Abstract

We study experimentally and numerically the nonlinear scattering of wave packets by local multisite guiding centers embedded in a continuous dielectric medium as a function of the input power and angle of incidence. The extent of trapping into the linear modes of different sites is manipulated as a function of both the input power and the angle of incidence, demonstrating power-controlled switching of nonlinear trapping by local photonic potentials.

© 2008 Optical Society of America

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  1. X. D. Cao and B. A. Malomed, Phys. Lett. A 206, 177 (1995).
    [CrossRef]
  2. A. E. Miroshnichenko, S. Flach, and B. A. Malomed, Chaos 13, 874 (2003).
    [CrossRef] [PubMed]
  3. K. T. Stoychev, M. T. Primatarowa, and R. S. Kamburova, Phys. Rev. E 70, 066622 (2004).
    [CrossRef]
  4. R. H. Goodman, P. J. Holmes, and M. I. Weinstein, Physica D 192, 215 (2004).
    [CrossRef]
  5. H. Sakaguchi and M. Tamura, J. Phys. Soc. Jpn. 74, 292 (2005).
    [CrossRef]
  6. B. Piette, W. J. Zakrzewski, and J. Brand, J. Phys. A 38, 10403 (2005).
    [CrossRef]
  7. J. Garnier and F. Kh. Abdullaev, Phys. Rev. A 74, 013604 (2006).
    [CrossRef]
  8. K. Rapedius, D. Witthaut, and H. J. Korsch, Phys. Rev. A 73, 033608 (2006).
    [CrossRef]
  9. C. Lee and J. Brand, Europhys. Lett. 73, 321 (2006).
    [CrossRef]
  10. Y. Linzon, R. Morandotti, M. Volatier, V. Aimez, R. Ares, and S. Bar-Ad, Phys. Rev. Lett. 99, 133901 (2007).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
  13. A. A. Sukhorukov and Y. S. Kivshar, Opt. Lett. 28, 2345 (2003).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  15. K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, Opt. Lett. 30, 2466 (2005).
    [CrossRef] [PubMed]
  16. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Opt. Express 14, 1576 (2006).
    [CrossRef] [PubMed]

2007 (1)

Y. Linzon, R. Morandotti, M. Volatier, V. Aimez, R. Ares, and S. Bar-Ad, Phys. Rev. Lett. 99, 133901 (2007).
[CrossRef] [PubMed]

2006 (4)

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Opt. Express 14, 1576 (2006).
[CrossRef] [PubMed]

J. Garnier and F. Kh. Abdullaev, Phys. Rev. A 74, 013604 (2006).
[CrossRef]

K. Rapedius, D. Witthaut, and H. J. Korsch, Phys. Rev. A 73, 033608 (2006).
[CrossRef]

C. Lee and J. Brand, Europhys. Lett. 73, 321 (2006).
[CrossRef]

2005 (3)

H. Sakaguchi and M. Tamura, J. Phys. Soc. Jpn. 74, 292 (2005).
[CrossRef]

B. Piette, W. J. Zakrzewski, and J. Brand, J. Phys. A 38, 10403 (2005).
[CrossRef]

K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, Opt. Lett. 30, 2466 (2005).
[CrossRef] [PubMed]

2004 (3)

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, Phys. Rev. Lett. 92, 093904 (2004).
[CrossRef] [PubMed]

K. T. Stoychev, M. T. Primatarowa, and R. S. Kamburova, Phys. Rev. E 70, 066622 (2004).
[CrossRef]

R. H. Goodman, P. J. Holmes, and M. I. Weinstein, Physica D 192, 215 (2004).
[CrossRef]

2003 (2)

A. E. Miroshnichenko, S. Flach, and B. A. Malomed, Chaos 13, 874 (2003).
[CrossRef] [PubMed]

A. A. Sukhorukov and Y. S. Kivshar, Opt. Lett. 28, 2345 (2003).
[CrossRef] [PubMed]

1998 (1)

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[CrossRef]

1995 (1)

X. D. Cao and B. A. Malomed, Phys. Lett. A 206, 177 (1995).
[CrossRef]

1988 (1)

Abdullaev, F. Kh.

J. Garnier and F. Kh. Abdullaev, Phys. Rev. A 74, 013604 (2006).
[CrossRef]

Aimez, V.

Y. Linzon, R. Morandotti, M. Volatier, V. Aimez, R. Ares, and S. Bar-Ad, Phys. Rev. Lett. 99, 133901 (2007).
[CrossRef] [PubMed]

Aitchison, J. S.

