TY - JOUR
T1 - Three-dimensional simulations of degenerate counterpropagating beam instabilities in a nonlinear medium
AU - Chang, R.
AU - Firth, W. J.
AU - Indik, R.
AU - Moloney, J. V.
AU - Wright, E. M.
N1 - Funding Information:
The authors wish to thank the Arizona Center for Mathematical Sciences (ACMS) for support. ACMS is sponsored by AFOSR contract FQ8671-9000589 (AFOSR-90-0021 ) with the University Research Initiative Program at the University of Arizona. The work of W.J. Firth is supported in part by SERC Grant no. GR/F49811 and in part under a Twinning contract of the European Community. The authors would like to thank Dr. David R. Heatley for several useful discussions.
PY - 1992/3/15
Y1 - 1992/3/15
N2 - We report our findings from a detailed series of three-dimensional simulations of degenerate counterpropagating beam instabilities in a nonlinear Kerr medium. These simulations show the formation of far field intensity patterns with both radial and hexagonal symmetries in agreement with recent experiments. Moreover, we suggest that the ring patterns which are characteristic of degenerate conical emission are transient phenomena which are always replaced by hexagons for long enough times, at least close to the plane-wave threshold. For misaligned input beams we observe the formation of a stabel point defect, a penta-hepta pair, in the hexagonal pattern.
AB - We report our findings from a detailed series of three-dimensional simulations of degenerate counterpropagating beam instabilities in a nonlinear Kerr medium. These simulations show the formation of far field intensity patterns with both radial and hexagonal symmetries in agreement with recent experiments. Moreover, we suggest that the ring patterns which are characteristic of degenerate conical emission are transient phenomena which are always replaced by hexagons for long enough times, at least close to the plane-wave threshold. For misaligned input beams we observe the formation of a stabel point defect, a penta-hepta pair, in the hexagonal pattern.
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U2 - 10.1016/0030-4018(92)90506-M
DO - 10.1016/0030-4018(92)90506-M
M3 - Article
AN - SCOPUS:0026832109
VL - 88
SP - 167
EP - 172
JO - Optics Communications
JF - Optics Communications
SN - 0030-4018
IS - 2-3
ER -