Diffractive patterns in a nonlinear optical two-dimensional feedback system with field rotation

Abstract Nonlinear optical systems using either a Kerr slice or liquid crystal light valve and having field rotation in the 2D optical feedback loop are analyzed. A Neumann series approach is used to study pattern formation. We show that when there is strong diffraction in the optical feedback loop polygon patterns (‘Akhseals’) appear. Interactions between Akhseals occur in the form of Winner Takes All (WTA) dynamics. Results of the numerical simulations are presented

[1]  Gian-Luca Oppo,et al.  Instabilities and spatial complexity in a laser , 1990 .

[2]  S Wabnitz,et al.  Hexagonally patterned beam filamentation in a thin liquid-crystal film with a single feedback mirror. , 1993, Optics letters.

[3]  Mikhail A. Vorontsov.  Problems of large neurodynamics system modeling: optical synergetics and neural networks , 1991, Other Conferences.

[4]  F. T. Arecchi,et al.  Space-time complexity in nonlinear optics , 1991 .

[5]  G. Giusfredi,et al.  Optical instabilities in sodium vapor , 1988 .

[6]  H. Adachihara,et al.  Two-dimensional nonlinear-interferometer pattern analysis and decay of spirals , 1993 .

[7]  William J. Firth,et al.  Spatial instabilities in a Kerr medium with single feedback mirror , 1990 .

[8]  Neal B. Abraham,et al.  Overview of transverse effects in nonlinear-optical systems , 1990 .

[9]  W. Firth,et al.  Hexagonal spatial patterns for a Kerr slice with a feedback mirror. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[10]  Yaochun Shen.  Principles of nonlinear optics , 1984 .

[11]  K. Ikeda,et al.  Optical Turbulence: Chaotic Behavior of Transmitted Light from a Ring Cavity , 1980 .

[12]  Mikhail A. Vorontsov,et al.  LETTERS TO THE EDITOR: Dynamics of nonlinear rotating light waves: hysteresis and interaction of wave structures , 1990 .

[13]  G. Sell,et al.  The Hopf Bifurcation and Its Applications , 1976 .

[14]  G. Grynberg,et al.  Spatial pattern formation for counterpropagating beams in a Kerr medium: a simple model , 1992 .

[15]  John E. Bjorkholm,et al.  Optical bistability based on self-focusing , 1981 .

[16]  M. Cross,et al.  Pattern formation outside of equilibrium , 1993 .

[17]  Mikhail A. Vorontsov,et al.  Controlling transverse-wave interactions in nonlinear optics - generation and interaction of spatiotemporal structures , 1992 .

[18]  Anderson,et al.  Controlled competitive dynamics in a photorefractive ring oscillator: "Winner-takes-all" and the "voting-paradox" dynamics. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[19]  Adaptive Phase Distortion Suppression in a Nonlinear System with Feedback Mirror , 1993 .

[20]  Ciliberto,et al.  Defects in roll-hexagon competition. , 1990, Physical review letters.

[21]  Firth,et al.  Pattern formation and competition in nonlinear optical systems with two-dimensional feedback. , 1994, Physical review. A, Atomic, molecular, and optical physics.

[22]  Yoshiki Kuramoto,et al.  Chemical Oscillations, Waves, and Turbulence , 1984, Springer Series in Synergetics.