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, Phys. Rev. Lett. 92, 093904 (2004).
[CrossRef] [PubMed]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[CrossRef]

Ares, R.

Y. Linzon, R. Morandotti, M. Volatier, V. Aimez, R. Ares, and S. Bar-Ad, Phys. Rev. Lett. 99, 133901 (2007).
[CrossRef] [PubMed]

Bar-Ad, S.

Y. Linzon, R. Morandotti, M. Volatier, V. Aimez, R. Ares, and S. Bar-Ad, Phys. Rev. Lett. 99, 133901 (2007).
[CrossRef] [PubMed]

Boyd, A. R.

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[CrossRef]

Brand, J.

C. Lee and J. Brand, Europhys. Lett. 73, 321 (2006).
[CrossRef]

B. Piette, W. J. Zakrzewski, and J. Brand, J. Phys. A 38, 10403 (2005).
[CrossRef]

Cao, X. D.

X. D. Cao and B. A. Malomed, Phys. Lett. A 206, 177 (1995).
[CrossRef]

Christodoulides, D. N.

Eisenberg, H. S.

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[CrossRef]

Flach, S.

A. E. Miroshnichenko, S. Flach, and B. A. Malomed, Chaos 13, 874 (2003).
[CrossRef] [PubMed]

Garnier, J.

J. Garnier and F. Kh. Abdullaev, Phys. Rev. A 74, 013604 (2006).
[CrossRef]

Goodman, R. H.

R. H. Goodman, P. J. Holmes, and M. I. Weinstein, Physica D 192, 215 (2004).
[CrossRef]

Hache, A.

Holmes, P. J.

R. H. Goodman, P. J. Holmes, and M. I. Weinstein, Physica D 192, 215 (2004).
[CrossRef]

Joseph, R. I.

Kamburova, R. S.

K. T. Stoychev, M. T. Primatarowa, and R. S. Kamburova, Phys. Rev. E 70, 066622 (2004).
[CrossRef]

Kartashov, Y. V.

Kivshar, Y. S.

Korsch, H. J.

K. Rapedius, D. Witthaut, and H. J. Korsch, Phys. Rev. A 73, 033608 (2006).
[CrossRef]

Lee, C.

C. Lee and J. Brand, Europhys. Lett. 73, 321 (2006).
[CrossRef]

Linzon, Y.

Y. Linzon, R. Morandotti, M. Volatier, V. Aimez, R. Ares, and S. Bar-Ad, Phys. Rev. Lett. 99, 133901 (2007).
[CrossRef] [PubMed]

Makris, K. G.

Malomed, B. A.

A. E. Miroshnichenko, S. Flach, and B. A. Malomed, Chaos 13, 874 (2003).
[CrossRef] [PubMed]

X. D. Cao and B. A. Malomed, Phys. Lett. A 206, 177 (1995).
[CrossRef]

Mandelik, D.

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, Phys. Rev. Lett. 92, 093904 (2004).
[CrossRef] [PubMed]

Miroshnichenko, A. E.

A. E. Miroshnichenko, S. Flach, and B. A. Malomed, Chaos 13, 874 (2003).
[CrossRef] [PubMed]

Morandotti, R.

Y. Linzon, R. Morandotti, M. Volatier, V. Aimez, R. Ares, and S. Bar-Ad, Phys. Rev. Lett. 99, 133901 (2007).
[CrossRef] [PubMed]

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, Phys. Rev. Lett. 92, 093904 (2004).
[CrossRef] [PubMed]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[CrossRef]

Piette, B.

B. Piette, W. J. Zakrzewski, and J. Brand, J. Phys. A 38, 10403 (2005).
[CrossRef]

Primatarowa, M. T.

K. T. Stoychev, M. T. Primatarowa, and R. S. Kamburova, Phys. Rev. E 70, 066622 (2004).
[CrossRef]

Rapedius, K.

K. Rapedius, D. Witthaut, and H. J. Korsch, Phys. Rev. A 73, 033608 (2006).
[CrossRef]

Sakaguchi, H.

H. Sakaguchi and M. Tamura, J. Phys. Soc. Jpn. 74, 292 (2005).
[CrossRef]

Silberberg, Y.

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, Phys. Rev. Lett. 92, 093904 (2004).
[CrossRef] [PubMed]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[CrossRef]

Stegeman, G. I.

Stoychev, K. T.

