Abstract

We report the observation of spatial instabilities in singly resonant intracavity second-harmonic generation. Self-focusing as well as spatially ordered near- and far-field structures are observed. Experimental results are compared with mean-field analysis as well as three-dimensional numerical simulations.

© 2003 Optical Society of America

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  1. B. Costantini, C. De Angelis, A. Barthelemy, B. Bourliaguet, and V. Kermene, Opt. Lett. 23, 424 (1998).
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]

2002 (4)

P. Lodahl and M. Saffman, Opt. Lett. 27, 110 (2002).
[CrossRef]

P. Lodahl and M. Saffman, Opt. Lett. 27, 551 (2002), erratum of Ref. 7.
[CrossRef]

M. Bache, P. Lodahl, A. V. Mamaev, M. Marcus, and M. Saffman, Phys. Rev. A 65, 033811 (2002).
[CrossRef]

R. S. Bennink, V. Wong, A. M. Marino, D. L. Aronstein, R. W. Boyd, C. R. Stroud, S. Lukishova, and D. J. Gauthier, Phys. Rev. Lett. 88, 113901 (2002).
[CrossRef]

2001 (2)

2000 (4)

S.-K. Choi, M. Vasilyev, and P. Kumar, Phys. Rev. Lett. 84, 1361 (2000), erratum of Ref. 9.
[CrossRef]

C. Fabre, J. B. Fouet, and A. Maître, Opt. Lett. 25, 76 (2000).
[CrossRef]

P. Lodahl and M. Saffman, Opt. Commun. 184, 493 (2000).
[CrossRef]

P. Lodahl, M. Bache, and M. Saffman, Opt. Lett. 25, 654 (2000).
[CrossRef]

1999 (4)

P. Lodahl and M. Saffman, Phys. Rev. A 60, 3251 (1999).
[CrossRef]

M. Vaupel, A. Maître, and C. Fabre, Phys. Rev. Lett. 83, 5278 (1999).
[CrossRef]

M. I. Kolobov, Rev. Mod. Phys. 71, 1539 (1999).
[CrossRef]

S.-K. Choi, M. Vasilyev, and P. Kumar, Phys. Rev. Lett. 83, 1938 (1999).
[CrossRef]

1998 (1)

1997 (3)

E. M. Nagasako, R. W. Boyd, and G. S. Agarwal, Phys. Rev. A 55, 1412 (1997).
[CrossRef]

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

C. Etrich, U. Peschel, and F. Lederer, Phys. Rev. Lett. 79, 2454 (1997).
[CrossRef]

1996 (2)

1995 (3)

K. Staliunas, J. Mod. Opt. 42, 1261 (1995).
[CrossRef]

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

A. Gatti and L. Lugiato, Phys. Rev. A 52, 1675 (1995).
[CrossRef] [PubMed]

1994 (2)

G.-L. Oppo, M. Brambilla, and L. A. Lugiato, Phys. Rev. A 49, 2028 (1994).
[CrossRef] [PubMed]

T. Ackemann and W. Lange, Phys. Rev. A 50, R4468 (1994).
[CrossRef]

Ackemann, T.

T. Ackemann and W. Lange, Phys. Rev. A 50, R4468 (1994).
[CrossRef]

Agarwal, G. S.

E. M. Nagasako, R. W. Boyd, and G. S. Agarwal, Phys. Rev. A 55, 1412 (1997).
[CrossRef]

Aronstein, D. L.

R. S. Bennink, V. Wong, A. M. Marino, D. L. Aronstein, R. W. Boyd, C. R. Stroud, S. Lukishova, and D. J. Gauthier, Phys. Rev. Lett. 88, 113901 (2002).
[CrossRef]

Baboiu, D.-M.

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

Bache, M.

M. Bache, P. Lodahl, A. V. Mamaev, M. Marcus, and M. Saffman, Phys. Rev. A 65, 033811 (2002).
[CrossRef]

P. Lodahl, M. Bache, and M. Saffman, Opt. Lett. 25, 654 (2000).
[CrossRef]

Barthelemy, A.

