 68, 423–444 (1996).
[Crossref]

R.A. Barry, V.W.S. Chan, K.L. Hall, E.S. Kintzer, J.D. Moors, K.A. Rauschenbach, E.A. Swanson, L.E. Adams, C.R. Doerr, S.G. Finn, H.A. Haus, E.P. Ippen, W.S. Wong, and M. Haner, “All-optical network consortium - ultrafast TDM netwarks,” J. Sel. Areas In Com. 14, 999–1012 (1996).
[Crossref]

J.D. Moors, W.S. Wong, and H.A. Haus, “Stability and timing maintenance in soliton transmission and storage rings,” Opt. Comm. 113, p. 153–175 (1994).
[Crossref]

H.A. Haus, “Lecture 11” in Optical Solitons: Theoretical Challenges and Industrial Perspectives, V.E. Zakarov and S. Wabnitz Ed. (Springer, NY,1999).

Höök, A

M. Karlsson, D Anderson, A Höök, and M. Lisak, “A variational approach to optical soliton collisions,” Phys. Scripta 50, 265–270 (1994).
[Crossref]

Ippen, E.P.

R.A. Barry, V.W.S. Chan, K.L. Hall, E.S. Kintzer, J.D. Moors, K.A. Rauschenbach, E.A. Swanson, L.E. Adams, C.R. Doerr, S.G. Finn, H.A. Haus, E.P. Ippen, W.S. Wong, and M. Haner, “All-optical network consortium - ultrafast TDM netwarks,” J. Sel. Areas In Com. 14, 999–1012 (1996).
[Crossref]

Karlsson, M.

M. Karlsson, D Anderson, A Höök, and M. Lisak, “A variational approach to optical soliton collisions,” Phys. Scripta 50, 265–270 (1994).
[Crossref]

Karpman, V.I.

V.I. Karpman and V.V. Solov’ev, “A perturbational approach to the two-soliton systems,” Physica D 3, 487–502 (1981).
[Crossref]

Kelly, S.M.J.

S.M.J. Kelly, “Characteristic sideband instability of periodically amplified average soliton,” Elec. Lett. 28, 806–807 (1992).
[Crossref]

Kharti, F.I.

H.A. Haus, W.S. Wong, and F.I. Kharti, “Continuum generation by perturbation of soliton,” J. Opt. Soc. Am. B. 14, 304–313(1997)
[Crossref]

Kintzer, E.S.

R.A. Barry, V.W.S. Chan, K.L. Hall, E.S. Kintzer, J.D. Moors, K.A. Rauschenbach, E.A. Swanson, L.E. Adams, C.R. Doerr, S.G. Finn, H.A. Haus, E.P. Ippen, W.S. Wong, and M. Haner, “All-optical network consortium - ultrafast TDM netwarks,” J. Sel. Areas In Com. 14, 999–1012 (1996).
[Crossref]

Kubota, H.

M. Nakazawa, H. Kubota, E. Yamada, and K. Suzuki, “Infinite-distance soliton transmission with soliton controls in time and frequency domains,” Elec. Lett. 28, p. 1099–1100 (1992).
[Crossref]

Lederer, F.

N.C. Panoiu, I.V. Mel’nikov, D. Mihalache, C. Etrich, and F. Lederer, “Soliton generation from a multi-frequency optical signal,” J. Opt. B: Quantum Semiclass. Opt. 4, R53–R68 (2002).
[Crossref]

C. Etrich, N.C. Panoiu, D. Mihalache, and F. Lederer, “Limits for interchanel frequency separation in a soliton wavelength-division multiplexing system,” Phys. Rev. E 63, 016609 (2001).
[Crossref]

N. C. Panoiu, I. V. Melǹikov, D. Mihalache, C. Etrich, and F. Lederer, “Soliton generation in optical fibers for dual-frequency input,” Phys. Rev. E 60, 4868–4876 (1999).
[Crossref]

Lisak, M.

M. Karlsson, D Anderson, A Höök, and M. Lisak, “A variational approach to optical soliton collisions,” Phys. Scripta 50, 265–270 (1994).
[Crossref]

Mazilu, D.

N.C. Panoiu, D. Mihalache, D. Mazilu, L.C. Crasovan, and I.V. Mel’nikov, “Soliton dynamics of symmetry-endowed two-soiton solutions of the nonlinear Schrodinger equation,” Chaos 10, 625–640 (2000).
[Crossref]

Mel?ikov, I. V.

