Engineering Fano resonances in discrete networks

Abstract

We study transmission properties of discrete networks composed of linear arrays coupled to systems of N side defects, and demonstrate the basic principles of the resonant scattering management through engineering Fano resonances. We find exact solutions for the wave transmission coefficient and reveal the conditions for the perfect reflections and transmissions due to either destructive or constructive interferences. We associate these reflections and transmissions with Fano resonances, and demonstrate how they can be tuned by introducing nonlinear defects into the network.

6 pages, 5 figures, accepted for publication in Phys. Rev. E

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• Interference traps waves in open system: Bound states in the continuum
• Bound states in the continuum in a single-level Fano-Anderson model
• All-optical switching, bistability, and slow-light transmission in photonic crystal waveguide-resonator structures
• Chiral bound states in the continuum
• Optical analogue of population trapping in the continuum: classical and quantum interference effects
• Multiplexing-oriented plasmon-MoS2 hybrid metasurfaces driven by nonlinear quasi bound states in the continuum
• Localized modes and bistable scattering in nonlinear network junctions
• Unified theory of resonances and bound states in the continuum in Hermitian tight-binding models
• Topological superconductivity and Majorana states in low-dimensional systems
• A quantum resonance catastrophe for transport through an AC driven impurity
• Electronic transmission in a model quantum wire with side coupled quasiperiodic chains: Fano resonance and related issues
• Fano resonance in discrete lattice models: controlling lineshapes with impurities
• Perfect spin filter by periodic drive of a ferromagnetic quantum barrier
• Interplay between Fano resonance and $\mathcal{P}\mathcal{T}$ symmetry in non-Hermitian discrete systems
• Aharonov-Bohm ring with a side-coupled atomic cluster: magneto-transport and the selective switching effect
• Tunable dynamic Fano resonances in coupled-resonant optical waveguide
• Engineering bands of extended electronic states in a class of topologically disordered and quasiperiodic lattices
• Tight-binding chains with off-diagonal disorder: Bands of extended electronic states induced by minimal quasi-one dimensionality
• Rigorous results for tight-binding networks: particle trapping and scattering
• Resonance inversion in a superconducting cavity coupled to artificial atoms and a microwave background
• Tuning Fano resonances by magnetic forces for electron transport through a quantum wire side-coupled to a quantum ring
• Electronic transmission in bent quantum wires
• Symmetry breaking in binary chain with nonlinear sites
• Enhanced Transmission of Light and Particle Waves through Subwavelength Nanoapertures by Far-Field Interference
• Interference-induced enhancement of intensity and energy of a multimode quantum optical field by a subwavelength array of coherent light sources
• Absolutely continuous energy bands and extended electronic states in an aperiodic comb-shaped nanostructure
• Transmission in a Fano-Anderson chain with a topological defect
• Transport through an AC driven impurity: Fano interference and bound states in the continuum
• Transparency enhancement in a double-barrier structure by the Fano antiresonance
• Fano Resonances in Quantum Transport with Vibrations