Transverse dynamics of a laser beam in a nonlinear optical system with two-dimensional feedback: interpretation of simulation results

1997 ◽  
Author(s):  
Alexey I. Arshinov ◽  
Renat R. Mudarisov ◽  
Boris N. Poizner
Keyword(s):  
Laser Beam ◽  
Optical System ◽  
Nonlinear Optical ◽  
Two Dimensional ◽  
Simulation Results

Erratum: Transition to space-time chaos in a nonlinear optical system with two-dimensional feedback

1996 ◽  
Vol 54 (1) ◽  
pp. 982-982 ◽  
Author(s):  
P. L. Ramazza ◽  
S. Residori ◽  
E. Pampaloni ◽  
A. Larichev
Keyword(s):  
Optical System ◽  
Nonlinear Optical ◽  
Space Time ◽  
Two Dimensional

Stochastic resonance on two-dimensional arrays of bistable oscillators in a nonlinear optical system

2003 ◽  
Vol 67 (5) ◽  
Author(s):  
J. P. Sharpe ◽  
N. Sungar ◽  
M. Swaney ◽  
K. Carrigan ◽  
S. Wheeler
Keyword(s):  
Stochastic Resonance ◽  
Optical System ◽  
Nonlinear Optical ◽  
Two Dimensional

scholarly journals Localized States in Bi-Pattern Systems

2009 ◽  
Vol 2009 ◽  
pp. 1-9 ◽  
Author(s):  
U. Bortolozzo ◽  
M. G. Clerc ◽  
F. Haudin ◽  
R. G. Rojas ◽  
S. Residori
Keyword(s):  
Optical System ◽  
Nonlinear Optical ◽  
Amplitude Equation ◽  
Localized States ◽  
Two Dimensional ◽  
One Dimensional ◽  
Self Organized ◽  
Localized Structures ◽  
Spatially Periodic ◽  
Different Shapes

We present a unifying description of localized states observed in systems with coexistence of two spatially periodic states, calledbi-pattern systems. Localized states are pinned over an underlying lattice that is either a self-organized pattern spontaneously generated by the system itself, or a periodic grid created by a spatial forcing. We show that localized states are generic and require only the coexistence of two spatially periodic states. Experimentally, these states have been observed in a nonlinear optical system. At the onset of the spatial bifurcation, a forced one-dimensional amplitude equation is derived for the critical modes, which accounts for the appearance of localized states. By numerical simulations, we show that localized structures persist on two-dimensional systems and exhibit different shapes depending on the symmetry of the supporting patterns.

scholarly journals Two-Dimensional Front Dynamics and Spatial Solitons in a Nonlinear Optical System

2007 ◽  
Vol 99 (15) ◽  
Author(s):  
M. Pesch ◽  
W. Lange ◽  
D. Gomila ◽  
T. Ackemann ◽  
W. J. Firth ◽  
...  
Keyword(s):  
Optical System ◽  
Nonlinear Optical ◽  
Two Dimensional ◽  
Spatial Solitons ◽  
Front Dynamics

Research on Two-Dimensional Scanning Characteristics of MEMS Resonant Mirror

2012 ◽  
Vol 503 ◽  
pp. 24-28
Author(s):  
Chi Zhang ◽  
Yun Han Chen ◽  
Zheng You ◽  
Hu Huang
Keyword(s):  
Laser Beam ◽  
Simulation Method ◽  
Vibration Modes ◽  
Two Dimensional ◽  
Space Applications ◽  
Scanning Time ◽  
Simulation Results

A two-dimensional MEMS resonant mirror is presented in this paper, which is capable of scanning a laser beam two-dimensionally in the both vibration modes. Based on the MEMS resonant mirror, a simulation method is presented to study the two-dimensional scanning characteristics. The scanning time of a frame is obtained and the impacts on the scanning time of a frame by the scanning parameters are simulated and analyzed. The simulation results have a great significance for the two-dimensional MEMS resonant mirror in space applications.

Transition to space-time chaos in a nonlinear optical system with two-dimensional feedback

1996 ◽  
Vol 53 (1) ◽  
pp. 400-407 ◽  
Author(s):  
P. L. Ramazza ◽  
S. Residori ◽  
E. Pampaloni ◽  
A. V. Larichev
Keyword(s):  
Optical System ◽  
Nonlinear Optical ◽  
Space Time ◽  
Two Dimensional

scholarly journals Pulsating and Rotating Spirals in a Delayed Feedback Diffractive Nonlinear Optical System

2021 ◽  
Vol 31 (01) ◽  
pp. 2130002
Author(s):  
Stanislav Budzinskiy ◽  
Alexander Razgulin
Keyword(s):  
Diffusion Equation ◽  
Optical System ◽  
Feedback Loop ◽  
Nonlinear Optical ◽  
Spiral Waves ◽  
Two Dimensional ◽  
One Dimensional ◽  
Existence And Stability ◽  
The One ◽  
Scalar Diffusion

We study spiral waves in a mathematical model of a nonlinear optical system with a feedback loop. Starting from a delayed scalar diffusion equation in a thin annulus with oblique derivative boundary conditions, we shrink the annulus and derive the limiting equation on a circle. Based on the explicitly constructed normal form of the Hopf bifurcation for the one-dimensional delayed scalar diffusion equation, we make predictions about the existence and stability of two-dimensional spirals that we verify in direct numerical simulations, observing pulsating and rotating spiral waves.

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