N. C. Panoiu, I. V. Melǹikov, D. Mihalache, C. Etrich, and F. Lederer, “Soliton generation in optical fibers for dual-frequency input,” Phys. Rev. E 60, 4868–4876 (1999).
[Crossref]

Mel’nikov, I.V.

N.C. Panoiu, I.V. Mel’nikov, D. Mihalache, C. Etrich, and F. Lederer, “Soliton generation from a multi-frequency optical signal,” J. Opt. B: Quantum Semiclass. Opt. 4, R53–R68 (2002).
[Crossref]

N.C. Panoiu, D. Mihalache, D. Mazilu, L.C. Crasovan, and I.V. Mel’nikov, “Soliton dynamics of symmetry-endowed two-soiton solutions of the nonlinear Schrodinger equation,” Chaos 10, 625–640 (2000).
[Crossref]

Mihalache, D.

N.C. Panoiu, I.V. Mel’nikov, D. Mihalache, C. Etrich, and F. Lederer, “Soliton generation from a multi-frequency optical signal,” J. Opt. B: Quantum Semiclass. Opt. 4, R53–R68 (2002).
[Crossref]

C. Etrich, N.C. Panoiu, D. Mihalache, and F. Lederer, “Limits for interchanel frequency separation in a soliton wavelength-division multiplexing system,” Phys. Rev. E 63, 016609 (2001).
[Crossref]

N.C. Panoiu, D. Mihalache, D. Mazilu, L.C. Crasovan, and I.V. Mel’nikov, “Soliton dynamics of symmetry-endowed two-soiton solutions of the nonlinear Schrodinger equation,” Chaos 10, 625–640 (2000).
[Crossref]

N. C. Panoiu, I. V. Melǹikov, D. Mihalache, C. Etrich, and F. Lederer, “Soliton generation in optical fibers for dual-frequency input,” Phys. Rev. E 60, 4868–4876 (1999).
[Crossref]

Moors, J.D.

R.A. Barry, V.W.S. Chan, K.L. Hall, E.S. Kintzer, J.D. Moors, K.A. Rauschenbach, E.A. Swanson, L.E. Adams, C.R. Doerr, S.G. Finn, H.A. Haus, E.P. Ippen, W.S. Wong, and M. Haner, “All-optical network consortium - ultrafast TDM netwarks,” J. Sel. Areas In Com. 14, 999–1012 (1996).
[Crossref]

J.D. Moors, W.S. Wong, and H.A. Haus, “Stability and timing maintenance in soliton transmission and storage rings,” Opt. Comm. 113, p. 153–175 (1994).
[Crossref]

Nakazawa, M.

M. Nakazawa, H. Kubota, E. Yamada, and K. Suzuki, “Infinite-distance soliton transmission with soliton controls in time and frequency domains,” Elec. Lett. 28, p. 1099–1100 (1992).
[Crossref]

Orenstein, M.

Panoiu, N. C.

N. C. Panoiu, I. V. Melǹikov, D. Mihalache, C. Etrich, and F. Lederer, “Soliton generation in optical fibers for dual-frequency input,” Phys. Rev. E 60, 4868–4876 (1999).
[Crossref]

Panoiu, N.C.

N.C. Panoiu, I.V. Mel’nikov, D. Mihalache, C. Etrich, and F. Lederer, “Soliton generation from a multi-frequency optical signal,” J. Opt. B: Quantum Semiclass. Opt. 4, R53–R68 (2002).
[Crossref]

C. Etrich, N.C. Panoiu, D. Mihalache, and F. Lederer, “Limits for interchanel frequency separation in a soliton wavelength-division multiplexing system,” Phys. Rev. E 63, 016609 (2001).
[Crossref]

N.C. Panoiu, D. Mihalache, D. Mazilu, L.C. Crasovan, and I.V. Mel’nikov, “Soliton dynamics of symmetry-endowed two-soiton solutions of the nonlinear Schrodinger equation,” Chaos 10, 625–640 (2000).
[Crossref]

Rauschenbach, K.A.

R.A. Barry, V.W.S. Chan, K.L. Hall, E.S. Kintzer, J.D. Moors, K.A. Rauschenbach, E.A. Swanson, L.E. Adams, C.R. Doerr, S.G. Finn, H.A. Haus, E.P. Ippen, W.S. Wong, and M. Haner, “All-optical network consortium - ultrafast TDM netwarks,” J. Sel. Areas In Com. 14, 999–1012 (1996).
[Crossref]

Solov’ev, V.V.

