Abstract

We obtain an exact linearly polarized vector solitary solution for the amplification of an optical pulse with a time width short compared with both population and polarization decay time. This dissipative soliton results from the balance between the gain from inverted resonant two-level atoms and the linear loss of the host material. We suppose that the excited state of the active centers is degenerate on the projection of the angular momentum, with a symmetric state of inversion. Quite remarkably, we find that after the passing of the pulse, the atomic medium does not return to the ground state, and a finite Zeeman coherence is generated. Numerical simulations demonstrate the stability of vector π solitons with an arbitrary state of elliptical polarization in the presence of both linear birefringence and group-velocity dispersion of the host material.

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  1. S. L. Mc Call and E. L. Hahn, "Self-induced transparency by pulsed coherent light," Phys. Rev. Lett. 18, 908-1181 (1967).
    [CrossRef]
  2. S. L. Mc Call and E. L. Hahn, "Self-induced transparency," Phys. Rev. 183, 457-485 (1969).
    [CrossRef]
  3. F. T. Arecchi and R. Bonifacio, "Theory of optical maser amplifiers," IEEE J. Quantum Electron. QE-1, 169-178 (1965).
    [CrossRef]
  4. A. Armstrong and E. Courtens, "Exact solution of a π-pulse problem," IEEE J. Quantum Electron. QE-4, 411-419 (1968).
  5. C. K. N. Patel and R. E. Slusher, "Self-induced transparency in gases," Phys. Rev. Lett. 19, 1019-1022 (1967).
    [CrossRef]
  6. H. M. Gibbs and R. E. Slusher, "Peak amplification and breakup of a coherent optical pulse in a simple atomic absorber," Phys. Rev. Lett. 24, 638-641 (1970).
    [CrossRef]
  7. M. Nakazawa, Y. Kimura, K. Kurokawa, and K. Suzuki, "Self-induced transparency solitons in an erbium-doped fiber waveguide," Phys. Rev. A 45, R23-R26 (1992).
    [CrossRef]
  8. M. Nakazawa, K. Suzuki, Y. Kimura, and H. Kubota, "Coherent π-pulse propagation with pulse break-up in an erbium-doped fiber waveguide amplifier," Phys. Rev. A 45, R2682-R2685 (1992).
    [CrossRef]
  9. E. Desurvire, J. L. Zyskind, and J. R. Simpson, "Spectral gain hole-burning at 153μm in erbium-doped fiber amplifiers," IEEE Photon. Technol. Lett. 2, 246-248 (1990).
    [CrossRef]
  10. A. I. Maimistov and E. A. Manykin, "Propagation of ultrashort optical pulses in resonant non-linear light guides," Zh. Eksp. Teor. Fiz. 85, 1177-1181 (1983) A. I. Maimistov and E. A. Manykin,[Sov. Phys. JETP 58, 685-687 (1983)].
  11. V. V. Kozlov and E. E. Fradkin, "Mechanism of formation of pulses of self-induced transparency in the presence of Kerr nonlinearity," Zh. Eksp. Teor. Fiz. 109, 89-115 (1996) V. V. Kozlov and E. E. Fradkin,[Sov. Phys. JETP 82, 46-59 (1996)].
  12. I. R. Gabitov, M. Romagnoli, and S. Wabnitz, "Femtosecond soliton collapse and coherent pulse train generation in erbium doped fiber amplifiers," Appl. Phys. Lett. 59, 1811-1813 (1991).
    [CrossRef]
  13. A. I. Maimistov, "Light pulse amplification in a single-mode fiber waveguide containing resonant impurities," Sov. J. Quantum Electron. 22, 271-276 (1992).
  14. A. I. Maimistov, "Optical soliton amplification: adiabatic approximation," Opt. Spectrosc. 72, 631-634 (1992).
  15. S. Ghosh, J. E. Sharping, D. G. Ouzounov, and A. L. Gaeta, "Resonant optical interactions with molecules confined in photonic band-gap fibers," Phys. Rev. Lett. 94, 093902 (2005).
    [CrossRef]
  16. F. Benabid, P. S. Light, F. Couny, and P. St. J. Russell, "Electromagnetically-induced transparency grid in acetylene-filled hollow-core PCF," Opt. Express 13, 5694-5703 (2005).
    [CrossRef]
  17. S. O. Elyutin and A. I. Maimistov, "Short optical pulse polarization dynamics in a nonlinear birefringent doped fiber," Zh. Eksp. Teor. Fiz. 120, 846-862 (2001).
  18. L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Wiley, 1975).
  19. A. I. Maimistov, A. M. Basharov, S. O. Elyutin, and Y. M. Sklyarov, "Present state of self-induced transparency theory," Phys. Rep. 191, 1-108 (1990).
    [CrossRef]
  20. A. I. Maimistov and A. M. Basharov, Nonlinear Optical Waves (Kluwer, 1999).
  21. A. M. Basharov and A. I. Maimistov, "On self-induced transparency under condition of degeneration of resonant energy levels," Zh. Eksp. Teor. Fiz. 87, 1594-1605 (1984) A. M. Basharov and A. I. Maimistov,[Sov. Phys. JETP 60, 913-924(1984)].
  22. B. Daino, G. Gregori, and S. Wabnitz, "New all-optical devices based on third-order nonlinearity of birefringent fibers," Opt. Lett. 11, 42-44 (1986).
  23. H. G. Winful, "Polarization instabilities in birefringent nonlinear media: application to fiber-optic devices," Opt. Lett. 11, 33-35 (1986).
  24. K. J. Blow, N. J. Doran, and D. Wood, "Polarization instabilities for solitons in birefringent fibers," Opt. Lett. 12, 202-204 (1987).
  25. J. Botineau and R. H. Stolen, "Effect of polarization on spectral broadening in optical fibers," J. Opt. Soc. Am. 72, 1592-1596 (1982).
  26. C. R. Menyuk, "Nonlinear pulse propagation in birefringent optical fibers," IEEE J. Quantum Electron. 23, 174-176 (1987).
    [CrossRef]
  27. A. D. Boardman and G. S. Cooper, "Evolution of circularly polarized pulses in nonlinear optical fibres," J. Mod. Opt. 35, 407-417 (1988).
  28. A. D. Boardman and G. S. Cooper, "Power-dependent polarization of optical pulses," J. Opt. Soc. Am. B 5, 403-418 (1988).
  29. C. K. Rhodes, A. Szöke, and A. Javan, "The influence of level degeneracy on the self-induced transparency effect," Phys. Rev. Lett. 21, 1151-1155 (1968).
    [CrossRef]
  30. E. Y. C. Lu and L. E. Wood, "Single-peaked self-induced transparency pulses in a degenerate resonant medium," Phys. Lett. 45A, 373-374 (1973).
  31. E. Y. C. Lu and L. E. Wood, "Analytic description of distortionless propagation in a resonant absorbing medium with overlapping Q(j)-transitions," Opt. Commun. 10, 169-171 (1974).
  32. R. T. Taha and M. J. J. Ablowitz, "Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation," Comput. Phys. 55, 203-230 (1984).
  33. G. L. Lamb, Jr., "Pulse propagation in a lossless amplifier," Phys. Lett. 29A, 507-508 (1969).
    [CrossRef]
  34. G. L. Lamb, Jr., "Amplification of coherent optical pulses," Phys. Rev. A 12, 2052-2059 (1975).
    [CrossRef]
  35. I. R. Gabitov and S. V. Manakov, "Propagation of ultrashort optical pulses in degenerate laser amplifiers," Phys. Rev. Lett. 50, 495-498 (1983).
    [CrossRef]
  36. G. S. Agarwal, "Coherent population trapping states of a system interacting with quantized fields and the production of the photonstatistics matched fields," Phys. Rev. Lett. 71, 1351-1354 (1993).
    [CrossRef]
  37. F. Renzoni and E. Arimondo, "Population-loss-induced narrowing of dark resonances," Phys. Rev. A 58, 4717-4722 (1998).
    [CrossRef]
  38. E. Arimondo, in Progress in Optics, Vol. 35, E.Wolf, ed. (Elsevier, 1996), p. 257.
  39. L. E. E. de Araujo, "Coherent population trapping in ultrashort pulsed excitation of multilevel systems," Phys. Rev. A 69, 013408 (2004).
    [CrossRef]

