One dimensional resonant Fibonacci quasicrystals: noncanonical linear and canonical nonlinear effects

Abstract

A detailed experimental and theoretical study of the linear and nonlinear optical properties of different Fibonacci-spaced multiple-quantum-well structures is presented. Systematic numerical studies are performed for different average spacing and geometrical arrangement of the quantum wells. Measurements of the linear and nonlinear (carrier density dependent) reflectivity are shown to be in good agreement with the computational results. As the pump pulse energy increases, the excitation-induced dephasing broadens the exciton resonances resulting in a disappearance of sharp features and reduction in peak reflectivity.

Fano interference governs wave transport in disordered systems

“…Similar features should be also manifested in phonon transport through superlattices with compositional disorder. Semiconductor heterostructures are very promising for the controllable study of the effect, because quantum cascade lasers with more than a thousand layers4647, as well as deterministic aperiodic photonic structures with hundreds of layers, are efficiently grown nowadays4849. Observation of very similar Fano resonances in opals22 calls for future theoretical analysis and hints that some of the effects studied here may unexpectedly survive even in 3D, even though localization phenomena in 1D and 3D systems are generally quite different 30…”

Combinatorial Frequency Generation in Quasi-Periodic Stacks of Nonlinear Dielectric Layers

“…In particular, it was found that QPSs create localization of electronic states and their collective response differs from that of their constituents. While the linear wave phenomena in quasi-periodic media were extensively explored during the last few decades , nonlinear QPSs have been studied only recently [25][26][27][28][29][30][31][32][33][34][35].…”

All-Optical Diode Action in Quasiperiodic Fibonacci Nanostructures

“…The rst makes use of a projection from a higher-dimensional space, while the second employs the so-called substitutional sequences [11]. Being strictly quasi-periodic, the Fibonacci sequence can be obtained by using both of the above methods.…”