Abstract
We demonstrate specular photonic "lattices" with random index variations at disordered positions of lattice sites. These amorphous lattice structures, optically induced in a bulk nonlinear crystal, remain invariant during propagation since they are constructed from random components residing on a fixed ring in momentum space. We observe linear spatial localization of a light beam when probing through different "defect" points in such specular lattices, as well as the nonlinear destruction of localized modes. In addition, we illustrate the possibility of image transmission through the disordered lattices, when a self-defocusing nonlinearity is employed.
Highlights
Propagation of light through disordered dielectric systems and associated phenomena have intrigued scientists for more than three decades and have provided insights into recent studies on Anderson localization [1,2,3,4,5], random lasing [6], and disordered photonics [7]
We demonstrate specular photonic “lattices” with random index variations at disordered positions of lattice sites
These amorphous lattice structures, optically induced in a bulk nonlinear crystal, remain invariant during propagation since they are constructed from random components residing on a fixed ring in momentum space
Summary
Propagation of light through disordered dielectric systems and associated phenomena have intrigued scientists for more than three decades and have provided insights into recent studies on Anderson localization [1,2,3,4,5], random lasing [6], and disordered photonics [7]. We demonstrate both experimentally and theoretically an optically induced amorphous photonic structure, which has disorder in both lattice spacing and lattice potential [17] It is a speckle-like structure constructed from a random superposition of plane-waves residing on a ring in momentum space. The momentum space distribution of our structure is, in essence, a non-diffracting random superposition of Bessel’s beams, which means that this lattice is invariant in the propagation direction In such lattices, positive defect modes are highly pronounced and reside significantly above the “amorphous band” (dense populated region associated with Anderson localization modes)
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