2005 (2)

S. Ghosh, J. E. Sharping, D. G. Ouzounov, and A. L. Gaeta, "Resonant optical interactions with molecules confined in photonic band-gap fibers," Phys. Rev. Lett. 94, 093902 (2005).
[CrossRef]

F. Benabid, P. S. Light, F. Couny, and P. St. J. Russell, "Electromagnetically-induced transparency grid in acetylene-filled hollow-core PCF," Opt. Express 13, 5694-5703 (2005).
[CrossRef]

2004 (1)

L. E. E. de Araujo, "Coherent population trapping in ultrashort pulsed excitation of multilevel systems," Phys. Rev. A 69, 013408 (2004).
[CrossRef]

2001 (1)

S. O. Elyutin and A. I. Maimistov, "Short optical pulse polarization dynamics in a nonlinear birefringent doped fiber," Zh. Eksp. Teor. Fiz. 120, 846-862 (2001).

1998 (1)

F. Renzoni and E. Arimondo, "Population-loss-induced narrowing of dark resonances," Phys. Rev. A 58, 4717-4722 (1998).
[CrossRef]

1996 (1)

V. V. Kozlov and E. E. Fradkin, "Mechanism of formation of pulses of self-induced transparency in the presence of Kerr nonlinearity," Zh. Eksp. Teor. Fiz. 109, 89-115 (1996) V. V. Kozlov and E. E. Fradkin,[Sov. Phys. JETP 82, 46-59 (1996)].

V. V. Kozlov and E. E. Fradkin, "Mechanism of formation of pulses of self-induced transparency in the presence of Kerr nonlinearity," Zh. Eksp. Teor. Fiz. 109, 89-115 (1996) V. V. Kozlov and E. E. Fradkin,[Sov. Phys. JETP 82, 46-59 (1996)].

