Self-focusing on bounded domains

被引：42

作者：

Fibich, G ^{[1
]}

Merle, F

机构：

[1] Tel Aviv Univ, Sch Math Sci, IL-69978 Tel Aviv, Israel

[2] Inst Univ France, F-95302 Pontoise, Cergy Pontoise, France

[3] Univ Cergy Pontoise, F-95302 Pontoise, Cergy Pontoise, France

来源：

PHYSICA D | 2001年 / 155卷 / 1-2期

关键词：

nonlinear Schrodinger equation; singularity formation; waveguide; stability; collapse; blowup; hollow fiber; critical power;

D O I：

10.1016/S0167-2789(01)00249-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The critical nonlinear Schrodinger equation (NLS) on bounded domains models the propagation of cw laser beams in hollow-core fibers. Unlike the NLS on unbounded domains which models propagation in bulk media, the ground-state waveguide solutions are stable and the condition of critical power for singularity formation is generically sharp. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：132 / 158

页数：27

共 32 条

[21] Optical pulse compression: bulk media versus hollow waveguides [J].

Milosevic, N ;

Tempea, G ;

Brabec, T .

OPTICS LETTERS, 2000, 25 (09) :672-674

[22] A novel high energy pulse compression system: Generation of multigigawatt sub-5-fs pulses [J].

Nisoli, M ;

Stagira, S ;

DeSilvestri, S ;

Svelto, O ;

Sartania, S ;

Cheng, Z ;

Lenzner, M ;

Spielmann, C ;

Krausz, F .

APPLIED PHYSICS B-LASERS AND OPTICS, 1997, 65 (02) :189-196

[23] Compression of high-energy laser pulses below 5 fs [J].

Nisoli, M ;

DeSilvestri, S ;

Svelto, O ;

Szipocs, R ;

Ferencz, K ;

Spielmann, C ;

Sartania, S ;

Krausz, F .

OPTICS LETTERS, 1997, 22 (08) :522-524

[24]

NISOLI M, 1996, APPL PHYS LETT, V68, P1795

[25]

Polya G., 1951, AM-27)

[26] ON THE BOUND-STATES OF THE NONLINEAR SCHRODINGER-EQUATION WITH A LINEAR POTENTIAL [J].

ROSE, HA ;

WEINSTEIN, MI .

PHYSICA D, 1988, 30 (1-2) :207-218

[27] INSTABILITY OF NONLINEAR BOUND-STATES [J].

SHATAH, J ;

STRAUSS, W .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1985, 100 (02) :173-190

[28]

Sulem C., 1999, The Nonlinear Schrodinger Equation

[29] Nonlinear source for the generation of high-energy few-cycle optical pulses [J].

Tempea, G ;

Brabec, T .

OPTICS LETTERS, 1998, 23 (16) :1286-1288

[30] Theory of self-focusing in a hollow waveguide [J].

Tempea, G ;

Brabec, T .

OPTICS LETTERS, 1998, 23 (10) :762-764

← 1 2 3 4 →