Theory of modulational instability in Bragg gratings with quadratic nonlinearity

被引：29

作者：

He, H ^{[2
]}

Arraf, A

de Sterke, CM

Drummond, PD

Malomed, BA

机构：

[1] Australian Photon Cooperat Res Ctr, Natl Innovat Ctr 101, Eveleigh, NSW 1430, Australia

[2] Univ Sydney, Sch Phys, Sydney, NSW 2006, Australia

[3] Univ Queensland, Dept Phys, St Lucia, Qld 4072, Australia

[4] Tel Aviv Univ, Fac Engn, Dept Interdisciplinary Studies, IL-69978 Tel Aviv, Israel

来源：

PHYSICAL REVIEW E | 1999年 / 59卷 / 05期

关键词：

D O I：

10.1103/PhysRevE.59.6064

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

Modulational instability in optical Bragg gratings with a quadratic nonlinearity is studied. The electric field in such structures consists of forward and backward propagating components at the fundamental frequency and its second harmonic. Analytic continuous wave (CW) solutions are obtained, and the intricate complexity of their stability, due to the large number of equations and number of free parameters, is revealed. The stability boundaries are rich in structures and often cannot be described by a simple relationship. In most cases, the CW solutions are unstable. However, stable regions are found in the nonlinear Schrodinger equation limit, and also when the grating strength for the second harmonic is stronger than that of the first harmonic. Stable CW solutions usually require a low intensity. The analysis is confirmed by directly simulating the governing equations. The stable regions found have possible applications in second-harmonic generation and dark solitons, while the unstable regions maybe useful in the generation of ultrafast pulse trains at relatively low intensities. [S1063-651X(99)03005-6].

引用

页码：6064 / 6078

页数：15

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