1993 (1)

G. S. Agarwal, "Coherent population trapping states of a system interacting with quantized fields and the production of the photonstatistics matched fields," Phys. Rev. Lett. 71, 1351-1354 (1993).
[CrossRef]

1992 (4)

A. I. Maimistov, "Light pulse amplification in a single-mode fiber waveguide containing resonant impurities," Sov. J. Quantum Electron. 22, 271-276 (1992).

A. I. Maimistov, "Optical soliton amplification: adiabatic approximation," Opt. Spectrosc. 72, 631-634 (1992).

M. Nakazawa, Y. Kimura, K. Kurokawa, and K. Suzuki, "Self-induced transparency solitons in an erbium-doped fiber waveguide," Phys. Rev. A 45, R23-R26 (1992).
[CrossRef]

M. Nakazawa, K. Suzuki, Y. Kimura, and H. Kubota, "Coherent π-pulse propagation with pulse break-up in an erbium-doped fiber waveguide amplifier," Phys. Rev. A 45, R2682-R2685 (1992).
[CrossRef]

1991 (1)

I. R. Gabitov, M. Romagnoli, and S. Wabnitz, "Femtosecond soliton collapse and coherent pulse train generation in erbium doped fiber amplifiers," Appl. Phys. Lett. 59, 1811-1813 (1991).
[CrossRef]

1990 (2)

A. I. Maimistov, A. M. Basharov, S. O. Elyutin, and Y. M. Sklyarov, "Present state of self-induced transparency theory," Phys. Rep. 191, 1-108 (1990).
[CrossRef]

E. Desurvire, J. L. Zyskind, and J. R. Simpson, "Spectral gain hole-burning at 153μm in erbium-doped fiber amplifiers," IEEE Photon. Technol. Lett. 2, 246-248 (1990).
[CrossRef]

1988 (2)

A. D. Boardman and G. S. Cooper, "Evolution of circularly polarized pulses in nonlinear optical fibres," J. Mod. Opt. 35, 407-417 (1988).

A. D. Boardman and G. S. Cooper, "Power-dependent polarization of optical pulses," J. Opt. Soc. Am. B 5, 403-418 (1988).

1987 (2)

C. R. Menyuk, "Nonlinear pulse propagation in birefringent optical fibers," IEEE J. Quantum Electron. 23, 174-176 (1987).
[CrossRef]

K. J. Blow, N. J. Doran, and D. Wood, "Polarization instabilities for solitons in birefringent fibers," Opt. Lett. 12, 202-204 (1987).

1986 (2)

1984 (2)

R. T. Taha and M. J. J. Ablowitz, "Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation," Comput. Phys. 55, 203-230 (1984).

A. M. Basharov and A. I. Maimistov, "On self-induced transparency under condition of degeneration of resonant energy levels," Zh. Eksp. Teor. Fiz. 87, 1594-1605 (1984) A. M. Basharov and A. I. Maimistov,[Sov. Phys. JETP 60, 913-924(1984)].

A. M. Basharov and A. I. Maimistov, "On self-induced transparency under condition of degeneration of resonant energy levels," Zh. Eksp. Teor. Fiz. 87, 1594-1605 (1984) A. M. Basharov and A. I. Maimistov,[Sov. Phys. JETP 60, 913-924(1984)].

1983 (2)

A. I. Maimistov and E. A. Manykin, "Propagation of ultrashort optical pulses in resonant non-linear light guides," Zh. Eksp. Teor. Fiz. 85, 1177-1181 (1983) A. I. Maimistov and E. A. Manykin,[Sov. Phys. JETP 58, 685-687 (1983)].

A. I. Maimistov and E. A. Manykin, "Propagation of ultrashort optical pulses in resonant non-linear light guides," Zh. Eksp. Teor. Fiz. 85, 1177-1181 (1983) A. I. Maimistov and E. A. Manykin,[Sov. Phys. JETP 58, 685-687 (1983)].

I. R. Gabitov and S. V. Manakov, "Propagation of ultrashort optical pulses in degenerate laser amplifiers," Phys. Rev. Lett. 50, 495-498 (1983).
[CrossRef]

1982 (1)

1975 (1)

G. L. Lamb, Jr., "Amplification of coherent optical pulses," Phys. Rev. A 12, 2052-2059 (1975).
[CrossRef]

1974 (1)

E. Y. C. Lu and L. E. Wood, "Analytic description of distortionless propagation in a resonant absorbing medium with overlapping Q(j)-transitions," Opt. Commun. 10, 169-171 (1974).

1973 (1)

E. Y. C. Lu and L. E. Wood, "Single-peaked self-induced transparency pulses in a degenerate resonant medium," Phys. Lett. 45A, 373-374 (1973).

