Abstract:Collective lattice resonances in regular arrays of plasmonic nanoparticles have attracted much attention due to a large number of applications in optics and photonics. Most of the research in this field is concentrated on the electric dipolar lattice resonances, leaving higher-order multipolar lattice resonances in plasmonic nanostructures relatively unexplored. Just a few works report exceptionally high-Q multipolar lattice resonances in plasmonic arrays, but only with infinite extent (i.e., perfectly periodi… Show more
“…Such discrepancies, commonly known as finite-size effects, arise from the presence of edges as well as from the truncation of the collective behavior due to the finiteness of the structure. Several works have investigated the impact of finite-size effects on the response of periodic arrays of metallic nanoparticles under plane-wave excitation conditions. ,,− Then, it is very interesting to extend these studies to the cases in which the array is excited by a light beam with finite width and, in particular, investigate the effects arising from the interplay between the size of the array and the extension of the beam.…”
Periodic arrays of metallic nanostructures support collective
lattice
resonances, which give rise to optical responses that are, at the
same time, stronger and more spectrally narrow than those of the localized
plasmons of the individual nanostructures. Despite the extensive research
effort devoted to investigating the optical properties of lattice
resonances, the majority of theoretical studies have analyzed them
under plane-wave excitation conditions. Such analysis not only constitutes
an approximation to realistic experimental conditions, which require
the use of finite-width light beams, but also misses a rich variety
of interesting behaviors. Here, we provide a comprehensive study of
the response of periodic arrays of metallic nanostructures when excited
by finite-width light beams under both paraxial and nonparaxial conditions.
We show how as the width of the light beam increases, the response
of the array becomes more collective and converges to the plane-wave
limit. Furthermore, we analyze the spatial extent of the lattice resonance
and identify the optimum values of the light beam width to achieve
the strongest optical responses. We also investigate the impact that
the combination of finite-size effects in the array and the finite
width of the light beam has on the response of the system. Our results
provide a solid theoretical framework to understand the excitation
of lattice resonances by finite-width light beams and uncover a set
of behaviors that do not take place under plane-wave excitation.
“…Such discrepancies, commonly known as finite-size effects, arise from the presence of edges as well as from the truncation of the collective behavior due to the finiteness of the structure. Several works have investigated the impact of finite-size effects on the response of periodic arrays of metallic nanoparticles under plane-wave excitation conditions. ,,− Then, it is very interesting to extend these studies to the cases in which the array is excited by a light beam with finite width and, in particular, investigate the effects arising from the interplay between the size of the array and the extension of the beam.…”
Periodic arrays of metallic nanostructures support collective
lattice
resonances, which give rise to optical responses that are, at the
same time, stronger and more spectrally narrow than those of the localized
plasmons of the individual nanostructures. Despite the extensive research
effort devoted to investigating the optical properties of lattice
resonances, the majority of theoretical studies have analyzed them
under plane-wave excitation conditions. Such analysis not only constitutes
an approximation to realistic experimental conditions, which require
the use of finite-width light beams, but also misses a rich variety
of interesting behaviors. Here, we provide a comprehensive study of
the response of periodic arrays of metallic nanostructures when excited
by finite-width light beams under both paraxial and nonparaxial conditions.
We show how as the width of the light beam increases, the response
of the array becomes more collective and converges to the plane-wave
limit. Furthermore, we analyze the spatial extent of the lattice resonance
and identify the optimum values of the light beam width to achieve
the strongest optical responses. We also investigate the impact that
the combination of finite-size effects in the array and the finite
width of the light beam has on the response of the system. Our results
provide a solid theoretical framework to understand the excitation
of lattice resonances by finite-width light beams and uncover a set
of behaviors that do not take place under plane-wave excitation.
“…Plasmonic nanostructures have shown great potential for sensing applications due to their ability to confine light into nanoscale volumes, leading to high sensitivity and selectivity [ 41 , 42 , 43 , 44 , 45 , 46 ]. The spectral tunability of plasmonic nanostructures is limited by the intrinsic properties of the plasmonic materials and the geometrical design of the nanostructure.…”
Fano resonances result from the strong coupling and interference between a broad background state and a narrow, almost discrete state, leading to the emergence of asymmetric scattering spectral profiles. Under certain conditions, Fano resonances can experience a collapse of their width due to the destructive interference of strongly coupled modes, resulting in the formation of bound states in the continuum (BIC). In such cases, the modes are simultaneously localized in the nanostructure and coexist with radiating waves, leading to an increase in the quality factor, which is virtually unlimited. In this work, we report on the design of a layered hybrid plasmonic-dielectric metasurface that facilitates strong mode coupling and the formation of BIC, resulting in resonances with a high quality factor. We demonstrate the possibility of controlling Fano resonances and tuning Rabi splitting using the nanoantenna dimensions. We also experimentally demonstrate the generalized Kerker effect in a binary arrangement of silicon nanodisks, which allows for the tuning of the collective modes and creates new photonic functionalities and improved sensing capabilities. Our findings have promising implications for developing plasmonic sensors that leverage strong light-matter interactions in hybrid metasurfaces.
“…Plasmonic crystals and as well as inclusions of plasmonic nanoparticles in photonic crystal slabs are well known for their ability to localize light at the nanoscale and form hybrid high-Q collective resonances [29,33,[74][75][76][77][78][79][80][81][82][83][84][85][86][87][88][89][90]. Without a doubt, they can become the basis for a variety of Moiré superlattices as well.…”
In recent years twisted bi-layers of 2D materials became very popular in the field due to the possibility to totally change their electronic properties by simple rotation. At the same time, in the wide field of photonic crystals, this idea still remains almost untouched, and only some particular problems were considered. One of the reasons is the computational difficulty of the accurate consideration of Moiré superlattices that appear due to the superimposition of misaligned lattices. Indeed, the unit cell of the complex lattice is typically much larger than the original crystals and requires much more computational resources for the computations. Here, we propose a careful adaptation of the Fourier modal method in the form of the scattering matrices for the description of twisted 1D gratings' stacks. Our approach allows us to consider sublattices in close vicinity to each other and account for their interaction via the near-field. In the developed numerical scheme, we utilize the fact that each sublattice is only 1D-periodic and therefore simpler than the resulting 2D superlattice, as well as the fact that even a small gap between the lattices filters out high Fourier harmonics due to their evanescent origin. This accelerates the computations from 1 up to 3 and more orders of magnitude for typical structures depending on the number of harmonics. This paves the way for rigorous study of almost any photonic crystals of the proposed geometry and demonstration of specific Moiré-associated effects.
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