V.I. Karpman and V.V. Solov’ev, “A perturbational approach to the two-soliton systems,” Physica D 3, 487–502 (1981).
[Crossref]

Suzuki, K.

M. Nakazawa, H. Kubota, E. Yamada, and K. Suzuki, “Infinite-distance soliton transmission with soliton controls in time and frequency domains,” Elec. Lett. 28, p. 1099–1100 (1992).
[Crossref]

Swanson, E.A.

R.A. Barry, V.W.S. Chan, K.L. Hall, E.S. Kintzer, J.D. Moors, K.A. Rauschenbach, E.A. Swanson, L.E. Adams, C.R. Doerr, S.G. Finn, H.A. Haus, E.P. Ippen, W.S. Wong, and M. Haner, “All-optical network consortium - ultrafast TDM netwarks,” J. Sel. Areas In Com. 14, 999–1012 (1996).
[Crossref]

Vysloukh, V. A.

Wong, W.S.

H.A. Haus, W.S. Wong, and F.I. Kharti, “Continuum generation by perturbation of soliton,” J. Opt. Soc. Am. B. 14, 304–313(1997)
[Crossref]

H.A. Haus and W.S. Wong, “Solitons in optical communications,” Rev. of Mod. Phys. 68, 423–444 (1996).
[Crossref]

R.A. Barry, V.W.S. Chan, K.L. Hall, E.S. Kintzer, J.D. Moors, K.A. Rauschenbach, E.A. Swanson, L.E. Adams, C.R. Doerr, S.G. Finn, H.A. Haus, E.P. Ippen, W.S. Wong, and M. Haner, “All-optical network consortium - ultrafast TDM netwarks,” J. Sel. Areas In Com. 14, 999–1012 (1996).
[Crossref]

J.D. Moors, W.S. Wong, and H.A. Haus, “Stability and timing maintenance in soliton transmission and storage rings,” Opt. Comm. 113, p. 153–175 (1994).
[Crossref]

Yamada, E.

M. Nakazawa, H. Kubota, E. Yamada, and K. Suzuki, “Infinite-distance soliton transmission with soliton controls in time and frequency domains,” Elec. Lett. 28, p. 1099–1100 (1992).
[Crossref]

Chaos (1)

N.C. Panoiu, D. Mihalache, D. Mazilu, L.C. Crasovan, and I.V. Mel’nikov, “Soliton dynamics of symmetry-endowed two-soiton solutions of the nonlinear Schrodinger equation,” Chaos 10, 625–640 (2000).
[Crossref]

Elec. Lett. (2)

M. Nakazawa, H. Kubota, E. Yamada, and K. Suzuki, “Infinite-distance soliton transmission with soliton controls in time and frequency domains,” Elec. Lett. 28, p. 1099–1100 (1992).
[Crossref]

S.M.J. Kelly, “Characteristic sideband instability of periodically amplified average soliton,” Elec. Lett. 28, 806–807 (1992).
[Crossref]

J. Opt. B: Quantum Semiclass. Opt. (1)

N.C. Panoiu, I.V. Mel’nikov, D. Mihalache, C. Etrich, and F. Lederer, “Soliton generation from a multi-frequency optical signal,” J. Opt. B: Quantum Semiclass. Opt. 4, R53–R68 (2002).
[Crossref]

J. Opt. Soc. Am. B (1)

J. Opt. Soc. Am. B. (1)

H.A. Haus, W.S. Wong, and F.I. Kharti, “Continuum generation by perturbation of soliton,” J. Opt. Soc. Am. B. 14, 304–313(1997)
[Crossref]

J. Sel. Areas In Com. (1)

R.A. Barry, V.W.S. Chan, K.L. Hall, E.S. Kintzer, J.D. Moors, K.A. Rauschenbach, E.A. Swanson, L.E. Adams, C.R. Doerr, S.G. Finn, H.A. Haus, E.P. Ippen, W.S. Wong, and M. Haner, “All-optical network consortium - ultrafast TDM netwarks,” J. Sel. Areas In Com. 14, 999–1012 (1996).
[Crossref]

Opt. Comm. (1)

