Abstract
Second-harmonic generation of light in bulk quadratic non-linear media with intense input beams containing phase dislocations is studied numerically under conditions for TypeI phase-matching. We investigate how, above a threshold light intensity, the input beams self-split along the azimuthal direction into a pattern of separate beams which then form a set of spatial solitons. The mechanism of such a behaviour is the azimuthal modulational instability of the ring-shaped, mutually trapped fundamental and second-harmonic beams containing the phase dislocations.
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R. W. BOYD, Nonlinear Optics (Academic Press, Inc., New York, 1992).
I. V. BASISTIY, V. YU. BAZHENOV, M. S. SOSKIN and M. V. VASNETSOV, Opt. Commun. 103 (1993) 422.
K. DHOLAKIA, N. B. SIMPSON, M. J. PADGETT and L. ALLEN, Phys. Rev. A 54 (1996) R3742.
G. I. STEGEMAN, D. J. HAGAN and L. TORNER, Opt. Quantum Electron. 28 (1996) 1691.
YU. N. KARAMZIN and A. P. SUKHORUKOV, Sov. Phys. JETP 41 (1976) 414.
W. E. TORRUELLAS, Z. WANG, D. J. HAGAN, E. W. VANSTRYLAND, G. I. STEGEMAN, L. TORNER and C. R. MENYUK, Phys. Rev. Lett. 74 (1995) 5036.
R. SCHIEK, Y. BAEK and G. I. STEGEMAN, Phys. Rev. E 53 (1996) 1138.
L. TORNER and D. V. PETROV, Electron. Lett. 33 (1997) 608.
J. P. TORRES, J. M. SOTO-CRESPO, L. TORNER and D. V. PETROV, Opt. Lett., submitted.
V. I. KRUGLOV and R. A. VLASOV, Phys. Lett. A 111 (1985) 401.
N. N. ROSANOV, in Progress in Optics, Vol. XXXV, edited by E. Wolf (Elsevier, Amsterdam, 1996).
V. TIKHONENKO, J. CHRISTOU and B. LUTHER-DAVIES, J. Opt. Soc. Am. B 12 (1995) 2046; Phys. Rev. Lett. 76 (1996) 2698.
A. A. KANASHOV and A. M. RUBENCHIK, Physica D 4 (1981) 122.
S. TRILLO and P. FERRO, Opt. Lett. 20 (1995) 438.
R. A. FUERST, D.-M. BABOIU, B. LAWRENCE, W. E. TORRUELLAS, G. I. STEGEMAN, S. TRILLO and S. WABNITZ, Phys. Rev. Lett. 78 (1997) 2756.
L. TORNER and E. M. WRIGHT, J. Opt. Soc. Am. B 13 (1996) 864.
N. R. HECKENBERG, R. MCDUFF, C. D. SMITH and A. G. WHITE, Opt. Lett. 17 (1992) 221.
M. W. BEIJERSBERGEN, L. ALLEN, H. E. L. O. VAN DER VEEN and J. P. WOERDMAN, Opt. Commun. 96 (1993) 123.
L. TORNER, D. MIHALACHE, D. MAZILU, E. M. WRIGHT, W. E. TORRUELLAS and G. I. STEGEMAN, Opt. Commun. 121 (1995) 149.
A. V. BURYAK, Y. S. KIVSHAR and V. V. STEBLINA, Phys. Rev. A 52 (1995) 1670.
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Petrov, D.V., Torner, L. Second-harmonic generation by intense beams containing phase dislocations:self-breaking into sets of solitons. Optical and Quantum Electronics 29, 1037–1046 (1997). https://doi.org/10.1023/A:1018502305736
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DOI: https://doi.org/10.1023/A:1018502305736