Bennink, R. S.

R. S. Bennink, V. Wong, A. M. Marino, D. L. Aronstein, R. W. Boyd, C. R. Stroud, S. Lukishova, and D. J. Gauthier, Phys. Rev. Lett. 88, 113901 (2002).
[CrossRef]

Bourliaguet, B.

Boyd, R. W.

R. S. Bennink, V. Wong, A. M. Marino, D. L. Aronstein, R. W. Boyd, C. R. Stroud, S. Lukishova, and D. J. Gauthier, Phys. Rev. Lett. 88, 113901 (2002).
[CrossRef]

E. M. Nagasako, R. W. Boyd, and G. S. Agarwal, Phys. Rev. A 55, 1412 (1997).
[CrossRef]

Bramati, A.

Brambilla, M.

G.-L. Oppo, M. Brambilla, and L. A. Lugiato, Phys. Rev. A 49, 2028 (1994).
[CrossRef] [PubMed]

Chinaglia, W.

Choi, S.-K.

S.-K. Choi, M. Vasilyev, and P. Kumar, Phys. Rev. Lett. 84, 1361 (2000), erratum of Ref. 9.
[CrossRef]

S.-K. Choi, M. Vasilyev, and P. Kumar, Phys. Rev. Lett. 83, 1938 (1999).
[CrossRef]

Costantini, B.

De Angelis, C.

Di Trapani, P.

Etrich, C.

C. Etrich, U. Peschel, and F. Lederer, Phys. Rev. Lett. 79, 2454 (1997).
[CrossRef]

Fabre, C.

C. Fabre, J. B. Fouet, and A. Maître, Opt. Lett. 25, 76 (2000).
[CrossRef]

M. Vaupel, A. Maître, and C. Fabre, Phys. Rev. Lett. 83, 5278 (1999).
[CrossRef]

Fouet, J. B.

Fuerst, R. A.

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

Gatti, A.

A. Gatti and L. Lugiato, Phys. Rev. A 52, 1675 (1995).
[CrossRef] [PubMed]

Gauthier, D. J.

R. S. Bennink, V. Wong, A. M. Marino, D. L. Aronstein, R. W. Boyd, C. R. Stroud, S. Lukishova, and D. J. Gauthier, Phys. Rev. Lett. 88, 113901 (2002).
[CrossRef]

Haelterman, M.

Hagan, D. J.

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

Kermene, V.

Kolobov, M. I.

M. I. Kolobov, Rev. Mod. Phys. 71, 1539 (1999).
[CrossRef]

Kumar, P.

S.-K. Choi, M. Vasilyev, and P. Kumar, Phys. Rev. Lett. 84, 1361 (2000), erratum of Ref. 9.
[CrossRef]

S.-K. Choi, M. Vasilyev, and P. Kumar, Phys. Rev. Lett. 83, 1938 (1999).
[CrossRef]

Lange, W.

T. Ackemann and W. Lange, Phys. Rev. A 50, R4468 (1994).
[CrossRef]

Lawrence, B.

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

Lederer, F.

C. Etrich, U. Peschel, and F. Lederer, Phys. Rev. Lett. 79, 2454 (1997).
[CrossRef]

Lodahl, P.

M. Bache, P. Lodahl, A. V. Mamaev, M. Marcus, and M. Saffman, Phys. Rev. A 65, 033811 (2002).
[CrossRef]

P. Lodahl and M. Saffman, Opt. Lett. 27, 110 (2002).
[CrossRef]

P. Lodahl and M. Saffman, Opt. Lett. 27, 551 (2002), erratum of Ref. 7.
[CrossRef]

P. Lodahl and M. Saffman, Opt. Commun. 184, 493 (2000).
[CrossRef]

P. Lodahl, M. Bache, and M. Saffman, Opt. Lett. 25, 654 (2000).
[CrossRef]

P. Lodahl and M. Saffman, Phys. Rev. A 60, 3251 (1999).
[CrossRef]

Longhi, S.

