Universal approach for coarsening control on an example of an optically-addressed spatial light modulator

Abstract

Two approaches for the coarsening control in bistable systems are demonstrated using methods of numerical modelling on an example of a spatially-extended model describing an optically-addressed spatial light modulator subjected to optical feedback. The first method developed in Ref. [V. Semenov et al., Chaos 31, 121104 (2021)] implies varying system parameters such that the system under study evolves as the pitchfork or saddle-node normal forms. The second one leverages properties of noise whose intensity is used as an additional system parameter. Both deterministic and stochastic schemes allow to control the direction and speed of fronts separating spatial domains. The considered stochastic control represents a particular case of the noise-sustained front propagation in bistable systems and involves the properties of the optical system under study. In contrast, the deterministic control scheme represents a universal methodology for approaching the model equations to the pitchfork or saddle-node bifurcation normal forms. The interdisciplinary significance of the obtained results consists in developed approach for the control of propagating fronts in bistable spatially-extended systems of any nature exhibiting the coexistence of two steady states. Representing the function being responsible for the local dynamics in a polynomial form by using the Taylor-series expansion, one can derive the pitchfork or saddle-node bifurcation conditions in the similar way as in the current paper and then apply them to adjust the systems’s symmetry and, resultantly, the front propagation speed and direction.

The work is supported by the Russian Science Foundation (project no. 22-72-00038).

Speaker

Vladimir Semenov
Saratov State University
Russia

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