Abstract

In the presence of an intensity-dependent frequency chirp, periodic linear mode coupling between two copropagating waves may counteract their temporal walkoff and lead to a new type of optical soliton that propagates at any wavelength.

© 1989 Optical Society of America

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References

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  1. C. D. Poole, C. R. Giles, Opt. Lett. 13, 155 (1988).
    [CrossRef] [PubMed]
  2. C. D. Poole, R. E. Wagner, Electron. Lett. 22, 1029 (1986).
    [CrossRef]
  3. A. Hasegawa, F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
    [CrossRef]
  4. See, e.g., L. F. Mollenauer, K. Smith, Opt. Lett. 13, 675 (1988).
    [CrossRef] [PubMed]
  5. H. G. Winful, Appl. Phys. Lett. 46, 527 (1985).
    [CrossRef]
  6. I. P. Kaminow, IEEE J. Quantum Electron. QE-17, 15 (1981).
    [CrossRef]
  7. R. H. Stolen, A. Ashkin, W. Pleibel, J. M. Dziedzic, Opt. Lett. 9, 300 (1984).
    [CrossRef] [PubMed]
  8. S. C. Rashleigh, IEEE J. Lightwave Technol. LT-1312 (1983).
    [CrossRef]
  9. D. Marcuse, Theory of Dielectric Waveguides (Academic, New York, 1974).
  10. S. Trillo, S. Wabnitz, W. C. Banyai, N. Finlayson, C. T. Seaton, G. I. Stegeman, R. H. Stolen, IEEE J. Quantum Electron. QE-25, 104 (1989).
    [CrossRef]
  11. C. R. Menyuk, in Digest of Meeting on Nonlinear Guided-Wave Phenomena: Physics and Applications (Optical Society of America, Washington, D.C., 1989), p. 210.
  12. W. Thirring, Ann. Phys. (N.Y.) 3, 91 (1958).
    [CrossRef]
  13. A. V. Mikhailov, Pis’ma Zh. Eksp. Teor. Fiz. 23, 356 (1976) [JETP Lett. 23, 320 (1976)]; E. A. Kuznetsov, A. V. Mikhailov, Teor. Mat. Fiz. 30, 193 (1977).
    [CrossRef]
  14. A fourth-order Runge–Kutta numerical integration scheme was employed.
  15. C. R. Menyuk, Opt. Lett. 12, 614 (1987); J. Opt. Soc. Am. B 5, 392 (1988).
    [CrossRef] [PubMed]
  16. W. Chen, D. L. Mills, Phys. Rev. Lett. 58, 160 (1987); D. L. Mills, S. E. Trullinger, Phys. Rev. B 36, 6269 (1987).
    [CrossRef] [PubMed]
  17. A. B. Aceves, S. Wabnitz, “Self-induced transparency solitons in nonlinear refractive periodic optical media,” Phys. Lett. A (to be published).
  18. D. N. Christodoulides, R. I. Joseph, Phys. Rev. Lett. 62, 1746 (1989).
    [CrossRef] [PubMed]

1989 (2)

S. Trillo, S. Wabnitz, W. C. Banyai, N. Finlayson, C. T. Seaton, G. I. Stegeman, R. H. Stolen, IEEE J. Quantum Electron. QE-25, 104 (1989).
[CrossRef]

D. N. Christodoulides, R. I. Joseph, Phys. Rev. Lett. 62, 1746 (1989).
[CrossRef] [PubMed]

1988 (2)

1987 (2)

C. R. Menyuk, Opt. Lett. 12, 614 (1987); J. Opt. Soc. Am. B 5, 392 (1988).
[CrossRef] [PubMed]

W. Chen, D. L. Mills, Phys. Rev. Lett. 58, 160 (1987); D. L. Mills, S. E. Trullinger, Phys. Rev. B 36, 6269 (1987).
[CrossRef] [PubMed]

1986 (1)

C. D. Poole, R. E. Wagner, Electron. Lett. 22, 1029 (1986).
[CrossRef]

1985 (1)

H. G. Winful, Appl. Phys. Lett. 46, 527 (1985).
[CrossRef]

1984 (1)

1983 (1)

S. C. Rashleigh, IEEE J. Lightwave Technol. LT-1312 (1983).
[CrossRef]

1981 (1)

I. P. Kaminow, IEEE J. Quantum Electron. QE-17, 15 (1981).
[CrossRef]

1976 (1)

A. V. Mikhailov, Pis’ma Zh. Eksp. Teor. Fiz. 23, 356 (1976) [JETP Lett. 23, 320 (1976)]; E. A. Kuznetsov, A. V. Mikhailov, Teor. Mat. Fiz. 30, 193 (1977).
[CrossRef]

1973 (1)

A. Hasegawa, F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
[CrossRef]

1958 (1)

W. Thirring, Ann. Phys. (N.Y.) 3, 91 (1958).
[CrossRef]

Aceves, A. B.

