Abstract

We report an experimental study of the breakup through modulational instability of broad fundamental beams near the phase-matching condition for second-harmonic generation in lithium niobate slab waveguides. Two mechanisms for initiating modulational instability, waveguide imperfections and noise on the input beam, are identified.

© 2000 Optical Society of America

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References

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  1. S. A. Akhmanov, R. V. Khokhlov, and A. P. Sukhorukov, in Laser Handbook, F. T. Arecchi and E. O. Schulz-DuBois, eds. (North-Holland, Amsterdam, 1972), pp. 1151–1228.
  2. A. J. Campillo, S. L. Shapiro, and B. R. Suydam, Appl. Phys. Lett. 23, 628 (1973).
    [CrossRef]
  3. R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, Phys. Rev. Let. 78, 2756 (1997).
    [CrossRef]
  4. A. V. Mamaev, M. Saffman, D. Z. Anderson, and A. A. Zozulya, Phys. Rev. A 54, 870 (1996).
    [CrossRef] [PubMed]
  5. G. P. Agrawal, in Nonlinear Fiber Optics (Academic, Boston, Mass., 1989), pp. 105–111.
  6. S. Trillo and P. Ferro, Opt. Lett. 20, 438 (1995).
    [CrossRef] [PubMed]
  7. K. Tai, H. Hasegawa, and A. Tomita, Phys. Rev. Lett. 56, 135 (1986).
    [CrossRef] [PubMed]
  8. A. E. Kaplan, Opt. Lett. 18, 1223 (1993).
    [CrossRef] [PubMed]
  9. S. Trillo and S. Wabnitz, Phys. Rev. E 55, R4897 (1997).
    [CrossRef]
  10. R. Schiek, Y. Baek, and G. I. Stegeman, Phys. Rev. E 53, 1138 (1996).
    [CrossRef]
  11. A. I. D’yachenko, V. E. Zakharov, A. N. Pushkarev, V. E. Shvets, and V. V. Yan’kov, Sov. Phys. JETP 69, 1144 (1989).

1997 (2)

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, Phys. Rev. Let. 78, 2756 (1997).
[CrossRef]

S. Trillo and S. Wabnitz, Phys. Rev. E 55, R4897 (1997).
[CrossRef]

1996 (2)

R. Schiek, Y. Baek, and G. I. Stegeman, Phys. Rev. E 53, 1138 (1996).
[CrossRef]

A. V. Mamaev, M. Saffman, D. Z. Anderson, and A. A. Zozulya, Phys. Rev. A 54, 870 (1996).
[CrossRef] [PubMed]

1995 (1)

1993 (1)

1989 (1)

A. I. D’yachenko, V. E. Zakharov, A. N. Pushkarev, V. E. Shvets, and V. V. Yan’kov, Sov. Phys. JETP 69, 1144 (1989).

1986 (1)

K. Tai, H. Hasegawa, and A. Tomita, Phys. Rev. Lett. 56, 135 (1986).
[CrossRef] [PubMed]

1973 (1)

A. J. Campillo, S. L. Shapiro, and B. R. Suydam, Appl. Phys. Lett. 23, 628 (1973).
[CrossRef]

Agrawal, G. P.

G. P. Agrawal, in Nonlinear Fiber Optics (Academic, Boston, Mass., 1989), pp. 105–111.

Akhmanov, S. A.

S. A. Akhmanov, R. V. Khokhlov, and A. P. Sukhorukov, in Laser Handbook, F. T. Arecchi and E. O. Schulz-DuBois, eds. (North-Holland, Amsterdam, 1972), pp. 1151–1228.

Anderson, D. Z.

A. V. Mamaev, M. Saffman, D. Z. Anderson, and A. A. Zozulya, Phys. Rev. A 54, 870 (1996).
[CrossRef] [PubMed]

Baboiu, D.-M.

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, Phys. Rev. Let. 78, 2756 (1997).
[CrossRef]

Baek, Y.

R. Schiek, Y. Baek, and G. I. Stegeman, Phys. Rev. E 53, 1138 (1996).
[CrossRef]

Campillo, A. J.

A. J. Campillo, S. L. Shapiro, and B. R. Suydam, Appl. Phys. Lett. 23, 628 (1973).
[CrossRef]

D’yachenko, A. I.

A. I. D’yachenko, V. E. Zakharov, A. N. Pushkarev, V. E. Shvets, and V. V. Yan’kov, Sov. Phys. JETP 69, 1144 (1989).

Ferro, P.

Fuerst, R. A.

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, Phys. Rev. Let. 78, 2756 (1997).
[CrossRef]

Hasegawa, H.

K. Tai, H. Hasegawa, and A. Tomita, Phys. Rev. Lett. 56, 135 (1986).
[CrossRef] [PubMed]

Kaplan, A. E.

Khokhlov, R. V.

S. A. Akhmanov, R. V. Khokhlov, and A. P. Sukhorukov, in Laser Handbook, F. T. Arecchi and E. O. Schulz-DuBois, eds. (North-Holland, Amsterdam, 1972), pp. 1151–1228.

Lawrence, B.

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, Phys. Rev. Let. 78, 2756 (1997).
[CrossRef]

Mamaev, A. V.

A. V. Mamaev, M. Saffman, D. Z. Anderson, and A. A. Zozulya, Phys. Rev. A 54, 870 (1996).
[CrossRef] [PubMed]

Pushkarev, A. N.

A. I. D’yachenko, V. E. Zakharov, A. N. Pushkarev, V. E. Shvets, and V. V. Yan’kov, Sov. Phys. JETP 69, 1144 (1989).

Saffman, M.

