Abstract

We demonstrate that weak parametric interaction of a fundamental beam with its harmonic field in a Kerr medium can drastically modify the beam dynamics, giving rise to very complex bifurcation phenomena and quasi solitons. Most importantly, we reveal a novel physical mechanism of the collapse suppression in a bulk optical Kerr medium: parametric coupling to a weakly radiating harmonic field.

© 1999 Optical Society of America

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  1. L. Berge, Phys. Rep. 303, 259 (1998).
  2. M. F. Feit and J. A. Fleck, Jr., J. Opt. Soc. Am. B 5, 633 (1988) ; G. Fibich, Phys. Rev. Lett. 76, 4356 (1996).
  3. V. Malkin, Phys. D 64, 251 (1993).
  4. S. Chi and Q. Guo, Opt. Lett. 20, 1598 (1995).
  5. O. Bang, Yu. S. Kivshar, A. V. Buryak, A. De Rossi, and S. Trillo, Phys. Rev. E 58, 5057 (1998).
  6. R. A. Sammut, A. V. Buryak, and Yu. S. Kivshar, J. Opt. Soc. Am. B 15, 1488 (1998).
  7. R. Y. Chiao, E. Garmire, and C. H. Townes, Phys. Rev. Lett. 13, 479 (1964); erratum, 14, 1056 (1965).
  8. K. Hayata, Y. Uehira, and M. Koshiba, Phys. Rev. A 51, 1549 (1995).
  9. A. V. Buryak, Phys. Rev. E 52, 1156 (1995).
  10. V. E. Zakharov and E. A. Kuznetsov, JETP 86, 1035 (1998).
  11. A. R. Champneys and G. L. Lord, Phys. D 102, 101 (1996).
  12. F. V. Kusmartsev, Phys. Rep. 183, 1 (1989).
  13. This conclusion is also supported by data in X. Liu, L. J. Qian, and F. W. Wise, Phys. Rev. Lett. 82, 4631 (1999), in which the case of |Δ|≳100(|Δ|∼|α/σ|) was considered for χ(2) spatiotemporal solitons.

1999

This conclusion is also supported by data in X. Liu, L. J. Qian, and F. W. Wise, Phys. Rev. Lett. 82, 4631 (1999), in which the case of |Δ|≳100(|Δ|∼|α/σ|) was considered for χ(2) spatiotemporal solitons.

1998

O. Bang, Yu. S. Kivshar, A. V. Buryak, A. De Rossi, and S. Trillo, Phys. Rev. E 58, 5057 (1998).

V. E. Zakharov and E. A. Kuznetsov, JETP 86, 1035 (1998).

L. Berge, Phys. Rep. 303, 259 (1998).

R. A. Sammut, A. V. Buryak, and Yu. S. Kivshar, J. Opt. Soc. Am. B 15, 1488 (1998).

1996

A. R. Champneys and G. L. Lord, Phys. D 102, 101 (1996).

1995

K. Hayata, Y. Uehira, and M. Koshiba, Phys. Rev. A 51, 1549 (1995).

A. V. Buryak, Phys. Rev. E 52, 1156 (1995).

S. Chi and Q. Guo, Opt. Lett. 20, 1598 (1995).

1993

V. Malkin, Phys. D 64, 251 (1993).

1989

F. V. Kusmartsev, Phys. Rep. 183, 1 (1989).

1988

1964

R. Y. Chiao, E. Garmire, and C. H. Townes, Phys. Rev. Lett. 13, 479 (1964); erratum, 14, 1056 (1965).

Bang, O.

O. Bang, Yu. S. Kivshar, A. V. Buryak, A. De Rossi, and S. Trillo, Phys. Rev. E 58, 5057 (1998).

Berge, L.

L. Berge, Phys. Rep. 303, 259 (1998).

Buryak, A. V.

O. Bang, Yu. S. Kivshar, A. V. Buryak, A. De Rossi, and S. Trillo, Phys. Rev. E 58, 5057 (1998).

R. A. Sammut, A. V. Buryak, and Yu. S. Kivshar, J. Opt. Soc. Am. B 15, 1488 (1998).

A. V. Buryak, Phys. Rev. E 52, 1156 (1995).

Champneys, A. R.

A. R. Champneys and G. L. Lord, Phys. D 102, 101 (1996).

Chi, S.

Chiao, R. Y.