A. B. Aceves, S. Wabnitz, “Self-induced transparency solitons in nonlinear refractive periodic optical media,” Phys. Lett. A (to be published).

Ashkin, A.

Banyai, W. C.

S. Trillo, S. Wabnitz, W. C. Banyai, N. Finlayson, C. T. Seaton, G. I. Stegeman, R. H. Stolen, IEEE J. Quantum Electron. QE-25, 104 (1989).
[CrossRef]

Chen, W.

W. Chen, D. L. Mills, Phys. Rev. Lett. 58, 160 (1987); D. L. Mills, S. E. Trullinger, Phys. Rev. B 36, 6269 (1987).
[CrossRef] [PubMed]

Christodoulides, D. N.

D. N. Christodoulides, R. I. Joseph, Phys. Rev. Lett. 62, 1746 (1989).
[CrossRef] [PubMed]

Dziedzic, J. M.

Finlayson, N.

S. Trillo, S. Wabnitz, W. C. Banyai, N. Finlayson, C. T. Seaton, G. I. Stegeman, R. H. Stolen, IEEE J. Quantum Electron. QE-25, 104 (1989).
[CrossRef]

Giles, C. R.

Hasegawa, A.

A. Hasegawa, F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
[CrossRef]

Joseph, R. I.

D. N. Christodoulides, R. I. Joseph, Phys. Rev. Lett. 62, 1746 (1989).
[CrossRef] [PubMed]

Kaminow, I. P.

I. P. Kaminow, IEEE J. Quantum Electron. QE-17, 15 (1981).
[CrossRef]

Marcuse, D.

D. Marcuse, Theory of Dielectric Waveguides (Academic, New York, 1974).

Menyuk, C. R.

C. R. Menyuk, Opt. Lett. 12, 614 (1987); J. Opt. Soc. Am. B 5, 392 (1988).
[CrossRef] [PubMed]

C. R. Menyuk, in Digest of Meeting on Nonlinear Guided-Wave Phenomena: Physics and Applications (Optical Society of America, Washington, D.C., 1989), p. 210.

Mikhailov, A. V.

A. V. Mikhailov, Pis’ma Zh. Eksp. Teor. Fiz. 23, 356 (1976) [JETP Lett. 23, 320 (1976)]; E. A. Kuznetsov, A. V. Mikhailov, Teor. Mat. Fiz. 30, 193 (1977).
[CrossRef]

Mills, D. L.

W. Chen, D. L. Mills, Phys. Rev. Lett. 58, 160 (1987); D. L. Mills, S. E. Trullinger, Phys. Rev. B 36, 6269 (1987).
[CrossRef] [PubMed]

Mollenauer, L. F.

Pleibel, W.

Poole, C. D.

C. D. Poole, C. R. Giles, Opt. Lett. 13, 155 (1988).
[CrossRef] [PubMed]

C. D. Poole, R. E. Wagner, Electron. Lett. 22, 1029 (1986).
[CrossRef]

Rashleigh, S. C.

S. C. Rashleigh, IEEE J. Lightwave Technol. LT-1312 (1983).
[CrossRef]

Seaton, C. T.

S. Trillo, S. Wabnitz, W. C. Banyai, N. Finlayson, C. T. Seaton, G. I. Stegeman, R. H. Stolen, IEEE J. Quantum Electron. QE-25, 104 (1989).
[CrossRef]

Smith, K.

Stegeman, G. I.

S. Trillo, S. Wabnitz, W. C. Banyai, N. Finlayson, C. T. Seaton, G. I. Stegeman, R. H. Stolen, IEEE J. Quantum Electron. QE-25, 104 (1989).
[CrossRef]

Stolen, R. H.

S. Trillo, S. Wabnitz, W. C. Banyai, N. Finlayson, C. T. Seaton, G. I. Stegeman, R. H. Stolen, IEEE J. Quantum Electron. QE-25, 104 (1989).
[CrossRef]

R. H. Stolen, A. Ashkin, W. Pleibel, J. M. Dziedzic, Opt. Lett. 9, 300 (1984).
[CrossRef] [PubMed]

Tappert, F.

A. Hasegawa, F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
[CrossRef]

Thirring, W.

W. Thirring, Ann. Phys. (N.Y.) 3, 91 (1958).
[CrossRef]

Trillo, S.

S. Trillo, S. Wabnitz, W. C. Banyai, N. Finlayson, C. T. Seaton, G. I. Stegeman, R. H. Stolen, IEEE J. Quantum Electron. QE-25, 104 (1989).
[CrossRef]

Wabnitz, S.

S. Trillo, S. Wabnitz, W. C. Banyai, N. Finlayson, C. T. Seaton, G. I. Stegeman, R. H. Stolen, IEEE J. Quantum Electron. QE-25, 104 (1989).
[CrossRef]

A. B. Aceves, S. Wabnitz, “Self-induced transparency solitons in nonlinear refractive periodic optical media,” Phys. Lett. A (to be published).