1970 (1)

H. M. Gibbs and R. E. Slusher, "Peak amplification and breakup of a coherent optical pulse in a simple atomic absorber," Phys. Rev. Lett. 24, 638-641 (1970).
[CrossRef]

1969 (2)

S. L. Mc Call and E. L. Hahn, "Self-induced transparency," Phys. Rev. 183, 457-485 (1969).
[CrossRef]

G. L. Lamb, Jr., "Pulse propagation in a lossless amplifier," Phys. Lett. 29A, 507-508 (1969).
[CrossRef]

1968 (2)

C. K. Rhodes, A. Szöke, and A. Javan, "The influence of level degeneracy on the self-induced transparency effect," Phys. Rev. Lett. 21, 1151-1155 (1968).
[CrossRef]

A. Armstrong and E. Courtens, "Exact solution of a π-pulse problem," IEEE J. Quantum Electron. QE-4, 411-419 (1968).

1967 (2)

C. K. N. Patel and R. E. Slusher, "Self-induced transparency in gases," Phys. Rev. Lett. 19, 1019-1022 (1967).
[CrossRef]

S. L. Mc Call and E. L. Hahn, "Self-induced transparency by pulsed coherent light," Phys. Rev. Lett. 18, 908-1181 (1967).
[CrossRef]

1965 (1)

F. T. Arecchi and R. Bonifacio, "Theory of optical maser amplifiers," IEEE J. Quantum Electron. QE-1, 169-178 (1965).
[CrossRef]

Ablowitz, M. J. J.

R. T. Taha and M. J. J. Ablowitz, "Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation," Comput. Phys. 55, 203-230 (1984).

Agarwal, G. S.

G. S. Agarwal, "Coherent population trapping states of a system interacting with quantized fields and the production of the photonstatistics matched fields," Phys. Rev. Lett. 71, 1351-1354 (1993).
[CrossRef]

Allen, L.

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Wiley, 1975).

Arecchi, F. T.

F. T. Arecchi and R. Bonifacio, "Theory of optical maser amplifiers," IEEE J. Quantum Electron. QE-1, 169-178 (1965).
[CrossRef]

Arimondo, E.

F. Renzoni and E. Arimondo, "Population-loss-induced narrowing of dark resonances," Phys. Rev. A 58, 4717-4722 (1998).
[CrossRef]

E. Arimondo, in Progress in Optics, Vol. 35, E.Wolf, ed. (Elsevier, 1996), p. 257.

Armstrong, A.

A. Armstrong and E. Courtens, "Exact solution of a π-pulse problem," IEEE J. Quantum Electron. QE-4, 411-419 (1968).

Basharov, A. M.

A. I. Maimistov, A. M. Basharov, S. O. Elyutin, and Y. M. Sklyarov, "Present state of self-induced transparency theory," Phys. Rep. 191, 1-108 (1990).
[CrossRef]

A. M. Basharov and A. I. Maimistov, "On self-induced transparency under condition of degeneration of resonant energy levels," Zh. Eksp. Teor. Fiz. 87, 1594-1605 (1984) A. M. Basharov and A. I. Maimistov,[Sov. Phys. JETP 60, 913-924(1984)].

A. M. Basharov and A. I. Maimistov, "On self-induced transparency under condition of degeneration of resonant energy levels," Zh. Eksp. Teor. Fiz. 87, 1594-1605 (1984) A. M. Basharov and A. I. Maimistov,[Sov. Phys. JETP 60, 913-924(1984)].

A. I. Maimistov and A. M. Basharov, Nonlinear Optical Waves (Kluwer, 1999).

Benabid, F.

Blow, K. J.

Boardman, A. D.

A. D. Boardman and G. S. Cooper, "Power-dependent polarization of optical pulses," J. Opt. Soc. Am. B 5, 403-418 (1988).

A. D. Boardman and G. S. Cooper, "Evolution of circularly polarized pulses in nonlinear optical fibres," J. Mod. Opt. 35, 407-417 (1988).

Bonifacio, R.

F. T. Arecchi and R. Bonifacio, "Theory of optical maser amplifiers," IEEE J. Quantum Electron. QE-1, 169-178 (1965).
[CrossRef]

Botineau, J.

Cooper, G. S.

A. D. Boardman and G. S. Cooper, "Evolution of circularly polarized pulses in nonlinear optical fibres," J. Mod. Opt. 35, 407-417 (1988).

A. D. Boardman and G. S. Cooper, "Power-dependent polarization of optical pulses," J. Opt. Soc. Am. B 5, 403-418 (1988).

Couny, F.

Courtens, E.

A. Armstrong and E. Courtens, "Exact solution of a π-pulse problem," IEEE J. Quantum Electron. QE-4, 411-419 (1968).

Daino, B.

de Araujo, L. E. E.

L. E. E. de Araujo, "Coherent population trapping in ultrashort pulsed excitation of multilevel systems," Phys. Rev. A 69, 013408 (2004).
[CrossRef]

Desurvire, E.

E. Desurvire, J. L. Zyskind, and J. R. Simpson, "Spectral gain hole-burning at 153μm in erbium-doped fiber amplifiers," IEEE Photon. Technol. Lett. 2, 246-248 (1990).
[CrossRef]

Doran, N. J.

Eberly, J. H.

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Wiley, 1975).

Elyutin, S. O.

S. O. Elyutin and A. I. Maimistov, "Short optical pulse polarization dynamics in a nonlinear birefringent doped fiber," Zh. Eksp. Teor. Fiz. 120, 846-862 (2001).

A. I. Maimistov, A. M. Basharov, S. O. Elyutin, and Y. M. Sklyarov, "Present state of self-induced transparency theory," Phys. Rep. 191, 1-108 (1990).
[CrossRef]

Fradkin, E. E.

