Gap solitons in quadratically nonlinear gratings: Beyond the cascading limit

被引:5
|
作者
Iizuka, T [1 ]
de Sterke, CM
机构
[1] Australian Natl Univ, Res Sch Phys Sci & Engn, Ctr Opt Sci, Canberra, ACT 0200, Australia
[2] Ehime Univ, Fac Sci, Dept Phys, Matsuyama, Ehime 7908577, Japan
[3] Univ Sydney, Sch Phys, Australian Photon Cooperat Res Ctr, Sydney, NSW 2006, Australia
来源
PHYSICAL REVIEW E | 2000年 / 62卷 / 03期
关键词
D O I
10.1103/PhysRevE.62.4246
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
We consider pulse propagation in quadratically nonlinear gratings. Assuming that the phase mismatch between the fundamental and the second-harmonic frequencies delta k is large, we present a perturbation method in delta k(-1). In the well known cascading limit, terms to delta k(-1) are kept; here we keep terms to delta k(-2), which lends to another type of coupled mode equations. Numerical calculation of the full equations support our theoretical results.
引用
收藏
页码:4246 / 4250
页数:5
相关论文
共 50 条
  • [1] Gap solitons in nonlinear spatiotemporal photonic crystals and gratings
    Biancalana, Fabio
    Amann, Andreas
    O'Reilly, Eoin P.
    [J]. PHOTONIC CRYSTAL MATERIALS AND DEVICES VIII, 2008, 6989
  • [2] GAP SOLITONS DUE TO CASCADING
    KIVSHAR, YS
    [J]. PHYSICAL REVIEW E, 1995, 51 (02): : 1613 - 1615
  • [3] Mobility of discrete solitons in quadratically nonlinear media
    Susanto, H.
    Kevrekidis, P. G.
    Carretero-Gonzalez, R.
    Malomed, B. A.
    Frantzeskakis, D. J.
    [J]. PHYSICAL REVIEW LETTERS, 2007, 99 (21)
  • [4] Midband solitons in an array of quadratically nonlinear cavities
    Egorov, Oleg
    Lederer, Falk
    [J]. OPTICS EXPRESS, 2008, 16 (09): : 6050 - 6055
  • [5] LAUNCHING OF GAP SOLITONS IN NONUNIFORM GRATINGS
    DESTERKE, CM
    SIPE, JE
    [J]. OPTICS LETTERS, 1993, 18 (04) : 269 - 271
  • [6] Semidiscrete composite solitons in arrays of quadratically nonlinear waveguides
    Panoiu, NC
    Osgood, RM
    Malomed, BA
    [J]. OPTICS LETTERS, 2006, 31 (08) : 1097 - 1099
  • [7] Chirped gap solitons in fiber Bragg gratings with polynomial law of nonlinear refractive index
    Al-Ghafri, Khalil S.
    Sankar, Mani
    Krishnan, Edamana V.
    Khan, Salam
    Biswas, Anjan
    [J]. JOURNAL OF THE EUROPEAN OPTICAL SOCIETY-RAPID PUBLICATIONS, 2023, 19 (01)
  • [8] Gap solitons in Bragg gratings with a harmonic superlattice
    Yagasaki, K
    Merhasin, IM
    Malomed, BA
    Wagenknecht, T
    Champneys, AR
    [J]. EUROPHYSICS LETTERS, 2006, 74 (06): : 1006 - 1012
  • [9] Dynamics of gap solitons in random fiber gratings
    CUDOS, School of Physics, University of Sydney, A28, NSW, Australia
    不详
    [J]. Opt.InfoBase Conf. Papers, 2008,
  • [10] Gap solitons in Bragg gratings with dispersive reflectivity
    Atai, J
    Malomed, BA
    [J]. PHYSICS LETTERS A, 2005, 342 (5-6) : 404 - 412