Nonlinear Pattern Formation in Active Optical Systems: Shocks, Domains of Tilted Waves, and Cross-Roll Patterns

1997 ◽  
Vol 79 (14) ◽  
pp. 2658-2661 ◽  
Author(s):  
K. Staliūnas ◽  
G. Šlekys ◽  
C. O. Weiss
Keyword(s):  
Pattern Formation ◽  
Optical Systems ◽  
Nonlinear Pattern

scholarly journals Nonlinear Pattern Formation of Faraday Waves

1997 ◽  
Vol 78 (21) ◽  
pp. 4043-4046 ◽  
Author(s):  
Doug Binks ◽  
Willem van de Water
Keyword(s):  
Pattern Formation ◽  
Faraday Waves ◽  
Nonlinear Pattern

scholarly journals Phase-bistable pattern formation in oscillatory systems via rocking: application to nonlinear optical systems

2014 ◽  
Vol 372 (2027) ◽  
pp. 20140008 ◽  
Author(s):  
Germán J. de Valcárcel ◽  
Manuel Martínez-Quesada ◽  
Kestutis Staliunas
Keyword(s):  
Pattern Formation ◽  
Nonlinear Optical ◽  
Good Alternative ◽  
Optical Systems ◽  
Oscillatory Systems ◽  
Resonant Forcing ◽  
Level Laser ◽  
Spatially Extended ◽  
Free Running ◽  
Broad Area Lasers

We present a review, together with new results, of a universal forcing of oscillatory systems, termed ‘rocking’, which leads to the emergence of a phase bistability and to the kind of pattern formation associated with it, characterized by the presence of phase domains, phase spatial solitons and phase-bistable extended patterns. The effects of rocking are thus similar to those observed in the classic 2 : 1 resonance (the parametric resonance) of spatially extended systems of oscillators, which occurs under a spatially uniform, time-periodic forcing at twice the oscillations' frequency. The rocking, however, has a frequency close to that of the oscillations (it is a 1 : 1 resonant forcing) and hence is a good alternative to the parametric forcing when the latter is inefficient (e.g. in optics). The key ingredient is that the rocking amplitude is modulated either in time or in space, such that its sign alternates (exhibits π -phase jumps). We present new results concerning a paradigmatic nonlinear optical system (the two-level laser) and show that phase domains and dark-ring (phase) solitons replace the ubiquitous vortices that characterize the emission of free-running, broad area lasers.

Radial Hele-Shaw flow with suction: Fully nonlinear pattern formation

2014 ◽  
Vol 89 (5) ◽  
Author(s):  
Ching-Yao Chen ◽  
Yu-Sheng Huang ◽  
José A. Miranda
Keyword(s):  
Pattern Formation ◽  
Fully Nonlinear ◽  
Nonlinear Pattern
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