Quadratic solitons for negative effective second-harmonic diffraction as nonlocal solitons with periodic nonlocal response function

被引：34

作者：

Esbensen, B. K. ^{[1
]}

Bache, M. ^{[1
]}

Krolikowski, W. ^{[2
]}

Bang, O. ^{[1
]}

机构：

[1] Tech Univ Denmark, Dept Photon Engn, DTU Foton, DK-2800 Lyngby, Denmark

[2] Australian Natl Univ, Res Sch Phys & Engn, Laser Phys Ctr, Canberra, ACT 0200, Australia

来源：

PHYSICAL REVIEW A | 2012年 / 86卷 / 02期

关键词：

SPATIAL SOLITONS; MODULATIONAL INSTABILITY; BEAMS; PROPAGATION; COMPRESSION; DYNAMICS; PHYSICS;

D O I：

10.1103/PhysRevA.86.023849

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We employ the formal analogy between quadratic and nonlocal solitons to investigate analytically the properties of solitons and soliton bound states in second-harmonic generation in the regime of negative diffraction or dispersion of the second harmonic. We show that in the nonlocal description this regime corresponds to a periodic nonlocal response function. We then use the strongly nonlocal approximation to find analytical solutions of the families of single bright solitons and their bound states in terms of Mathieu functions.

引用

页数：10

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