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Статті в журналах з теми "Simple resonance"

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Автор: Grafiati

Опубліковано: 14 березня 2023

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1

Berkhout, Annemarie, and A. Femius Koenderink. "A simple transfer-matrix model for metasurface multilayer systems." Nanophotonics 9, no. 12 (July 4, 2020): 3985–4007. http://dx.doi.org/10.1515/nanoph-2020-0212.

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AbstractIn this work we present a simple transfer-matrix based modeling tool for arbitrarily layered stacks of resonant plasmonic metasurfaces interspersed with dielectric and metallic multilayers. We present the application of this model by analyzing three seminal problems in nanophotonics. These are the scenario of perfect absorption in plasmonic Salisbury screens, strong coupling of microcavity resonances with the resonance of plasmon nano-antenna metasurfaces, and the hybridization of cavities, excitons and metasurface resonances.

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2

He, Zhihui, Weiwei Xue, Wei Cui, Chunjiang Li, Zhenxiong Li, Lihui Pu, Jiaojiao Feng, Xintao Xiao, Xuyang Wang, and and Gang Li. "Tunable Fano Resonance and Enhanced Sensing in a Simple Au/TiO2 Hybrid Metasurface." Nanomaterials 10, no. 4 (April 5, 2020): 687. http://dx.doi.org/10.3390/nano10040687.

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We investigate Fano resonances and sensing enhancements in a simple Au/TiO2 hybrid metasurface through the finite-different time-domain (FDTD) simulation and coupled mode theory (CMT) analysis. The results show that the Fano resonance in the proposed simple metasurface is caused by the destructive interaction between the surface plasmon polaritons (SPPs) and the local surface plasmon resonances (LSPRs), the quality factor and dephasing time for the Fano resonance can be effectively tuned by the thickness of Au and TiO2 structures, the length of each unit in x and y directions, as well as the structural defect. In particular, single Fano resonance splits into multiple Fano resonances caused by a stub-shaped defect, and multiple Fano resonances can be tuned by the size and position of the stub-shaped defect. Moreover, we also find that the sensitivity in the Au/TiO2 hybrid metasurface with the stub-shaped defect can reach up to 330 nm/RIU and 535 nm/RIU at the Fano resonance 1 and Fano resonance 2, which is more than three times as sensitive in the Au/TiO2 hybrid metasurface without the stub-shaped defect, and also higher than that in the TiO2 metasurface reported before. These results may provide further understanding of Fano resonances and guidance for designing ultra-high sensitive refractive index sensors.

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3

Halas, Naomi. "Playing with Plasmons: Tuning the Optical Resonant Properties of Metallic Nanoshells." MRS Bulletin 30, no. 5 (May 2005): 362–67. http://dx.doi.org/10.1557/mrs2005.99.

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AbstractNanoshells, concentric nanoparticles consisting of a dielectric core and a metallic shell, are simple spherical nanostructures with unique, geometrically tunable optical resonances. As with all metallic nanostructures, their optical properties are controlled by the collective electronic resonance, or plasmon resonance, of the constituent metal, typically silver or gold. In striking contrast to the resonant properties of solid metallic nanostructures, which exhibit only a weak tunability with size or aspect ratio, the optical resonance of a nanoshell is extraordinarily sensitive to the inner and outer dimensions of the metallic shell layer. The underlying reason for this lies beyond classical electromagnetic theory, where plasmon-resonant nanoparticles follow a mesoscale analogue of molecular orbital theory, hybridizing in precisely the same manner as the individual atomic wave functions in simple molecules. This plasmon hybridization picture provides an essential “design rule” for metallic nanostructures that can allow us to effectively predict their optical resonant properties. Such a systematic control of the far-field optical resonances of metallic nanostructures is accomplished simultaneously with control of the field at the surface of the nanostructure. The nanoshell geometry is ideal for tuning and optimizing the near-field response as a stand-alone surface-enhanced Raman spectroscopy (SERS) nanosensor substrate and as a surface-plasmon-resonant nanosensor.Tuning the plasmon resonance of nanoshells into the near-infrared region of the spectrum has enabled a variety of biomedical applications that exploit the strong optical contrast available with nanoshells in a spectral region where blood and tissue are optimally transparent.

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4

Urbonavičius, Benas Gabrielis, and Diana Adlienė. "SIMPLE SURFACE PLASMON RESONANCE-BASED DOSEMETER." Radiation Protection Dosimetry 169, no. 1-4 (November 2, 2015): 336–39. http://dx.doi.org/10.1093/rpd/ncv449.

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5

Hollweg, Joseph V. "A simple mechanical model for resonance absorption: The Alfvén resonance." Journal of Geophysical Research: Space Physics 102, A11 (November 1, 1997): 24127–37. http://dx.doi.org/10.1029/97ja02041.

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6

ALAM, MOHAMMAD-REZA, YUMING LIU, and DICK K. P. YUE. "Oblique sub- and super-harmonic Bragg resonance of surface waves by bottom ripples." Journal of Fluid Mechanics 643 (January 15, 2010): 437–47. http://dx.doi.org/10.1017/s0022112009992850.