S. Longhi, Phys. Rev. A 53, 4488 (1996).
[CrossRef] [PubMed]

Lugiato, L.

A. Gatti and L. Lugiato, Phys. Rev. A 52, 1675 (1995).
[CrossRef] [PubMed]

Lugiato, L. A.

G.-L. Oppo, M. Brambilla, and L. A. Lugiato, Phys. Rev. A 49, 2028 (1994).
[CrossRef] [PubMed]

Lukishova, S.

R. S. Bennink, V. Wong, A. M. Marino, D. L. Aronstein, R. W. Boyd, C. R. Stroud, S. Lukishova, and D. J. Gauthier, Phys. Rev. Lett. 88, 113901 (2002).
[CrossRef]

Maître, A.

C. Fabre, J. B. Fouet, and A. Maître, Opt. Lett. 25, 76 (2000).
[CrossRef]

M. Vaupel, A. Maître, and C. Fabre, Phys. Rev. Lett. 83, 5278 (1999).
[CrossRef]

Mamaev, A. V.

M. Bache, P. Lodahl, A. V. Mamaev, M. Marcus, and M. Saffman, Phys. Rev. A 65, 033811 (2002).
[CrossRef]

Marcus, M.

M. Bache, P. Lodahl, A. V. Mamaev, M. Marcus, and M. Saffman, Phys. Rev. A 65, 033811 (2002).
[CrossRef]

Marino, A. M.

R. S. Bennink, V. Wong, A. M. Marino, D. L. Aronstein, R. W. Boyd, C. R. Stroud, S. Lukishova, and D. J. Gauthier, Phys. Rev. Lett. 88, 113901 (2002).
[CrossRef]

Menyuk, C. R.

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

Minardi, S.

Molina-Terriza, G.

Nagasako, E. M.

E. M. Nagasako, R. W. Boyd, and G. S. Agarwal, Phys. Rev. A 55, 1412 (1997).
[CrossRef]

Oppo, G.-L.

G.-L. Oppo, M. Brambilla, and L. A. Lugiato, Phys. Rev. A 49, 2028 (1994).
[CrossRef] [PubMed]

Peschel, U.

C. Etrich, U. Peschel, and F. Lederer, Phys. Rev. Lett. 79, 2454 (1997).
[CrossRef]

Saffman, M.

M. Bache, P. Lodahl, A. V. Mamaev, M. Marcus, and M. Saffman, Phys. Rev. A 65, 033811 (2002).
[CrossRef]

P. Lodahl and M. Saffman, Opt. Lett. 27, 551 (2002), erratum of Ref. 7.
[CrossRef]

P. Lodahl and M. Saffman, Opt. Lett. 27, 110 (2002).
[CrossRef]

P. Lodahl, M. Bache, and M. Saffman, Opt. Lett. 25, 654 (2000).
[CrossRef]

P. Lodahl and M. Saffman, Opt. Commun. 184, 493 (2000).
[CrossRef]

P. Lodahl and M. Saffman, Phys. Rev. A 60, 3251 (1999).
[CrossRef]

Staliunas, K.

K. Staliunas, J. Mod. Opt. 42, 1261 (1995).
[CrossRef]

Stegeman, G. I.

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

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

Stroud, C. R.

R. S. Bennink, V. Wong, A. M. Marino, D. L. Aronstein, R. W. Boyd, C. R. Stroud, S. Lukishova, and D. J. Gauthier, Phys. Rev. Lett. 88, 113901 (2002).
[CrossRef]

Torner, L.

S. Minardi, G. Molina-Terriza, P. Di Trapani, J. P. Torres, and L. Torner, Opt. Lett. 26, 1004 (2001).
[CrossRef]

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

Torres, J. P.

Torruellas, W. E.

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

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

Trillo, S.

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

S. Trillo and M. Haelterman, Opt. Lett. 21, 1114 (1996).
[CrossRef] [PubMed]

Van Stryland, E. W.

