Modulational instability in bulk dispersive quadratically nonlinear media

被引:11
作者
Musslimani, ZH [1 ]
Malomed, BA
机构
[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel
[2] Tel Aviv Univ, Fac Engn, Dept Interdisciplinary Studies, IL-69978 Tel Aviv, Israel
关键词
second-harmonic generation; resonant three-wave interactions;
D O I
10.1016/S0167-2789(98)00123-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We analyze stability of continuous wave (cw) solutions to the second-harmonic-generation equations in a multidimensional dispersive medium, and demonstrate that they are always unstable. We also consider the modulational stability in a more general three-wave system, and demonstrate that, at least in some cases, its multidimensional cw solutions may be stable. Copyright (C) 1998 Elsevier Science B.V.
引用
收藏
页码:235 / 243
页数:9
相关论文
共 24 条
[1]  
Agrawal G. P., 2019, Nonlinear fiber optics, V6th
[2]   ALL-OPTICAL SWITCHING DEVICES BASED ON LARGE NONLINEAR PHASE-SHIFTS FROM 2ND HARMONIC-GENERATION [J].
ASSANTO, G ;
STEGEMAN, G ;
SHEIKBAHAE, M ;
VANSTRYLAND, E .
APPLIED PHYSICS LETTERS, 1993, 62 (12) :1323-1325
[3]  
BERGE L, 1995, PHYS REV A, V52, P28
[4]   SOLITONS DUE TO 2ND-HARMONIC GENERATION [J].
BURYAK, AV ;
KIVSHAR, YS .
PHYSICS LETTERS A, 1995, 197 (5-6) :407-412
[5]   SPATIAL OPTICAL SOLITONS GOVERNED BY QUADRATIC NONLINEARITY [J].
BURYAK, AV ;
KIVSHAR, YS .
OPTICS LETTERS, 1994, 19 (20) :1612-1614
[6]   SELF-TRAPPING OF LIGHT-BEAMS AND PARAMETRIC SOLITONS IN DIFFRACTIVE QUADRATIC MEDIA [J].
BURYAK, AV ;
KIVSHAR, YS ;
STEBLINA, VV .
PHYSICAL REVIEW A, 1995, 52 (02) :1670-1674
[7]   SELF-FOCUSING AND SELF-DEFOCUSING BY CASCADED 2ND-ORDER EFFECTS IN KTP [J].
DESALVO, R ;
HAGAN, DJ ;
SHEIKBAHAE, M ;
STEGEMAN, G ;
VANSTRYLAND, EW ;
VANHERZEELE, H .
OPTICS LETTERS, 1992, 17 (01) :28-30
[8]   Origin of the persistent oscillations of solitary waves in nonlinear quadratic media [J].
Etrich, C ;
Peschel, U ;
Lederer, F ;
Malomed, BA ;
Kivshar, YS .
PHYSICAL REVIEW E, 1996, 54 (04) :4321-4324
[9]   MULTIDIMENSIONAL SOLITONS IN QUADRATIC NONLINEAR MEDIA [J].
HAYATA, K ;
KOSHIBA, M .
PHYSICAL REVIEW LETTERS, 1993, 71 (20) :3275-3278
[10]   Simultaneous solitary-wave solutions in a nonlinear parametric waveguide [J].
He, H ;
Werner, MJ ;
Drummond, PD .
PHYSICAL REVIEW E, 1996, 54 (01) :896-911