Abstract

It is shown that second-harmonic generation in a grating allows one to cancel the group-velocity difference between two polarization components at fundamental by means of nonlinearly induced phase shifts. This occurs when a new type of cascading soliton propagates on resonance.

© 1996 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. H. G. Winful, J. H. Marburger, E. Germire, Appl. Phys. Lett. 35, 379 (1979).
    [Crossref]
  2. S. Trillo, S. Wabnitz, W. C. Banyai, N. Finlayson, C. T. Seaton, G. I. Stegeman, R. H. Stolen, IEEE J. Quantum Electron. 25, 104 (1989); S. Trillo, S. Wabnitz, G. I. Stegeman, IEEE J. Lightwave Technol. 6, 971 (1988).
    [Crossref]
  3. S. Wabnitz, Opt. Lett. 19, 1071 (1989).
    [Crossref]
  4. C. M. De Sterke, J. E. Sipe, Prog. Opt. 33, 203 (1994).
    [Crossref]
  5. R. DeSalvo, D. J. Hagan, M. Sheik-Bahae, Opt. Lett. 17, 28 (1992); R. Schiek, M. L. Sundheimer, D. J. Kim, Y. Baek, G. I. Stegeman, Opt. Lett. 19, 1949 (1994).
    [Crossref] [PubMed]
  6. Y. Kivshar, Phys. Rev. E 51, 1613 (1995).
    [Crossref]
  7. G. Leo, M. Picciau, G. Assanto, Electron. Lett. 31, 1661 (1995).
    [Crossref]
  8. V. E. Zakharov, S. V. Manakov, Sov. Phys. JETP 42, 842 (1976); D. J. Kaup, A. Rieman, A. Bers, Rev. Mod. Phys. 51, 275 (1979).
    [Crossref]
  9. Y. N. Karamzin, A. P. Sukhorukov, JETP Lett. 20, 339 (1974); Sov. Phys. JETP 41, 414 (1976).
  10. W. E. Torruelas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
    [Crossref]
  11. E. A. Kuznetsov, A. V. Mikhailov, Teor. Mater. Fiz. 30, 193 (1977).
    [Crossref]
  12. Y. Wang, R. Dragila, Phys. Rev. A 41, 5645 (1990).
    [Crossref] [PubMed]
  13. M. N. Islam, Opt. Lett. 15, 417 (1990); M. N. Islam, C. E. Soccolich, D. A. B. Miller, Opt. Lett. 15, 909 (1990).
    [Crossref] [PubMed]

1995 (3)

Y. Kivshar, Phys. Rev. E 51, 1613 (1995).
[Crossref]

G. Leo, M. Picciau, G. Assanto, Electron. Lett. 31, 1661 (1995).
[Crossref]

W. E. Torruelas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[Crossref]

1994 (1)

C. M. De Sterke, J. E. Sipe, Prog. Opt. 33, 203 (1994).
[Crossref]

1992 (1)

1990 (2)

1989 (2)

S. Trillo, S. Wabnitz, W. C. Banyai, N. Finlayson, C. T. Seaton, G. I. Stegeman, R. H. Stolen, IEEE J. Quantum Electron. 25, 104 (1989); S. Trillo, S. Wabnitz, G. I. Stegeman, IEEE J. Lightwave Technol. 6, 971 (1988).
[Crossref]

S. Wabnitz, Opt. Lett. 19, 1071 (1989).
[Crossref]

1979 (1)

H. G. Winful, J. H. Marburger, E. Germire, Appl. Phys. Lett. 35, 379 (1979).
[Crossref]

1977 (1)

E. A. Kuznetsov, A. V. Mikhailov, Teor. Mater. Fiz. 30, 193 (1977).
[Crossref]

1976 (1)

V. E. Zakharov, S. V. Manakov, Sov. Phys. JETP 42, 842 (1976); D. J. Kaup, A. Rieman, A. Bers, Rev. Mod. Phys. 51, 275 (1979).
[Crossref]

1974 (1)

Y. N. Karamzin, A. P. Sukhorukov, JETP Lett. 20, 339 (1974); Sov. Phys. JETP 41, 414 (1976).

Assanto, G.

G. Leo, M. Picciau, G. Assanto, Electron. Lett. 31, 1661 (1995).
[Crossref]

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. 25, 104 (1989); S. Trillo, S. Wabnitz, G. I. Stegeman, IEEE J. Lightwave Technol. 6, 971 (1988).
[Crossref]

De Sterke, C. M.

C. M. De Sterke, J. E. Sipe, Prog. Opt. 33, 203 (1994).
[Crossref]

DeSalvo, R.