R. Y. Chiao, E. Garmire, and C. H. Townes, Phys. Rev. Lett. 13, 479 (1964); erratum, 14, 1056 (1965).

De Rossi, A.

O. Bang, Yu. S. Kivshar, A. V. Buryak, A. De Rossi, and S. Trillo, Phys. Rev. E 58, 5057 (1998).

Feit, M. F.

Fibich, G.

Fleck, Jr., J. A.

Garmire, E.

R. Y. Chiao, E. Garmire, and C. H. Townes, Phys. Rev. Lett. 13, 479 (1964); erratum, 14, 1056 (1965).

Guo, Q.

Hayata, K.

K. Hayata, Y. Uehira, and M. Koshiba, Phys. Rev. A 51, 1549 (1995).

Kivshar, Yu. S.

R. A. Sammut, A. V. Buryak, and Yu. S. Kivshar, J. Opt. Soc. Am. B 15, 1488 (1998).

O. Bang, Yu. S. Kivshar, A. V. Buryak, A. De Rossi, and S. Trillo, Phys. Rev. E 58, 5057 (1998).

Koshiba, M.

K. Hayata, Y. Uehira, and M. Koshiba, Phys. Rev. A 51, 1549 (1995).

Kusmartsev, F. V.

F. V. Kusmartsev, Phys. Rep. 183, 1 (1989).

Kuznetsov, E. A.

V. E. Zakharov and E. A. Kuznetsov, JETP 86, 1035 (1998).

Liu, X.

This conclusion is also supported by data in X. Liu, L. J. Qian, and F. W. Wise, Phys. Rev. Lett. 82, 4631 (1999), in which the case of |Δ|≳100(|Δ|∼|α/σ|) was considered for χ(2) spatiotemporal solitons.

Lord, G. L.

A. R. Champneys and G. L. Lord, Phys. D 102, 101 (1996).

Malkin, V.

V. Malkin, Phys. D 64, 251 (1993).

Qian, L. J.

This conclusion is also supported by data in X. Liu, L. J. Qian, and F. W. Wise, Phys. Rev. Lett. 82, 4631 (1999), in which the case of |Δ|≳100(|Δ|∼|α/σ|) was considered for χ(2) spatiotemporal solitons.

Sammut, R. A.

Townes, C. H.

R. Y. Chiao, E. Garmire, and C. H. Townes, Phys. Rev. Lett. 13, 479 (1964); erratum, 14, 1056 (1965).

Trillo, S.

O. Bang, Yu. S. Kivshar, A. V. Buryak, A. De Rossi, and S. Trillo, Phys. Rev. E 58, 5057 (1998).

Uehira, Y.

K. Hayata, Y. Uehira, and M. Koshiba, Phys. Rev. A 51, 1549 (1995).

Wise, F. W.

This conclusion is also supported by data in X. Liu, L. J. Qian, and F. W. Wise, Phys. Rev. Lett. 82, 4631 (1999), in which the case of |Δ|≳100(|Δ|∼|α/σ|) was considered for χ(2) spatiotemporal solitons.

Zakharov, V. E.

V. E. Zakharov and E. A. Kuznetsov, JETP 86, 1035 (1998).

J. Opt. Soc. Am. B

JETP

V. E. Zakharov and E. A. Kuznetsov, JETP 86, 1035 (1998).

Opt. Lett.

Phys. D

A. R. Champneys and G. L. Lord, Phys. D 102, 101 (1996).

V. Malkin, Phys. D 64, 251 (1993).

Phys. Rep.

F. V. Kusmartsev, Phys. Rep. 183, 1 (1989).

L. Berge, Phys. Rep. 303, 259 (1998).

Phys. Rev. A

K. Hayata, Y. Uehira, and M. Koshiba, Phys. Rev. A 51, 1549 (1995).

Phys. Rev. E

A. V. Buryak, Phys. Rev. E 52, 1156 (1995).

O. Bang, Yu. S. Kivshar, A. V. Buryak, A. De Rossi, and S. Trillo, Phys. Rev. E 58, 5057 (1998).

Phys. Rev. Lett.

R. Y. Chiao, E. Garmire, and C. H. Townes, Phys. Rev. Lett. 13, 479 (1964); erratum, 14, 1056 (1965).

This conclusion is also supported by data in X. Liu, L. J. Qian, and F. W. Wise, Phys. Rev. Lett. 82, 4631 (1999), in which the case of |Δ|≳100(|Δ|∼|α/σ|) was considered for χ(2) spatiotemporal solitons.

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