Wagner, R. E.

C. D. Poole, R. E. Wagner, Electron. Lett. 22, 1029 (1986).
[CrossRef]

Winful, H. G.

H. G. Winful, Appl. Phys. Lett. 46, 527 (1985).
[CrossRef]

Ann. Phys. (N.Y.) (1)

W. Thirring, Ann. Phys. (N.Y.) 3, 91 (1958).
[CrossRef]

Appl. Phys. Lett. (2)

A. Hasegawa, F. Tappert, Appl. Phys. Lett. 23, 142 (1973).
[CrossRef]

H. G. Winful, Appl. Phys. Lett. 46, 527 (1985).
[CrossRef]

Electron. Lett. (1)

C. D. Poole, R. E. Wagner, Electron. Lett. 22, 1029 (1986).
[CrossRef]

IEEE J. Lightwave Technol. (1)

S. C. Rashleigh, IEEE J. Lightwave Technol. LT-1312 (1983).
[CrossRef]

IEEE J. Quantum Electron. (2)

I. P. Kaminow, IEEE J. Quantum Electron. QE-17, 15 (1981).
[CrossRef]

S. Trillo, S. Wabnitz, W. C. Banyai, N. Finlayson, C. T. Seaton, G. I. Stegeman, R. H. Stolen, IEEE J. Quantum Electron. QE-25, 104 (1989).
[CrossRef]

Opt. Lett. (4)

Phys. Rev. Lett. (2)

W. Chen, D. L. Mills, Phys. Rev. Lett. 58, 160 (1987); D. L. Mills, S. E. Trullinger, Phys. Rev. B 36, 6269 (1987).
[CrossRef] [PubMed]

D. N. Christodoulides, R. I. Joseph, Phys. Rev. Lett. 62, 1746 (1989).
[CrossRef] [PubMed]

Pis’ma Zh. Eksp. Teor. Fiz. (1)

A. V. Mikhailov, Pis’ma Zh. Eksp. Teor. Fiz. 23, 356 (1976) [JETP Lett. 23, 320 (1976)]; E. A. Kuznetsov, A. V. Mikhailov, Teor. Mat. Fiz. 30, 193 (1977).
[CrossRef]

Other (4)

A fourth-order Runge–Kutta numerical integration scheme was employed.

C. R. Menyuk, in Digest of Meeting on Nonlinear Guided-Wave Phenomena: Physics and Applications (Optical Society of America, Washington, D.C., 1989), p. 210.

A. B. Aceves, S. Wabnitz, “Self-induced transparency solitons in nonlinear refractive periodic optical media,” Phys. Lett. A (to be published).

D. Marcuse, Theory of Dielectric Waveguides (Academic, New York, 1974).

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Figures (4)

Fig. 1
Fig. 1

Intensities in orthogonal polarization components (a) u and (b) υ for a low-power 33-psec FWHM pulse, displayed over a propagation distance z of 850 m.

Fig. 2
Fig. 2

Intensity in both polarization components of Fig. 1 when the input peak power is raised to 9.2 W.

Fig. 3
Fig. 3

Same as in Fig. 1 with input widths of 28 psec and (a) 16-W input peak power in the u polarization, (b) 5.4-W input power in the υ mode.

Fig. 4
Fig. 4

Same as in Fig. 1 with time widths of 14 psec and (a) 40-W input power, (b) 2.2-W input power. Here the extreme values of t and z are doubled (the z values are up to 1.7 km).

Equations (5)

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E ( Z , T ) = e 1 1 ( X , Y ) A 1 ( Z , T ) exp [ i ( β 1 Z ω T ) ] + e 2 2 ( X , Y ) A 2 ( Z , T ) exp [ i ( β 2 Z ω T ) ] ,
A 1 Z + 1 V g 1 A 1 T = i κ A 2 + i ( S | A 1 | 2 + C | A 2 | 2 ) A 1 , A 2 Z + 1 V g 2 A 2 T = i κ A 1 + i ( S | A 2 | 2 + C | A 1 | 2 ) A 2 ,
u z + u t = i υ + i ( σ | u | 2 + | υ | 2 ) u , υ z υ t = i u + i ( σ | υ | 2 + | u | 2 ) υ ,
u = 1 + q 1 q 4 sin Q exp [ i ( z ˆ q t ˆ ) cos Q + i ϕ ] cosh [ ( t ˆ q z ˆ t ˆ 0 ) sin Q i Q / 2 ] , υ = 1 q 1 + q 4 sin Q exp [ i ( z ˆ q t ˆ ) cos Q + i ϕ ] cosh [ ( t ˆ q z ˆ t ˆ 0 ) sin Q + i Q / 2 ] ,
u , υ = ± sin Q 1 + σ exp ( i z cos Q + i ϕ ) cosh [ ( t t 0 ) sin Q i Q / 2 ] .

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