A. V. Mamaev, M. Saffman, D. Z. Anderson, and A. A. Zozulya, Phys. Rev. A 54, 870 (1996).
[CrossRef] [PubMed]

Schiek, R.

R. Schiek, Y. Baek, and G. I. Stegeman, Phys. Rev. E 53, 1138 (1996).
[CrossRef]

Shapiro, S. L.

A. J. Campillo, S. L. Shapiro, and B. R. Suydam, Appl. Phys. Lett. 23, 628 (1973).
[CrossRef]

Shvets, V. E.

A. I. D’yachenko, V. E. Zakharov, A. N. Pushkarev, V. E. Shvets, and V. V. Yan’kov, Sov. Phys. JETP 69, 1144 (1989).

Stegeman, G. I.

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, Phys. Rev. Let. 78, 2756 (1997).
[CrossRef]

R. Schiek, Y. Baek, and G. I. Stegeman, Phys. Rev. E 53, 1138 (1996).
[CrossRef]

Sukhorukov, A. P.

S. A. Akhmanov, R. V. Khokhlov, and A. P. Sukhorukov, in Laser Handbook, F. T. Arecchi and E. O. Schulz-DuBois, eds. (North-Holland, Amsterdam, 1972), pp. 1151–1228.

Suydam, B. R.

A. J. Campillo, S. L. Shapiro, and B. R. Suydam, Appl. Phys. Lett. 23, 628 (1973).
[CrossRef]

Tai, K.

K. Tai, H. Hasegawa, and A. Tomita, Phys. Rev. Lett. 56, 135 (1986).
[CrossRef] [PubMed]

Tomita, A.

K. Tai, H. Hasegawa, and A. Tomita, Phys. Rev. Lett. 56, 135 (1986).
[CrossRef] [PubMed]

Torruellas, W. E.

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, Phys. Rev. Let. 78, 2756 (1997).
[CrossRef]

Trillo, S.

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, Phys. Rev. Let. 78, 2756 (1997).
[CrossRef]

S. Trillo and S. Wabnitz, Phys. Rev. E 55, R4897 (1997).
[CrossRef]

S. Trillo and P. Ferro, Opt. Lett. 20, 438 (1995).
[CrossRef] [PubMed]

Wabnitz, S.

S. Trillo and S. Wabnitz, Phys. Rev. E 55, R4897 (1997).
[CrossRef]

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, Phys. Rev. Let. 78, 2756 (1997).
[CrossRef]

Yan’kov, V. V.

A. I. D’yachenko, V. E. Zakharov, A. N. Pushkarev, V. E. Shvets, and V. V. Yan’kov, Sov. Phys. JETP 69, 1144 (1989).

Zakharov, V. E.

A. I. D’yachenko, V. E. Zakharov, A. N. Pushkarev, V. E. Shvets, and V. V. Yan’kov, Sov. Phys. JETP 69, 1144 (1989).

Zozulya, A. A.

A. V. Mamaev, M. Saffman, D. Z. Anderson, and A. A. Zozulya, Phys. Rev. A 54, 870 (1996).
[CrossRef] [PubMed]

Appl. Phys. Lett. (1)

A. J. Campillo, S. L. Shapiro, and B. R. Suydam, Appl. Phys. Lett. 23, 628 (1973).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. A (1)

A. V. Mamaev, M. Saffman, D. Z. Anderson, and A. A. Zozulya, Phys. Rev. A 54, 870 (1996).
[CrossRef] [PubMed]

Phys. Rev. E (2)

S. Trillo and S. Wabnitz, Phys. Rev. E 55, R4897 (1997).
[CrossRef]

R. Schiek, Y. Baek, and G. I. Stegeman, Phys. Rev. E 53, 1138 (1996).
[CrossRef]

Phys. Rev. Let. (1)

R. A. Fuerst, D.-M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, Phys. Rev. Let. 78, 2756 (1997).
[CrossRef]

Phys. Rev. Lett. (1)

K. Tai, H. Hasegawa, and A. Tomita, Phys. Rev. Lett. 56, 135 (1986).
[CrossRef] [PubMed]

Sov. Phys. JETP (1)

A. I. D’yachenko, V. E. Zakharov, A. N. Pushkarev, V. E. Shvets, and V. V. Yan’kov, Sov. Phys. JETP 69, 1144 (1989).

Other (2)

G. P. Agrawal, in Nonlinear Fiber Optics (Academic, Boston, Mass., 1989), pp. 105–111.

S. A. Akhmanov, R. V. Khokhlov, and A. P. Sukhorukov, in Laser Handbook, F. T. Arecchi and E. O. Schulz-DuBois, eds. (North-Holland, Amsterdam, 1972), pp. 1151–1228.

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Figures (5)

Fig. 1
Fig. 1

Spatial line scans of the input and output beam profiles for low input power. Input beams with (a) large noise and (b) small noise are shown. Inset, output from beams that propagated in different film regions.

Fig. 2
Fig. 2

Collage of beam profiles output from the waveguide at different power levels. The phase mismatch was ΔβL=21π (at 334 °C).

Fig. 3
Fig. 3

Output profile from a beam with a very regular MI pattern, appearing to evolve into solitonlike structures, ΔβL=9π (at 335 °C).

Fig. 4
Fig. 4

Period of the MI pattern versus the input peak power for a phase mismatch of ΔβL=9π.

Fig. 5
Fig. 5

MI patterns seeded by waveguide imperfections with ΔβL=21π. The top scan shows the output beam far from phase matching, i.e., with negligible nonlinearity.

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