V. V. Kozlov and E. E. Fradkin, "Mechanism of formation of pulses of self-induced transparency in the presence of Kerr nonlinearity," Zh. Eksp. Teor. Fiz. 109, 89-115 (1996) V. V. Kozlov and E. E. Fradkin,[Sov. Phys. JETP 82, 46-59 (1996)].

V. V. Kozlov and E. E. Fradkin, "Mechanism of formation of pulses of self-induced transparency in the presence of Kerr nonlinearity," Zh. Eksp. Teor. Fiz. 109, 89-115 (1996) V. V. Kozlov and E. E. Fradkin,[Sov. Phys. JETP 82, 46-59 (1996)].

Gabitov, I. R.

I. R. Gabitov, M. Romagnoli, and S. Wabnitz, "Femtosecond soliton collapse and coherent pulse train generation in erbium doped fiber amplifiers," Appl. Phys. Lett. 59, 1811-1813 (1991).
[CrossRef]

I. R. Gabitov and S. V. Manakov, "Propagation of ultrashort optical pulses in degenerate laser amplifiers," Phys. Rev. Lett. 50, 495-498 (1983).
[CrossRef]

Gaeta, A. L.

S. Ghosh, J. E. Sharping, D. G. Ouzounov, and A. L. Gaeta, "Resonant optical interactions with molecules confined in photonic band-gap fibers," Phys. Rev. Lett. 94, 093902 (2005).
[CrossRef]

Ghosh, S.

S. Ghosh, J. E. Sharping, D. G. Ouzounov, and A. L. Gaeta, "Resonant optical interactions with molecules confined in photonic band-gap fibers," Phys. Rev. Lett. 94, 093902 (2005).
[CrossRef]

Gibbs, H. M.

H. M. Gibbs and R. E. Slusher, "Peak amplification and breakup of a coherent optical pulse in a simple atomic absorber," Phys. Rev. Lett. 24, 638-641 (1970).
[CrossRef]

Gregori, G.

Hahn, E. L.

S. L. Mc Call and E. L. Hahn, "Self-induced transparency," Phys. Rev. 183, 457-485 (1969).
[CrossRef]

S. L. Mc Call and E. L. Hahn, "Self-induced transparency by pulsed coherent light," Phys. Rev. Lett. 18, 908-1181 (1967).
[CrossRef]

Javan, A.

C. K. Rhodes, A. Szöke, and A. Javan, "The influence of level degeneracy on the self-induced transparency effect," Phys. Rev. Lett. 21, 1151-1155 (1968).
[CrossRef]

Kimura, Y.

M. Nakazawa, Y. Kimura, K. Kurokawa, and K. Suzuki, "Self-induced transparency solitons in an erbium-doped fiber waveguide," Phys. Rev. A 45, R23-R26 (1992).
[CrossRef]

M. Nakazawa, K. Suzuki, Y. Kimura, and H. Kubota, "Coherent π-pulse propagation with pulse break-up in an erbium-doped fiber waveguide amplifier," Phys. Rev. A 45, R2682-R2685 (1992).
[CrossRef]

Kozlov, V. V.

V. V. Kozlov and E. E. Fradkin, "Mechanism of formation of pulses of self-induced transparency in the presence of Kerr nonlinearity," Zh. Eksp. Teor. Fiz. 109, 89-115 (1996) V. V. Kozlov and E. E. Fradkin,[Sov. Phys. JETP 82, 46-59 (1996)].

V. V. Kozlov and E. E. Fradkin, "Mechanism of formation of pulses of self-induced transparency in the presence of Kerr nonlinearity," Zh. Eksp. Teor. Fiz. 109, 89-115 (1996) V. V. Kozlov and E. E. Fradkin,[Sov. Phys. JETP 82, 46-59 (1996)].

Kubota, H.

M. Nakazawa, K. Suzuki, Y. Kimura, and H. Kubota, "Coherent π-pulse propagation with pulse break-up in an erbium-doped fiber waveguide amplifier," Phys. Rev. A 45, R2682-R2685 (1992).
[CrossRef]

Kurokawa, K.

M. Nakazawa, Y. Kimura, K. Kurokawa, and K. Suzuki, "Self-induced transparency solitons in an erbium-doped fiber waveguide," Phys. Rev. A 45, R23-R26 (1992).
[CrossRef]

Lamb, G. L.

G. L. Lamb, Jr., "Amplification of coherent optical pulses," Phys. Rev. A 12, 2052-2059 (1975).
[CrossRef]

G. L. Lamb, Jr., "Pulse propagation in a lossless amplifier," Phys. Lett. 29A, 507-508 (1969).
[CrossRef]

Light, P. S.

Lu, E. Y. C.

E. Y. C. Lu and L. E. Wood, "Analytic description of distortionless propagation in a resonant absorbing medium with overlapping Q(j)-transitions," Opt. Commun. 10, 169-171 (1974).

E. Y. C. Lu and L. E. Wood, "Single-peaked self-induced transparency pulses in a degenerate resonant medium," Phys. Lett. 45A, 373-374 (1973).

Maimistov, A. I.

