Non-Hermitian control of optical turbulence in systems with fractional dispersion

We show an efficient mechanism to control optical turbulence in systems with different dispersion laws, including parabolic, sub-diffractive, hyper-diffractive or general fractional dispersion. The method is based on the modification of energy cascade through spatial scales leading turbulence: a non-Hermitian spatio-temporal periodic potential allows unidirectional coupling between modes excitation process. prove significant increase and reduction flow turbulent states, by either condensing towards small wave-numbers affecting transfer large wave-number. study complex Fractional Ginzburg–Landau equation, universal model for pattern formation wide range systems. enhancement indeed dependent imposed direction flow, controlled phase shift real imaginary parts temporal oscillation potential. • take advantage asymmetric properties potentials reduce cascade. are able periodically modulating space time. also favour system. have proven effect spatiotemporal dispersions. Including parabolic conical as special cases. done using Complex Ginzburg Landau equation.