ABSTRACT

In this chapter, we present our work on the engineering of

structured light with orbital angular momentum (OAM) using

aperiodic arrays ofmetallic nanoparticles arrangedwith Vogel spiral

geometry. In particular, we introduce and discuss the distinctive

structural properties of different types of Vogel spirals and we

demonstrate the ability to encode specific numerical sequences,

determined by the aperiodic geometry, onto the azimuthal OAM

values of diffracted optical beams. Finally, using Fourier-Hankel

mode decomposition and interferometric reconstruction of the

complex scattered far-fields, we prove experimentally the controlled

generation of large OAM azimuthal values, in excellent agreement

with analytical scattering theory. The engineering of diffracted

beams with controllable OAM spectra using flat aperiodic plasmon

arrays is relevant to a number of applications in singular optics,

classical, and quantum cryptography.