J.D. Moors, W.S. Wong, and H.A. Haus, “Stability and timing maintenance in soliton transmission and storage rings,” Opt. Comm. 113, p. 153–175 (1994).
[Crossref]

Opt. Express (1)

Phys. Rev. E (2)

C. Etrich, N.C. Panoiu, D. Mihalache, and F. Lederer, “Limits for interchanel frequency separation in a soliton wavelength-division multiplexing system,” Phys. Rev. E 63, 016609 (2001).
[Crossref]

N. C. Panoiu, I. V. Melǹikov, D. Mihalache, C. Etrich, and F. Lederer, “Soliton generation in optical fibers for dual-frequency input,” Phys. Rev. E 60, 4868–4876 (1999).
[Crossref]

Phys. Scripta (1)

M. Karlsson, D Anderson, A Höök, and M. Lisak, “A variational approach to optical soliton collisions,” Phys. Scripta 50, 265–270 (1994).
[Crossref]

Physica D (1)

V.I. Karpman and V.V. Solov’ev, “A perturbational approach to the two-soliton systems,” Physica D 3, 487–502 (1981).
[Crossref]

Rev. of Mod. Phys. (1)

H.A. Haus and W.S. Wong, “Solitons in optical communications,” Rev. of Mod. Phys. 68, 423–444 (1996).
[Crossref]

Other (2)

G.P. Agrawal, Nonlinear Fiber Optics, 2nd ed.(Academic,NY, 1995).

H.A. Haus, “Lecture 11” in Optical Solitons: Theoretical Challenges and Industrial Perspectives, V.E. Zakarov and S. Wabnitz Ed. (Springer, NY,1999).

Supplementary Material (2)

» Media 1: AVI (442 KB)     
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Figures (6)

Fig. 1.
Fig. 1.

Schematics of Read-Write of storage ring using colored solitons capture. The first and last data bits (red) are captured to control bits (blue) and read out (green).

Fig. 2.
Fig. 2.

Modulation index (M/zm) required for capture vs. modulator frequency (ωm). Each curve is normalized by its minimum modulation index. β”=-2, δ=1.3 (a) different p0 , W=1. (b) different W, p0=0.16×2π.

Fig. 3.
Fig. 3.

Modulator assisted selective DATA bit capture using CONTROL bit. (a) (0.37Mb) No modulator, Data soliton=“1”, Control soliton=“1”. Modulator applied, Data soliton=“1”: (b) (0.36Mb) Control soliton=“1” (c) Control soliton=“0”. p1,2=±0.2×2π, τ1,2=0, θ12=0, ωm=εW, M/zm=0.13/z0, gain=0.05/z0, β”=-2, δ=1.3,W=1.

Fig. 4.
Fig. 4.

Modulator assisted capture threshold vs. modulation depth, w/wo second soliton. τ1,2=0, θ12=0, W=1. ωm=εW. β”=-2, δ=1.3.

Fig. 5.
Fig. 5.

Decay coefficient of captured soliton oscillations vs. the modulator frequency. p1,2=±0.1×2π, gain=τ1,212=0, M/zm=0.1/z0, β”=-2, δ=1.3, W=1.

Fig. 6.
Fig. 6.

Oscillation decay coefficient vs. M-phase. p1,2=±0.05×2π, W=1, M=0.5, zm=1.2z0. β”=-2, δ=1.3, distributed gain=0.017/z0.

Equations (9)

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z ( β p ) = 2 δ 2 W 4 + d ξ { tanh ( ε W ξ ) sech 2 ( ε W ξ ) sech 2 ( ε W ( ξ + 2 τ ) ) }
z τ = ( β p )
z τ = β p + S τ
z 2 τ z ( β p ) V z τ = z S τ ; V = z S τ
T = 1 + 1 2 M ( cos ( ω m ( t t m ) ) 1 )
s = j z u = j ( 1 T z m ) u = j ( M 2 z m ) ( 1 cos ( ω m ( t t m ) ) ) u
2 p 10 ( δ β W z m )
S τ M = ( M z m ) 1 2 ε W + dt { ( t τ ) sech 2 ( ε W ( t τ ) ) cos ( ω m ( t t m ) ) }
V = M z m cos ( ω m Δ τ m ) f V ( ω m ) ; f V + d ξ { ( 1 2 ξ tanh ( ξ ) ) sech 2 ( ξ ) cos ( ω m ε W ξ ) }

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