Target decoupling in coupled systems resistant to random perturbation

Abstract

To suppress unwanted crosstalks between nearby optical elements, the decoupling technique for integrated systems has been desired for the target control of light flows. Although cloaking methods have enabled complete decoupling of optical elements by manipulating electromagnetic waves microscopically, it is difficult to be applied rigorously to control each unit element in coupled systems due to severe restrictions on material parameters for cloaking. Here we develop the macroscopic approach to design crosstalk-free regions in coupled optical systems. By inversely designing the eigenstate which encompasses target elements, the stable decoupling of the elements from the coupled system is achieved, being completely independent from the random alteration of the decoupled region, and at the same time, allowing coherent and scattering-free wave transport with desired spatial profiles. We also demonstrate the decoupling in disordered systems, overcoming the transport blockade from Anderson localization. Our results provide an attractive solution for “target hiding” of elements inside coupled systems.

Disordered Potential Landscapes for Anomalous Delocalization and Superdiffusion of Light

“…19,20 Anomalous transports in unconventional regimes between order and disorder have also been investigated for superdiffusion, 24−26 nondiffracting transport, 27 and functional wave transport. 21,28 The concept of hyperuniformity for short-range order 29−32 enables the understanding of crystal-like scattering or large bandgap in disordered materials. In most previous approaches, the discrete systems having two degrees of freedom of on-site and hopping energies have been considered by simplifying full wave phenomena to the interactions of bound modes: for example, random dimer models or tight-binding lattices 15−23 or the packing density of elemental structures.…”

“…For example, by changing the strength of the disorder, a continuous transition from ballistic to diffusive transport and to Anderson localization has been achieved . Especially, from the distinct distributions of on-site and hopping energies, the existence of delocalized eigenmodes in disordered discrete systems has been demonstrated, − by searching and engineering the spectral region, − by partially introducing the correlation, ,, by inversely designing the on-site energy distribution for randomly distributed hopping energy, or by constructing the building block of designed on-site and hopping energy distributions. , Anomalous transports in unconventional regimes between order and disorder have also been investigated for superdiffusion, − nondiffracting transport, and functional wave transport. , The concept of hyperuniformity for short-range order − enables the understanding of crystal-like scattering or large bandgap in disordered materials. In most previous approaches, the discrete systems having two degrees of freedom of on-site and hopping energies have been considered by simplifying full wave phenomena to the interactions of bound modes: for example, random dimer models or tight-binding lattices − or the packing density of elemental structures. − Due to the restricted degree of freedom on hopping energy in “continuous” potential landscapes, the delocalization and anomalous transport in a continuous disordered potential have not been intensively studied.…”