HEXAGONAL PATTERNS IN OPTICAL BISTABILITY

被引:85
作者
FIRTH, WJ [1 ]
SCROGGIE, AJ [1 ]
MCDONALD, GS [1 ]
LUGIATO, LA [1 ]
机构
[1] UNIV MILAN, DIPARTIMENTO FIS, I-20122 MILAN, ITALY
来源
PHYSICAL REVIEW A | 1992年 / 46卷 / 07期
关键词
D O I
10.1103/PhysRevA.46.R3609
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The mean-field model of optical bistability in a ring cavity is extended to include diffraction in two transverse dimensions. Nonlinear analysis in the neighborhood of the instability of the homogeneous solution indicates the formation of stable hexagonal patterns, and this is confirmed by numerical simulation, with reasonable quantitative agreement. Simulations with higher excitation show defect structures.
引用
收藏
页码:R3609 / R3612
页数:4
相关论文
共 16 条
[1]   OVERVIEW OF TRANSVERSE EFFECTS IN NONLINEAR-OPTICAL SYSTEMS [J].
ABRAHAM, NB ;
FIRTH, WJ .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 1990, 7 (06) :951-962
[2]   3-DIMENSIONAL SIMULATIONS OF DEGENERATE COUNTERPROPAGATING BEAM INSTABILITIES IN A NONLINEAR MEDIUM [J].
CHANG, R ;
FIRTH, WJ ;
INDIK, R ;
MOLONEY, JV ;
WRIGHT, EM .
OPTICS COMMUNICATIONS, 1992, 88 (2-3) :167-172
[3]   SPATIAL PATTERN-FORMATION FOR COUNTERPROPAGATING BEAMS IN A KERR MEDIUM - A SIMPLE-MODEL [J].
COURTOIS, JY ;
GRYNBERG, G .
OPTICS COMMUNICATIONS, 1992, 87 (04) :186-192
[4]   SPONTANEOUS HEXAGON FORMATION IN A NONLINEAR OPTICAL MEDIUM WITH FEEDBACK MIRROR [J].
DALESSANDRO, G ;
FIRTH, WJ .
PHYSICAL REVIEW LETTERS, 1991, 66 (20) :2597-2600
[5]   DYNAMICS OF SPIRAL WAVES IN A SPATIALLY INHOMOGENEOUS HOPF-BIFURCATION [J].
GIL, L ;
EMILSSON, K ;
OPPO, GL .
PHYSICAL REVIEW A, 1992, 45 (02) :R567-R570
[6]  
Gourlay A. R., 1970, Journal of the Institute of Mathematics and Its Applications, V6, P375
[7]  
Gourlay A.R., 1971, IMA J APPL MATH, V7, P216, DOI [10.1093/imamat/7.2.216, DOI 10.1093/IMAMAT/7.2.216]
[8]   MIRRORLESS 4-WAVE MIXING OSCILLATION IN ATOMIC VAPORS [J].
GRYNBERG, G .
OPTICS COMMUNICATIONS, 1988, 66 (5-6) :321-324
[9]   THE ROLE OF DIFFRACTION IN OPTICAL BISTABILITY WITH THE NONLINEAR FABRY-PEROT - A POLE ANALYSIS [J].
HAELTERMAN, M .
OPTICS COMMUNICATIONS, 1990, 75 (02) :165-167
[10]   TRANSVERSE EFFECTS IN OPTICAL BISTABILITY WITH THE NONLINEAR FABRY-PEROT ETALON - A NEW THEORETICAL APPROACH [J].
HAELTERMAN, M ;
TOLLEY, MD ;
VITRANT, G .
JOURNAL OF APPLIED PHYSICS, 1990, 67 (06) :2725-2730