On the calculation of the quality factor in contemporary photonic resonant structures

Christopoulos, Thomas; Tsilipakos, Odysseas; Sinatkas, Georgios; Kriezis, Emmanouil E.

doi:10.1364/oe.27.014505

Cited by 69 publications

(40 citation statements)

References 41 publications

(60 reference statements)

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“…In sensing applications of MXenes it is interesting to analyze the quality factor of resonances. It can be calculated using the method presented in [35].…”

Section: Discussionmentioning

confidence: 99%

Interband, Surface Plasmon and Fano Resonances in Titanium Carbide (MXene) Nanoparticles in the Visible to Infrared Range

et al. 2021

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Since the discovery of the optical properties of two-dimensional (2D) titanium carbide (MXene) conductive material, an ever increasing interest has been devoted towards understanding it as a plasmonic substrate or nanoparticle. This noble metal-free alternative holds promise not only due to its lower cost but also its 2D nature, hydrophilicity and apparent bio-compatibility. Herein, the optical properties of the most widely studied Ti3C2Tx MXene nanosheets are theoretically analyzed and absorption cross-sections are calculated exploiting available experimental data on its dielectric function. The occurrence of quadrupole surface plasmon mode in the optical absorption spectra of large MXene nanoparticles is demonstrated for the first time. The resonance wavelengths corresponding to interband transitions, longitudinal and transversal dipole oscillations and quadrupole longitudinal surface plasmon mode are identified for single and coupled nanoparticles by modeling their shapes as ellipsoids, disks and cylinders. A new mechanism of excitation of longwave transversal surface plasmon oscillations by an external electric field perpendicular to the direction of charge oscillations is presented. Excitingly enough, a new effect in coupled MXene nanoparticles—Fano resonance—is unveiled. The results of calculations are compared to known experimental data on electron absorption spectroscopy, and good agreement is demonstrated.

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“…In sensing applications of MXenes it is interesting to analyze the quality factor of resonances. It can be calculated using the method presented in [35].…”

Section: Discussionmentioning

confidence: 99%

Interband, Surface Plasmon and Fano Resonances in Titanium Carbide (MXene) Nanoparticles in the Visible to Infrared Range

et al. 2021

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“…The target spectrum of Equation () can be excellently approximated with trains of physically realizable Lorentzian resonances with resonance frequencies

ω_{k} (r) = {{[(2 k + 1) π]}^{2} + \ln^{2} (A)}^{1 / 2} / τ_{g} (r)

with k = 0, 1, 2, … or

ω_{k} (r) = {{(2 k π)}^{2} + \ln^{2} (A)}^{1 / 2} / τ_{g} (r)

with k = 0, 1, 2, … depending on the sign selection in Equation (). Each resonance is by itself bandwidth limited, but combining multiple resonances into an aggregate bandwidth of high reflection/transmission allows to greatly extend the operational bandwidth (up to arbitrary extents) and at the same time operate with large time delays dictated by the quality factor [ 30 ] of the constituent resonances. More information on the multiresonant prescription for achromatic wavefront manipulation can be found in the Supporting Information.…”

Section: Resultsmentioning

confidence: 99%

“…The surface conductivities that implement the required group delay profile are given by (see the Supporting Information) 3. Each resonance is by itself bandwidth limited, but combining multiple resonances into an aggregate bandwidth of high reflection/ transmission allows to greatly extend the operational bandwidth (up to arbitrary extents) and at the same time operate with large time delays dictated by the quality factor [30] of the constituent resonances. More information on the multiresonant prescription for achromatic wavefront manipulation can be found in the Supporting Information.…”

Section: Theory Of Achromatic Multiresonant Metasurfacesmentioning

confidence: 99%

Squeezing a Prism into a Surface: Emulating Bulk Optics with Achromatic Metasurfaces

Tsilipakos

Kafesaki

Economou

et al. 2020

Advanced Optical Materials

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Metasurfaces promise to replace bulky prisms and lenses with 2D surfaces, revolutionizing wavefront control with technologically significant advantages in size, weight, and planar fabrication. However, conventional implementations suffer from large chromatic aberrations and cannot sustain performance over practical bandwidths of real‐world signals because of the limited phase modulation margin available in a surface. How can an infinitely thin surface generate the arbitrarily large, broadband phase delay that bulk phase accumulation can provide? Here, equivalence between bulk optics and certain multiresonant metasurfaces is demonstrated, where phase delay arises from trains of multiple resonances in the effective sheet conductivities of the surface itself instead of accumulation of propagation phase. The fundamentally required electromagnetic surface conductivities of a purely achromatic metasurface are derived and general design rules for arbitrarily broadband beam steering and lensing are obtained. Both operation in transmission and reflection can be achieved in a unified way by proper alignment of the resonances, enabling 360° directionality. The arbitrary spectral bandwidth, dual reflection/transmission operation, and complete dispensability of propagation phase constitute a major advance in the state of the art of achromatic metasurfaces for wavefront manipulation.

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“…We consider the design of the SMS and we modify the MS pitch in the range of ±1 mm around the value of p = 7.7 mm. The complex eigenfrequencies

\overset{ω}{true}

for the set of investigated s‐/p‐polarized modes are calculated by FEM and the modal dispersion curves and corresponding quality factors, equal to

Q = ℜ {\tilde{ω}} / 2 ℑ {\tilde{ω}}

, [ 65 ] are shown in Figures 8c and 8d, respectively. Shorter pitch values lead to higher modal frequencies, as the high‐permittivity resonators occupy a higher volume fraction and higher quality factors due to stronger interaction among adjacent resonators.…”

Section: Discussionmentioning

confidence: 99%

All‐Dielectric Toroidal Metasurfaces for Angular‐Dependent Resonant Polarization Beam Splitting

Zografopoulos

Algorri

Fuscaldo

et al. 2021

Advanced Optical Materials

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An all‐dielectric metasurface exhibiting a strong toroidal resonance is theoretically designed and experimentally demonstrated as an angular‐dependent resonant polarization beam‐splitter in the microwave K‐band. The metasurface is fabricated by embedding a square periodic array of high‐permittivity ceramic cuboid resonators in a 3D‐printed substrate of polylactic acid. It is demonstrated that by properly selecting the resonator geometry and by tuning the angle of incidence through mechanical rotation, the metasurface can switch between a polarization beam splitting and bandpass or bandstop operation. Such performance is achieved by exploiting the highly asymmetric Fano spectral profile of the toroidal resonance and the very low (high) dispersion of the associated p‐(s‐) polarized mode resulting from the resonant toroidal dipole mode's field profile, as evidenced by both full‐wave and band structure simulations. Theoretically infinite extinction ratios are achievable for polarization beam splitting operation with very low insertion losses and adjustable bandwidth. The experimental demonstration of such a compact, all‐dielectric metasurface expands the research portfolio of resonant metasurfaces toward not only the investigation of the intriguing physics of toroidal modes but also to the engineering of functional millimeter‐wave components for polarization control, for instance, in the context of 5G wireless communication networks.

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On the calculation of the quality factor in contemporary photonic resonant structures

Cited by 69 publications

References 41 publications

Interband, Surface Plasmon and Fano Resonances in Titanium Carbide (MXene) Nanoparticles in the Visible to Infrared Range

Interband, Surface Plasmon and Fano Resonances in Titanium Carbide (MXene) Nanoparticles in the Visible to Infrared Range

Squeezing a Prism into a Surface: Emulating Bulk Optics with Achromatic Metasurfaces

All‐Dielectric Toroidal Metasurfaces for Angular‐Dependent Resonant Polarization Beam Splitting

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