K. T. Stoychev, M. T. Primatarowa, and R. S. Kamburova, Phys. Rev. E 70, 066622 (2004).
[CrossRef]

Sukhorukov, A. A.

Suntsov, S.

Tamura, M.

H. Sakaguchi and M. Tamura, J. Phys. Soc. Jpn. 74, 292 (2005).
[CrossRef]

Torner, L.

Volatier, M.

Y. Linzon, R. Morandotti, M. Volatier, V. Aimez, R. Ares, and S. Bar-Ad, Phys. Rev. Lett. 99, 133901 (2007).
[CrossRef] [PubMed]

Vysloukh, V. A.

Weinstein, M. I.

R. H. Goodman, P. J. Holmes, and M. I. Weinstein, Physica D 192, 215 (2004).
[CrossRef]

Witthaut, D.

K. Rapedius, D. Witthaut, and H. J. Korsch, Phys. Rev. A 73, 033608 (2006).
[CrossRef]

Zakrzewski, W. J.

B. Piette, W. J. Zakrzewski, and J. Brand, J. Phys. A 38, 10403 (2005).
[CrossRef]

Chaos (1)

A. E. Miroshnichenko, S. Flach, and B. A. Malomed, Chaos 13, 874 (2003).
[CrossRef] [PubMed]

Europhys. Lett. (1)

C. Lee and J. Brand, Europhys. Lett. 73, 321 (2006).
[CrossRef]

J. Phys. A (1)

B. Piette, W. J. Zakrzewski, and J. Brand, J. Phys. A 38, 10403 (2005).
[CrossRef]

J. Phys. Soc. Jpn. (1)

H. Sakaguchi and M. Tamura, J. Phys. Soc. Jpn. 74, 292 (2005).
[CrossRef]

Opt. Express (1)

Opt. Lett. (3)

Phys. Lett. A (1)

X. D. Cao and B. A. Malomed, Phys. Lett. A 206, 177 (1995).
[CrossRef]

Phys. Rev. A (2)

J. Garnier and F. Kh. Abdullaev, Phys. Rev. A 74, 013604 (2006).
[CrossRef]

K. Rapedius, D. Witthaut, and H. J. Korsch, Phys. Rev. A 73, 033608 (2006).
[CrossRef]

Phys. Rev. E (1)

K. T. Stoychev, M. T. Primatarowa, and R. S. Kamburova, Phys. Rev. E 70, 066622 (2004).
[CrossRef]

Phys. Rev. Lett. (3)

Y. Linzon, R. Morandotti, M. Volatier, V. Aimez, R. Ares, and S. Bar-Ad, Phys. Rev. Lett. 99, 133901 (2007).
[CrossRef] [PubMed]

D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, Phys. Rev. Lett. 92, 093904 (2004).
[CrossRef] [PubMed]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
[CrossRef]

Physica D (1)

R. H. Goodman, P. J. Holmes, and M. I. Weinstein, Physica D 192, 215 (2004).
[CrossRef]

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Figures (5)

Fig. 1
Fig. 1

(a) Directly excited normal modes of a local photonic structure, (b) side-excited scattered radiation modes, and (c), (d) characteristic plane-wave transmission spectra. In the linear regime direct excitations couple to normal modes (c), while side excitations couple to radiation modes (d), each of which exist in different regions of propagation constants ( β ) .

Fig. 2
Fig. 2

(a) Illustration of the sample’s cross section. (b)–(f) Propagation dynamics from numerical scattering simulations with θ = 6 mrad , (b) fraction of the total power trapped within the entire guiding scattering center for various input powers in the range 100 1800 W , (c)–(f) fraction of the total power within each site for various input powers: (c) 100 W , (d) 600 W , (e) 1100 W , (f) 1800 W . Circles, left site; squares, central site; crosses, right site. On the right are output ( z = 15 mm ) energy distributions among the sites.

Fig. 3
Fig. 3

COM position at the output ( z = 15 mm ) as a function of the input power, corresponding to the numerical simulations of Figs. 2b, 2c, 2d, 2e, 2f. Insets, output power distributions among the different sites at (a) 600 W , (b) 1100 W , (c) 1800 W .

Fig. 4
Fig. 4

Experimental results with θ = 10 mrad as a function of the input power. (a) Output facet images. Top vertical arrows indicate the structure’s site locations. (b) Power integrated along the vertical direction inside the guiding scattering center region. (c) Power distribution’s COM dynamics.

Fig. 5
Fig. 5

Output COM position as a function of the input power in experimental measurements with several excitation input angles.

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