S. O. Elyutin and A. I. Maimistov, "Short optical pulse polarization dynamics in a nonlinear birefringent doped fiber," Zh. Eksp. Teor. Fiz. 120, 846-862 (2001).

A. I. Maimistov, "Light pulse amplification in a single-mode fiber waveguide containing resonant impurities," Sov. J. Quantum Electron. 22, 271-276 (1992).

A. I. Maimistov, "Optical soliton amplification: adiabatic approximation," Opt. Spectrosc. 72, 631-634 (1992).

A. I. Maimistov, A. M. Basharov, S. O. Elyutin, and Y. M. Sklyarov, "Present state of self-induced transparency theory," Phys. Rep. 191, 1-108 (1990).
[CrossRef]

A. M. Basharov and A. I. Maimistov, "On self-induced transparency under condition of degeneration of resonant energy levels," Zh. Eksp. Teor. Fiz. 87, 1594-1605 (1984) A. M. Basharov and A. I. Maimistov,[Sov. Phys. JETP 60, 913-924(1984)].

A. M. Basharov and A. I. Maimistov, "On self-induced transparency under condition of degeneration of resonant energy levels," Zh. Eksp. Teor. Fiz. 87, 1594-1605 (1984) A. M. Basharov and A. I. Maimistov,[Sov. Phys. JETP 60, 913-924(1984)].

A. I. Maimistov and E. A. Manykin, "Propagation of ultrashort optical pulses in resonant non-linear light guides," Zh. Eksp. Teor. Fiz. 85, 1177-1181 (1983) A. I. Maimistov and E. A. Manykin,[Sov. Phys. JETP 58, 685-687 (1983)].

A. I. Maimistov and E. A. Manykin, "Propagation of ultrashort optical pulses in resonant non-linear light guides," Zh. Eksp. Teor. Fiz. 85, 1177-1181 (1983) A. I. Maimistov and E. A. Manykin,[Sov. Phys. JETP 58, 685-687 (1983)].

A. I. Maimistov and A. M. Basharov, Nonlinear Optical Waves (Kluwer, 1999).

Manakov, S. V.

I. R. Gabitov and S. V. Manakov, "Propagation of ultrashort optical pulses in degenerate laser amplifiers," Phys. Rev. Lett. 50, 495-498 (1983).
[CrossRef]

Manykin, E. A.

A. I. Maimistov and E. A. Manykin, "Propagation of ultrashort optical pulses in resonant non-linear light guides," Zh. Eksp. Teor. Fiz. 85, 1177-1181 (1983) A. I. Maimistov and E. A. Manykin,[Sov. Phys. JETP 58, 685-687 (1983)].

A. I. Maimistov and E. A. Manykin, "Propagation of ultrashort optical pulses in resonant non-linear light guides," Zh. Eksp. Teor. Fiz. 85, 1177-1181 (1983) A. I. Maimistov and E. A. Manykin,[Sov. Phys. JETP 58, 685-687 (1983)].

Mc Call, S. L.

S. L. Mc Call and E. L. Hahn, "Self-induced transparency," Phys. Rev. 183, 457-485 (1969).
[CrossRef]

S. L. Mc Call and E. L. Hahn, "Self-induced transparency by pulsed coherent light," Phys. Rev. Lett. 18, 908-1181 (1967).
[CrossRef]

Menyuk, C. R.

C. R. Menyuk, "Nonlinear pulse propagation in birefringent optical fibers," IEEE J. Quantum Electron. 23, 174-176 (1987).
[CrossRef]

Nakazawa, M.

M. Nakazawa, K. Suzuki, Y. Kimura, and H. Kubota, "Coherent π-pulse propagation with pulse break-up in an erbium-doped fiber waveguide amplifier," Phys. Rev. A 45, R2682-R2685 (1992).
[CrossRef]

M. Nakazawa, Y. Kimura, K. Kurokawa, and K. Suzuki, "Self-induced transparency solitons in an erbium-doped fiber waveguide," Phys. Rev. A 45, R23-R26 (1992).
[CrossRef]

Ouzounov, D. G.

S. Ghosh, J. E. Sharping, D. G. Ouzounov, and A. L. Gaeta, "Resonant optical interactions with molecules confined in photonic band-gap fibers," Phys. Rev. Lett. 94, 093902 (2005).
[CrossRef]

Patel, C. K. N.

C. K. N. Patel and R. E. Slusher, "Self-induced transparency in gases," Phys. Rev. Lett. 19, 1019-1022 (1967).
[CrossRef]

Renzoni, F.

F. Renzoni and E. Arimondo, "Population-loss-induced narrowing of dark resonances," Phys. Rev. A 58, 4717-4722 (1998).
[CrossRef]

Rhodes, C. K.

C. K. Rhodes, A. Szöke, and A. Javan, "The influence of level degeneracy on the self-induced transparency effect," Phys. Rev. Lett. 21, 1151-1155 (1968).
[CrossRef]

Romagnoli, M.

I. R. Gabitov, M. Romagnoli, and S. Wabnitz, "Femtosecond soliton collapse and coherent pulse train generation in erbium doped fiber amplifiers," Appl. Phys. Lett. 59, 1811-1813 (1991).
[CrossRef]

Russell, P. St. J.

