Turbulence control by time-symmetry breaking

Salim B. Ivars; Muriel Botey; Ramon Herrero; Kestutis Staliunas

doi:10.1117/12.2620932

25 May 2022 Turbulence control by time-symmetry breaking

Salim B. Ivars, Muriel Botey, Ramon Herrero, Kestutis Staliunas

Proceedings Volume 12143, Nonlinear Optics and its Applications 2022; 1214304 (2022) https://doi.org/10.1117/12.2620932
Event: SPIE Photonics Europe, 2022, Strasbourg, France

Abstract

Asymmetries arising from time-symmetry breaking in non-Hermitian potentials are shown to be an effective mechanism to control turbulence in nonlinear systems. The scheme is based on the introduction of a spatiotemporal non-Hermitian potential to control the excitation cascade mechanism responsible for the turbulence. We show the proposal on the complex Ginzburg Landau equation, that covers the universal phenomenon of turbulence in a wide range of disciplines, in particular a fundamental model for laser-like systems. Energy effectively condensates by reducing the energy transfer between transverse modes to high harmonics. The study is performed in one and two-spatial dimensions plus time, both numerically and analytically. The analysis of the turbulent spectrum distributions and the level of condensation of energy into the lower order mode show a crucial dependency on the phase shift between the two quadratures of the complex modulation. The desired turbulence reduction is numerically found for phases close to the ones predicted from the theoretical analysis. Depending on the phase, we are able to either enhance or reduce the spatial instability by breaking the energy cascading symmetry through wave vectors. Therefore, we are able to tailor and control turbulence in the complex Ginzburg Laudau equation and expect these results to have applications in different fields; most straightforward in optics where a non-Hermitian potential may be achieved by manipulating the complex permittivity (representing gain and refractive index).

Conference Presentation

Citation Download Citation

Salim B. Ivars, Muriel Botey, Ramon Herrero, and Kestutis Staliunas "Turbulence control by time-symmetry breaking", Proc. SPIE 12143, Nonlinear Optics and its Applications 2022, 1214304 (25 May 2022); https://doi.org/10.1117/12.2620932

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