中国物理B ›› 2003, Vol. 12 ›› Issue (2): 184-188.doi: 10.1088/1009-1963/12/2/312

• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇    下一篇

Patterns in passive optical systems with boundary effects

李春萍, 沈柯   

  1. Department of Physics, Changchun University of Science and Technology, Changchun 130022, China
  • 收稿日期:2002-07-09 修回日期:2002-10-14 出版日期:2005-03-16 发布日期:2005-03-16

Patterns in passive optical systems with boundary effects

Li Chun-Ping (李春萍), Shen Ke (沈柯)   

  1. Department of Physics, Changchun University of Science and Technology, Changchun 130022, China
  • Received:2002-07-09 Revised:2002-10-14 Online:2005-03-16 Published:2005-03-16

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摘要： Pattern formation is closely related to system boundary conditions in nonlinear dynamic systems, apart from the system control parameters. To avoid complexity, system boundary conditions are usually considered to be infinite or periodic, and the initial conditions spatially homogeneous. But it is not always the case in real situations, or sometimes periodic boundary conditions are not exact. To show the important and interesting boundary effects in real pattern formation, we suggest a simple universal boundary condition in a typical optical pattern formation system. Numerical simulations of the passive optical system show that pattern characteristics such as distribution symmetry, peak number, structure strength, evolution course and stability are all greatly influenced by the system boundary conditions.

Abstract: Pattern formation is closely related to system boundary conditions in nonlinear dynamic systems, apart from the system control parameters. To avoid complexity, system boundary conditions are usually considered to be infinite or periodic, and the initial conditions spatially homogeneous. But it is not always the case in real situations, or sometimes periodic boundary conditions are not exact. To show the important and interesting boundary effects in real pattern formation, we suggest a simple universal boundary condition in a typical optical pattern formation system. Numerical simulations of the passive optical system show that pattern characteristics such as distribution symmetry, peak number, structure strength, evolution course and stability are all greatly influenced by the system boundary conditions.

Key words: boundary effects, symmetry, stability

中图分类号:  (Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics)

  • 42.65.Sf
02.60.Cb (Numerical simulation; solution of equations)