Dragila, R.

Y. Wang, R. Dragila, Phys. Rev. A 41, 5645 (1990).
[Crossref] [PubMed]

Finlayson, N.

S. Trillo, S. Wabnitz, W. C. Banyai, N. Finlayson, C. T. Seaton, G. I. Stegeman, R. H. Stolen, IEEE J. Quantum Electron. 25, 104 (1989); S. Trillo, S. Wabnitz, G. I. Stegeman, IEEE J. Lightwave Technol. 6, 971 (1988).
[Crossref]

Germire, E.

H. G. Winful, J. H. Marburger, E. Germire, Appl. Phys. Lett. 35, 379 (1979).
[Crossref]

Hagan, D. J.

W. E. Torruelas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[Crossref]

R. DeSalvo, D. J. Hagan, M. Sheik-Bahae, Opt. Lett. 17, 28 (1992); R. Schiek, M. L. Sundheimer, D. J. Kim, Y. Baek, G. I. Stegeman, Opt. Lett. 19, 1949 (1994).
[Crossref] [PubMed]

Islam, M. N.

Karamzin, Y. N.

Y. N. Karamzin, A. P. Sukhorukov, JETP Lett. 20, 339 (1974); Sov. Phys. JETP 41, 414 (1976).

Kivshar, Y.

Y. Kivshar, Phys. Rev. E 51, 1613 (1995).
[Crossref]

Kuznetsov, E. A.

E. A. Kuznetsov, A. V. Mikhailov, Teor. Mater. Fiz. 30, 193 (1977).
[Crossref]

Leo, G.

G. Leo, M. Picciau, G. Assanto, Electron. Lett. 31, 1661 (1995).
[Crossref]

Manakov, S. V.

V. E. Zakharov, S. V. Manakov, Sov. Phys. JETP 42, 842 (1976); D. J. Kaup, A. Rieman, A. Bers, Rev. Mod. Phys. 51, 275 (1979).
[Crossref]

Marburger, J. H.

H. G. Winful, J. H. Marburger, E. Germire, Appl. Phys. Lett. 35, 379 (1979).
[Crossref]

Menyuk, C. R.

W. E. Torruelas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[Crossref]

Mikhailov, A. V.

E. A. Kuznetsov, A. V. Mikhailov, Teor. Mater. Fiz. 30, 193 (1977).
[Crossref]

Picciau, M.

G. Leo, M. Picciau, G. Assanto, Electron. Lett. 31, 1661 (1995).
[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. 25, 104 (1989); S. Trillo, S. Wabnitz, G. I. Stegeman, IEEE J. Lightwave Technol. 6, 971 (1988).
[Crossref]

Sheik-Bahae, M.

Sipe, J. E.

C. M. De Sterke, J. E. Sipe, Prog. Opt. 33, 203 (1994).
[Crossref]

Stegeman, G. I.

W. E. Torruelas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[Crossref]

S. Trillo, S. Wabnitz, W. C. Banyai, N. Finlayson, C. T. Seaton, G. I. Stegeman, R. H. Stolen, IEEE J. Quantum Electron. 25, 104 (1989); S. Trillo, S. Wabnitz, G. I. Stegeman, IEEE J. Lightwave Technol. 6, 971 (1988).
[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. 25, 104 (1989); S. Trillo, S. Wabnitz, G. I. Stegeman, IEEE J. Lightwave Technol. 6, 971 (1988).
[Crossref]

Sukhorukov, A. P.

Y. N. Karamzin, A. P. Sukhorukov, JETP Lett. 20, 339 (1974); Sov. Phys. JETP 41, 414 (1976).

Torner, L.

W. E. Torruelas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[Crossref]

Torruelas, W. E.

W. E. Torruelas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[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. 25, 104 (1989); S. Trillo, S. Wabnitz, G. I. Stegeman, IEEE J. Lightwave Technol. 6, 971 (1988).
[Crossref]

Van Stryland, E. W.

W. E. Torruelas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[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. 25, 104 (1989); S. Trillo, S. Wabnitz, G. I. Stegeman, IEEE J. Lightwave Technol. 6, 971 (1988).
[Crossref]

S. Wabnitz, Opt. Lett. 19, 1071 (1989).
[Crossref]

Wang, Y.

Y. Wang, R. Dragila, Phys. Rev. A 41, 5645 (1990).
[Crossref] [PubMed]

Wang, Z.

W. E. Torruelas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[Crossref]

Winful, H. G.

