χ(2) solitary waves in graded-index slab waveguides

被引:1
作者
Costantini, B [1 ]
Capobianco, AD [1 ]
Modotto, D [1 ]
Nalesso, GF [1 ]
Someda, CG [1 ]
机构
[1] Univ Padua, Dipartimento Elettron & Informat, Ist Nazl Fis Mat, I-35131 Padua, Italy
来源
JAPANESE JOURNAL OF APPLIED PHYSICS PART 1-REGULAR PAPERS SHORT NOTES & REVIEW PAPERS | 1998年 / 37卷 / 6B期
关键词
chi(2) nonlinearity; second harmonic generation; graded slab waveguide; variational method;
D O I
10.1143/JJAP.37.3647
中图分类号
O59 [应用物理学];
学科分类号
摘要
Analytical approximate stationary solutions of solitary waves in a graded-index slab waveguide, are found for Type I second harmonic generation (SHG) processes, ignoring the usual assumptions that the linear and nonlinear effects occur separately in each transverse direction. We compare our results with those available in the literature and show how our model can depict accurately the influence of the nonlinearity on the phase constant. The analytical results are also validated by the numerical integration of the governing equations.
引用
收藏
页码:3647 / 3650
页数:4
相关论文
共 10 条
[1]   Interactions between one-dimensional quadratic solitons [J].
Baek, Y ;
Schiek, R ;
Stegeman, GI ;
Baumann, I ;
Sohler, W .
OPTICS LETTERS, 1997, 22 (20) :1550-1552
[2]   Parametric spatial solitary waves due to type II second-harmonic generation [J].
Buryak, AV ;
Kivshar, YS ;
Trillo, S .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 1997, 14 (11) :3110-3118
[3]   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
[4]   Fast beam propagation method for the analysis of second-order nonlinear phenomena [J].
Capobianco, AD ;
Brillo, D ;
De Angelis, C ;
Nalesso, G .
IEEE PHOTONICS TECHNOLOGY LETTERS, 1998, 10 (04) :543-545
[5]   Role of walk-off in solitary-wave propagation in materials with quadratic nonlinearity [J].
Capobianco, AD ;
Costantini, B ;
DeAngelis, C ;
Palma, AL ;
Nalesso, GF .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 1997, 14 (10) :2602-2609
[6]   Collisional interactions of vectorial spatial solitary waves in type II frequency-doubling media [J].
Leo, G ;
Assanto, G .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 1997, 14 (11) :3151-3161
[7]   BLOW-UP IN NONLINEAR SCHROEDINGER EQUATIONS .1. A GENERAL-REVIEW [J].
RASMUSSEN, JJ ;
RYPDAL, K .
PHYSICA SCRIPTA, 1986, 33 (06) :481-497
[8]   One-dimensional spatial solitary waves due to cascaded second-order nonlinearities in planar waveguides [J].
Schiek, R ;
Baek, Y ;
Stegeman, GI .
PHYSICAL REVIEW E, 1996, 53 (01) :1138-1141
[9]   chi((2)) cascading phenomena and their applications to all-optical signal processing, mode-locking, pulse compression and solitons [J].
Stegeman, GI ;
Hagan, DJ ;
Torner, L .
OPTICAL AND QUANTUM ELECTRONICS, 1996, 28 (12) :1691-1740
[10]   OBSERVATION OF 2-DIMENSIONAL SPATIAL SOLITARY WAVES IN A QUADRATIC MEDIUM [J].
TORRUELLAS, WE ;
WANG, Z ;
HAGAN, DJ ;
VANSTRYLAND, EW ;
STEGEMAN, GI ;
TORNER, L ;
MENYUK, CR .
PHYSICAL REVIEW LETTERS, 1995, 74 (25) :5036-5039