Sharping, J. E.

S. Ghosh, J. E. Sharping, D. G. Ouzounov, and A. L. Gaeta, "Resonant optical interactions with molecules confined in photonic band-gap fibers," Phys. Rev. Lett. 94, 093902 (2005).
[CrossRef]

Simpson, J. R.

E. Desurvire, J. L. Zyskind, and J. R. Simpson, "Spectral gain hole-burning at 153μm in erbium-doped fiber amplifiers," IEEE Photon. Technol. Lett. 2, 246-248 (1990).
[CrossRef]

Sklyarov, Y. M.

A. I. Maimistov, A. M. Basharov, S. O. Elyutin, and Y. M. Sklyarov, "Present state of self-induced transparency theory," Phys. Rep. 191, 1-108 (1990).
[CrossRef]

Slusher, R. E.

H. M. Gibbs and R. E. Slusher, "Peak amplification and breakup of a coherent optical pulse in a simple atomic absorber," Phys. Rev. Lett. 24, 638-641 (1970).
[CrossRef]

C. K. N. Patel and R. E. Slusher, "Self-induced transparency in gases," Phys. Rev. Lett. 19, 1019-1022 (1967).
[CrossRef]

Stolen, R. H.

Suzuki, K.

M. Nakazawa, K. Suzuki, Y. Kimura, and H. Kubota, "Coherent π-pulse propagation with pulse break-up in an erbium-doped fiber waveguide amplifier," Phys. Rev. A 45, R2682-R2685 (1992).
[CrossRef]

M. Nakazawa, Y. Kimura, K. Kurokawa, and K. Suzuki, "Self-induced transparency solitons in an erbium-doped fiber waveguide," Phys. Rev. A 45, R23-R26 (1992).
[CrossRef]

Szöke, A.

C. K. Rhodes, A. Szöke, and A. Javan, "The influence of level degeneracy on the self-induced transparency effect," Phys. Rev. Lett. 21, 1151-1155 (1968).
[CrossRef]

Taha, R. T.

R. T. Taha and M. J. J. Ablowitz, "Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation," Comput. Phys. 55, 203-230 (1984).

Wabnitz, S.

I. R. Gabitov, M. Romagnoli, and S. Wabnitz, "Femtosecond soliton collapse and coherent pulse train generation in erbium doped fiber amplifiers," Appl. Phys. Lett. 59, 1811-1813 (1991).
[CrossRef]

B. Daino, G. Gregori, and S. Wabnitz, "New all-optical devices based on third-order nonlinearity of birefringent fibers," Opt. Lett. 11, 42-44 (1986).

Winful, H. G.

Wood, D.

Wood, L. E.

E. Y. C. Lu and L. E. Wood, "Analytic description of distortionless propagation in a resonant absorbing medium with overlapping Q(j)-transitions," Opt. Commun. 10, 169-171 (1974).

E. Y. C. Lu and L. E. Wood, "Single-peaked self-induced transparency pulses in a degenerate resonant medium," Phys. Lett. 45A, 373-374 (1973).

Zyskind, J. L.

E. Desurvire, J. L. Zyskind, and J. R. Simpson, "Spectral gain hole-burning at 153μm in erbium-doped fiber amplifiers," IEEE Photon. Technol. Lett. 2, 246-248 (1990).
[CrossRef]

Appl. Phys. Lett. (1)

I. R. Gabitov, M. Romagnoli, and S. Wabnitz, "Femtosecond soliton collapse and coherent pulse train generation in erbium doped fiber amplifiers," Appl. Phys. Lett. 59, 1811-1813 (1991).
[CrossRef]

Comput. Phys. (1)

R. T. Taha and M. J. J. Ablowitz, "Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation," Comput. Phys. 55, 203-230 (1984).

IEEE J. Quantum Electron. (3)

C. R. Menyuk, "Nonlinear pulse propagation in birefringent optical fibers," IEEE J. Quantum Electron. 23, 174-176 (1987).
[CrossRef]

F. T. Arecchi and R. Bonifacio, "Theory of optical maser amplifiers," IEEE J. Quantum Electron. QE-1, 169-178 (1965).
[CrossRef]

A. Armstrong and E. Courtens, "Exact solution of a π-pulse problem," IEEE J. Quantum Electron. QE-4, 411-419 (1968).

IEEE Photon. Technol. Lett. (1)

E. Desurvire, J. L. Zyskind, and J. R. Simpson, "Spectral gain hole-burning at 153μm in erbium-doped fiber amplifiers," IEEE Photon. Technol. Lett. 2, 246-248 (1990).
[CrossRef]

J. Mod. Opt. (1)

A. D. Boardman and G. S. Cooper, "Evolution of circularly polarized pulses in nonlinear optical fibres," J. Mod. Opt. 35, 407-417 (1988).

J. Opt. Soc. Am. (1)

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

Opt. Commun. (1)

E. Y. C. Lu and L. E. Wood, "Analytic description of distortionless propagation in a resonant absorbing medium with overlapping Q(j)-transitions," Opt. Commun. 10, 169-171 (1974).

