GINZBURG-LANDAU EQUATION - A NONLINEAR MODEL FOR THE RADIATION-FIELD OF A FREE-ELECTRON LASER

被引:21
作者
CAI, SY
BHATTACHARJEE, A
机构
[1] Department of Applied Physics, Columbia University, New York
来源
PHYSICAL REVIEW A | 1991年 / 43卷 / 12期
关键词
D O I
10.1103/PhysRevA.43.6934
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
It is shown that the nonlinear dynamics of the radiation field in a free-electron laser can be modeled by the Ginzburg-Landau equation. The refractive index of the electron beam in the nonlinear regime and the saturation intensity of the radiation field are obtained from WKB theory. Although the Ginzburg-Landau equation does not permit soliton solutions, it is shown that certain types of solitary-wave solutions have a strong resemblance to spikes observed in simulations and experiments.
引用
收藏
页码:6934 / 6938
页数:5
相关论文
共 26 条
[1]   FORMATIONS OF SPATIAL PATTERNS AND HOLES IN THE GENERALIZED GINZBURG-LANDAU EQUATION [J].
BEKKI, N ;
NOZAKI, K .
PHYSICS LETTERS A, 1985, 110 (03) :133-135
[2]   THEORY AND OBSERVATION OF OPTICAL GUIDING IN A FREE-ELECTRON LASER [J].
BHATTACHARJEE, A ;
CAI, SY ;
CHANG, SP ;
DODD, JW ;
FRUCHTMAN, A ;
MARSHALL, TC .
PHYSICAL REVIEW A, 1989, 40 (09) :5081-5091
[3]  
BHATTACHARJEE A, 1989, 1989 P INT C FREE EL, P35
[4]   COLLECTIVE INSTABILITIES AND HIGH-GAIN REGIME IN A FREE-ELECTRON LASER [J].
BONIFACIO, R ;
PELLEGRINI, C ;
NARDUCCI, LM .
OPTICS COMMUNICATIONS, 1984, 50 (06) :373-378
[5]   COLLECTIVE VARIABLE DESCRIPTION OF A FREE-ELECTRON LASER [J].
BONIFACIO, R ;
CASAGRANDE, F ;
SOUZA, LD .
PHYSICAL REVIEW A, 1986, 33 (04) :2836-2839
[6]   EFFECTS OF OPTICAL GUIDING ON SIDEBAND INSTABILITIES IN A FREE-ELECTRON LASER [J].
CAI, SY ;
BHATTACHARJEE, A ;
CHANG, SP ;
DODD, JW ;
MARSHALL, TC .
PHYSICAL REVIEW A, 1989, 40 (06) :3127-3146
[7]   OPTICAL GUIDING IN A RAMAN FREE-ELECTRON LASER [J].
CAI, SY ;
BHATTACHARJEE, A ;
MARSHALL, TC .
IEEE JOURNAL OF QUANTUM ELECTRONICS, 1987, 23 (09) :1651-1656
[8]  
CAO J, 1989, B AM PHYS SOC, V34, P1983
[9]   PAINLEVE EXPANSIONS FOR NONINTEGRABLE EVOLUTION-EQUATIONS [J].
CARIELLO, F ;
TABOR, M .
PHYSICA D, 1989, 39 (01) :77-94
[10]  
Colson W. B., 1980, PHYSICS QUANTUM ELEC, V7, P377