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

Vasilyev, M.

S.-K. Choi, M. Vasilyev, and P. Kumar, Phys. Rev. Lett. 84, 1361 (2000), erratum of Ref. 9.
[CrossRef]

S.-K. Choi, M. Vasilyev, and P. Kumar, Phys. Rev. Lett. 83, 1938 (1999).
[CrossRef]

Vaupel, M.

M. Vaupel, A. Maître, and C. Fabre, Phys. Rev. Lett. 83, 5278 (1999).
[CrossRef]

Wabnitz, S.

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

Wang, Z.

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

Wong, V.

R. S. Bennink, V. Wong, A. M. Marino, D. L. Aronstein, R. W. Boyd, C. R. Stroud, S. Lukishova, and D. J. Gauthier, Phys. Rev. Lett. 88, 113901 (2002).
[CrossRef]

J. Mod. Opt. (1)

K. Staliunas, J. Mod. Opt. 42, 1261 (1995).
[CrossRef]

Opt. Commun. (1)

P. Lodahl and M. Saffman, Opt. Commun. 184, 493 (2000).
[CrossRef]

Opt. Lett. (8)

Phys. Rev. A (7)

A. Gatti and L. Lugiato, Phys. Rev. A 52, 1675 (1995).
[CrossRef] [PubMed]

E. M. Nagasako, R. W. Boyd, and G. S. Agarwal, Phys. Rev. A 55, 1412 (1997).
[CrossRef]

S. Longhi, Phys. Rev. A 53, 4488 (1996).
[CrossRef] [PubMed]

P. Lodahl and M. Saffman, Phys. Rev. A 60, 3251 (1999).
[CrossRef]

M. Bache, P. Lodahl, A. V. Mamaev, M. Marcus, and M. Saffman, Phys. Rev. A 65, 033811 (2002).
[CrossRef]

G.-L. Oppo, M. Brambilla, and L. A. Lugiato, Phys. Rev. A 49, 2028 (1994).
[CrossRef] [PubMed]

T. Ackemann and W. Lange, Phys. Rev. A 50, R4468 (1994).
[CrossRef]

Phys. Rev. Lett. (7)

R. S. Bennink, V. Wong, A. M. Marino, D. L. Aronstein, R. W. Boyd, C. R. Stroud, S. Lukishova, and D. J. Gauthier, Phys. Rev. Lett. 88, 113901 (2002).
[CrossRef]

M. Vaupel, A. Maître, and C. Fabre, Phys. Rev. Lett. 83, 5278 (1999).
[CrossRef]

C. Etrich, U. Peschel, and F. Lederer, Phys. Rev. Lett. 79, 2454 (1997).
[CrossRef]

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

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

S.-K. Choi, M. Vasilyev, and P. Kumar, Phys. Rev. Lett. 83, 1938 (1999).
[CrossRef]

S.-K. Choi, M. Vasilyev, and P. Kumar, Phys. Rev. Lett. 84, 1361 (2000), erratum of Ref. 9.
[CrossRef]

Rev. Mod. Phys. (1)

M. I. Kolobov, Rev. Mod. Phys. 71, 1539 (1999).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Experimental setup: F.I.’s, Faraday isolators; ns, nanosecond. The inset shows a typical temporal profile of the pump pulse.

Fig. 2
Fig. 2

Transverse structures in the second-harmonic beam. Top row, experiment; bottom row, numerical simulation.

Fig. 3
Fig. 3

Mean-field calculation of pump beam intensity It at threshold (solid curve), difference of the transverse threshold and the threshold for internally pumped parametric oscillation It-Ip (dotted curve), and pattern fringe spacing (dashed curve) as a function of normalized cavity detuning Δ for ΔkLc=3.

Fig. 4
Fig. 4

Experimental pictures of spatial structures in the second harmonic observed with increasing pump powers of approximately 1, 5, and 20 kW from top to bottom.

Metrics