H. G. Winful, J. H. Marburger, E. Germire, Appl. Phys. Lett. 35, 379 (1979).
[Crossref]

Zakharov, V. E.

V. E. Zakharov, S. V. Manakov, Sov. Phys. JETP 42, 842 (1976); D. J. Kaup, A. Rieman, A. Bers, Rev. Mod. Phys. 51, 275 (1979).
[Crossref]

Appl. Phys. Lett. (1)

H. G. Winful, J. H. Marburger, E. Germire, Appl. Phys. Lett. 35, 379 (1979).
[Crossref]

Electron. Lett. (1)

G. Leo, M. Picciau, G. Assanto, Electron. Lett. 31, 1661 (1995).
[Crossref]

IEEE J. Quantum Electron. (1)

S. Trillo, S. Wabnitz, W. C. Banyai, N. Finlayson, C. T. Seaton, G. I. Stegeman, R. H. Stolen, IEEE J. Quantum Electron. 25, 104 (1989); S. Trillo, S. Wabnitz, G. I. Stegeman, IEEE J. Lightwave Technol. 6, 971 (1988).
[Crossref]

JETP Lett. (1)

Y. N. Karamzin, A. P. Sukhorukov, JETP Lett. 20, 339 (1974); Sov. Phys. JETP 41, 414 (1976).

Opt. Lett. (3)

Phys. Rev. A (1)

Y. Wang, R. Dragila, Phys. Rev. A 41, 5645 (1990).
[Crossref] [PubMed]

Phys. Rev. E (1)

Y. Kivshar, Phys. Rev. E 51, 1613 (1995).
[Crossref]

Phys. Rev. Lett. (1)

W. E. Torruelas, Z. Wang, D. J. Hagan, E. W. Van Stryland, G. I. Stegeman, L. Torner, C. R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995).
[Crossref]

Prog. Opt. (1)

C. M. De Sterke, J. E. Sipe, Prog. Opt. 33, 203 (1994).
[Crossref]

Sov. Phys. JETP (1)

V. E. Zakharov, S. V. Manakov, Sov. Phys. JETP 42, 842 (1976); D. J. Kaup, A. Rieman, A. Bers, Rev. Mod. Phys. 51, 275 (1979).
[Crossref]

Teor. Mater. Fiz. (1)

E. A. Kuznetsov, A. V. Mikhailov, Teor. Mater. Fiz. 30, 193 (1977).
[Crossref]

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (4)

Fig. 1
Fig. 1

Intensity and phase profile of a symmetric (q = 0) resonance soliton for different values of Q, γ = −1.

Fig. 2
Fig. 2

Quasi-linear (i.e., the FF input intensity is 10 times weaker than the soliton intensity) propagation of the FF components. Q = π/2, q = 0, δk = −50.

Fig. 3
Fig. 3

Group-velocity locking owing to soliton trapping for δk = −50, a symmetrical input, Q = π/8, and no SH seed.

Fig. 4
Fig. 4

Soliton group-velocity locking for an asymmetrical FF input (q = 0.5, Q = π/2) and no SH seed: (a)a1, (b) a2, (c) a3. δk = −10.

Equations (9)

Equations on this page are rendered with MathJax. Learn more.

i ( E 1 z + 1 V 1 E 1 t ) = κ E 2 exp ( i Δ β z ) + χ E 3 E 2 * exp ( i Δ k z ) ,
i ( E 2 z + 1 V 2 E 2 t ) = κ E 1 exp ( i Δ β z ) + χ E 3 E 1 * exp ( i Δ k z ) ,
i ( E 3 z + 1 V 3 E 3 t ) = χ E 1 E 2 exp ( i Δ k z ) ,
i a 1 ξ + i a 1 τ + a 2 + a 3 a 2 * = 0 ,
i a 2 ξ + i a 2 τ + a 1 + a 3 a 1 * = 0 ,
i a 3 ξ + i v a 1 τ + δ k a 3 + a 1 a 2 = 0 ,
a 3 = ( a 1 a 2 / δ k ) ,
i u 1 ξ + i u 1 τ + u 2 γ | u 2 | 2 u 1 = 0 , i u 2 ξ i u 2 τ + u 1 γ | u 1 | 2 u 2 = 0 ,
u 1 = ( 1 + q 1 q ) 1 / 4 sin Q sec h [ ζ sin Q + i γ Q / 2 ] exp ( i γ σ ) , u 2 = ( 1 q 1 + q ) 1 / 4 sin Q sec h [ ζ sin Q i γ Q / 2 ] exp ( i γ σ ) ,

Metrics