Opt. Express (1)

Opt. Lett. (3)

Opt. Spectrosc. (1)

A. I. Maimistov, "Optical soliton amplification: adiabatic approximation," Opt. Spectrosc. 72, 631-634 (1992).

Phys. Lett. (2)

E. Y. C. Lu and L. E. Wood, "Single-peaked self-induced transparency pulses in a degenerate resonant medium," Phys. Lett. 45A, 373-374 (1973).

G. L. Lamb, Jr., "Pulse propagation in a lossless amplifier," Phys. Lett. 29A, 507-508 (1969).
[CrossRef]

Phys. Rep. (1)

A. I. Maimistov, A. M. Basharov, S. O. Elyutin, and Y. M. Sklyarov, "Present state of self-induced transparency theory," Phys. Rep. 191, 1-108 (1990).
[CrossRef]

Phys. Rev. (1)

S. L. Mc Call and E. L. Hahn, "Self-induced transparency," Phys. Rev. 183, 457-485 (1969).
[CrossRef]

Phys. Rev. A (5)

M. Nakazawa, Y. Kimura, K. Kurokawa, and K. Suzuki, "Self-induced transparency solitons in an erbium-doped fiber waveguide," Phys. Rev. A 45, R23-R26 (1992).
[CrossRef]

M. Nakazawa, K. Suzuki, Y. Kimura, and H. Kubota, "Coherent π-pulse propagation with pulse break-up in an erbium-doped fiber waveguide amplifier," Phys. Rev. A 45, R2682-R2685 (1992).
[CrossRef]

G. L. Lamb, Jr., "Amplification of coherent optical pulses," Phys. Rev. A 12, 2052-2059 (1975).
[CrossRef]

F. Renzoni and E. Arimondo, "Population-loss-induced narrowing of dark resonances," Phys. Rev. A 58, 4717-4722 (1998).
[CrossRef]

L. E. E. de Araujo, "Coherent population trapping in ultrashort pulsed excitation of multilevel systems," Phys. Rev. A 69, 013408 (2004).
[CrossRef]

Phys. Rev. Lett. (7)

I. R. Gabitov and S. V. Manakov, "Propagation of ultrashort optical pulses in degenerate laser amplifiers," Phys. Rev. Lett. 50, 495-498 (1983).
[CrossRef]

G. S. Agarwal, "Coherent population trapping states of a system interacting with quantized fields and the production of the photonstatistics matched fields," Phys. Rev. Lett. 71, 1351-1354 (1993).
[CrossRef]

C. K. Rhodes, A. Szöke, and A. Javan, "The influence of level degeneracy on the self-induced transparency effect," Phys. Rev. Lett. 21, 1151-1155 (1968).
[CrossRef]

S. L. Mc Call and E. L. Hahn, "Self-induced transparency by pulsed coherent light," Phys. Rev. Lett. 18, 908-1181 (1967).
[CrossRef]

C. K. N. Patel and R. E. Slusher, "Self-induced transparency in gases," Phys. Rev. Lett. 19, 1019-1022 (1967).
[CrossRef]

H. M. Gibbs and R. E. Slusher, "Peak amplification and breakup of a coherent optical pulse in a simple atomic absorber," Phys. Rev. Lett. 24, 638-641 (1970).
[CrossRef]

S. Ghosh, J. E. Sharping, D. G. Ouzounov, and A. L. Gaeta, "Resonant optical interactions with molecules confined in photonic band-gap fibers," Phys. Rev. Lett. 94, 093902 (2005).
[CrossRef]

Sov. J. Quantum Electron. (1)

A. I. Maimistov, "Light pulse amplification in a single-mode fiber waveguide containing resonant impurities," Sov. J. Quantum Electron. 22, 271-276 (1992).

Zh. Eksp. Teor. Fiz. (4)

A. I. Maimistov and E. A. Manykin, "Propagation of ultrashort optical pulses in resonant non-linear light guides," Zh. Eksp. Teor. Fiz. 85, 1177-1181 (1983) A. I. Maimistov and E. A. Manykin,[Sov. Phys. JETP 58, 685-687 (1983)].

V. V. Kozlov and E. E. Fradkin, "Mechanism of formation of pulses of self-induced transparency in the presence of Kerr nonlinearity," Zh. Eksp. Teor. Fiz. 109, 89-115 (1996) V. V. Kozlov and E. E. Fradkin,[Sov. Phys. JETP 82, 46-59 (1996)].

S. O. Elyutin and A. I. Maimistov, "Short optical pulse polarization dynamics in a nonlinear birefringent doped fiber," Zh. Eksp. Teor. Fiz. 120, 846-862 (2001).

A. M. Basharov and A. I. Maimistov, "On self-induced transparency under condition of degeneration of resonant energy levels," Zh. Eksp. Teor. Fiz. 87, 1594-1605 (1984) A. M. Basharov and A. I. Maimistov,[Sov. Phys. JETP 60, 913-924(1984)].

Other (3)

E. Arimondo, in Progress in Optics, Vol. 35, E.Wolf, ed. (Elsevier, 1996), p. 257.

A. I. Maimistov and A. M. Basharov, Nonlinear Optical Waves (Kluwer, 1999).

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Wiley, 1975).

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