Light localization in optically induced deterministic aperiodic Fibonacci lattices

TL;DR

This study demonstrates that light localization occurs in optically induced Fibonacci lattices, a form of deterministic aperiodic structures, showing reduced transverse transport compared to periodic lattices, supported by experiments and simulations.

Contribution

It introduces a method to generate Fibonacci photonic structures using nondiffracting Bessel beams and shows light localization in these structures, expanding understanding of aperiodic photonic systems.

Findings

Light transport is significantly hampered in Fibonacci lattices.

Transverse light localization develops with increased propagation distance.

Fibonacci structures exhibit reduced order but still induce localization.

Abstract

As light localization becomes increasingly pronounced in photonic systems with less order, we investigate optically induced two-dimensional Fibonacci structures which are supposed to be amongst the most ordered realizations of deterministic aperiodic patterns. For the generation of corresponding refractive index structures, we implement a recently developed incremental induction method using nondiffracting Bessel beams as waveguide formation entities. Even though Fibonacci structures present slightly reduced order, we show that transverse light transport is significantly hampered here in comparison with periodic lattices that account for discrete diffraction. Our experimental findings are supported by numerical simulations that additionally illustrate a development of transverse light localization for increasing propagation distance.