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Анотація:

We consider a class of higher order (quartet) Bragg resonance involving two incident wave components and a bottom ripple component (so called class III Bragg resonance). In this case, unlike class I/II Bragg resonance involving a single incident wave and one/two bottom ripple components, the frequency of the resonant wave, which can be reflected or transmitted, is a sum or difference of the incident wave frequencies. In addition to transferring energy across the spectrum leading to potentially significant spectral transformation, such resonances may generate long (infragravity) waves of special importance to coastal processes and engineering applications. Of particular interest here is the case where the incident waves are oblique to the bottom undulations (or to each other) which leads to new and unexpected wave configurations. We elucidate the general conditions for such resonances, offering a simple geometric construction for obtaining these. Perturbation analysis results are obtained for these resonances predicting the evolutions of the resonant and incident wave amplitudes. We investigate special cases using numerical simulations (applying a high-order spectral method) and compare the results to perturbation theory: infragravity wave generation by co- and counter-propagating incident waves normal to bottom undulations; longshore long waves generated by (bottom) oblique incident waves; and propagating–standing resonant waves due to (bottom) parallel incident waves. Finally, we consider a case of multiple resonance due to oblique incident waves on bottom ripples which leads to complex wave creation and transformations not easily tractable with perturbation theory. These new wave resonance mechanisms can be of potential importance on continental shelves and in littoral zones, contributing to wave spectral evolution and bottom processes such as sandbar formation.

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7

Greenhall, John, Eric S. Davis, Peter Kendall, Alan Graham, Dipen N. Sinha, and Cristian Pantea. "Extracting useful machine learning features from acoustic resonance spectra of coupled multi-body structures." Journal of the Acoustical Society of America 151, no. 4 (April 2022): A232. http://dx.doi.org/10.1121/10.0011159.

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The usefulness of machine learning algorithms is highly dependent on the formulation of relevant features that sufficiently represent the model. Acoustic resonance spectra consist of a series of peaks, representing resonant modes of the system and contain detailed information about the system structure, material, boundary forces, etc. We present a technique for extracting useful features from dense acoustic resonance spectra of multi-component systems. For simple geometries, the resonance spectrum is relatively sparse and it is feasible to track individual peaks to quantify properties of the system. However, for multi-component systems, the acoustic resonance spectra consist of overlapping peaks, corresponding to resonances in different components. As a result, a high density of peaks exists, and some peak positions are sensitive to changes in the contact between components. Thus, tracking specific resonance modes becomes challenging. Instead, we combine principles from wavelet transformation, nonlinear normalization, and genetic algorithm optimization to extract useful features from complicated acoustic resonance spectra. We demonstrate this technique on simulated acoustic resonance spectra for multi-layer structures. Here, we are measuring the thickness of a specific layer, which is hampered by changes in the acoustic resonance spectrum due to variation in the other layer thicknesses as well as delamination defects.

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8

Rawlins, Michael. "A simple tragedy with a special resonance." Journal of Health Services Research & Policy 20, no. 2 (November 12, 2014): 124–25. http://dx.doi.org/10.1177/1355819614558672.

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9

NUMANO, Tomokazu, Junichi HATA, Kazuhiro HOMMA, Toshikatsu WASHIO, Kazuyuki MIZUHARA, and Kazuo YAGI. "304 Simple method of magnetic resonance elastography." Proceedings of Ibaraki District Conference 2009 (2009): 73–74. http://dx.doi.org/10.1299/jsmeibaraki.2009.73.

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10

Macías, A., and A. Riera. "A simple method for calculating resonance widths." Chemical Physics Letters 117, no. 1 (May 1985): 42–45. http://dx.doi.org/10.1016/0009-2614(85)80401-2.

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11

Ligterink, N. E. "A SIMPLE PLAN FOR THE Δ RESONANCE". International Journal of Modern Physics A 18, № 03 (30 січня 2003): 421–30. http://dx.doi.org/10.1142/s0217751x03014344.

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We construct the Δ resonance as a superposition of a bare Δ state and the πN continuum. It is parametrized by three coupling constants for local πNΔ and ππ NN couplings and the Δ mass. The latter incorporates the mass renormalization due to the πNΔ interaction, while the results depend only weakly, if at all, on its wave-function renormalization. Three more renormalization constants are needed for the derivative contact interaction. They allow one to generate the Δ resonance dynamically. A large number of fits test the quality of different model assumptions in the P33, P31 and P13p-wave πN scattering channels.

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12

Welton, R. F., T. F. Moran, R. K. Feeney, and E. W. Thomas. "A simple electron cyclotron resonance ion sourcea)." Review of Scientific Instruments 67, no. 4 (April 1996): 1634–37. http://dx.doi.org/10.1063/1.1146906.

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13

Fernandez, F. M., A. M. Meson, and E. A. Castro. "A simple iterative method for resonance calculation." Journal of Physics A: Mathematical and General 19, no. 11 (August 1, 1986): 2075–77. http://dx.doi.org/10.1088/0305-4470/19/11/015.

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14

Chambers, J. E. "A simple mapping for comets in resonance." Celestial Mechanics & Dynamical Astronomy 57, no. 1-2 (October 1993): 131–36. http://dx.doi.org/10.1007/bf00692469.

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15

Knappe, S., M. St�hler, C. Affolderbach, A. V. Ta&?breve;chenachev, V. I. Yudin, and R. Wynands. "Simple parameterization of dark-resonance line shapes." Applied Physics B: Lasers and Optics 76, no. 1 (January 1, 2003): 57–63. http://dx.doi.org/10.1007/s00340-002-1072-8.

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16

Pichierri, Gabriele, and Alessandro Morbidelli. "The onset of instability in resonant chains." Monthly Notices of the Royal Astronomical Society 494, no. 4 (April 26, 2020): 4950–68. http://dx.doi.org/10.1093/mnras/staa1102.

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ABSTRACT There is evidence that most chains of mean motion resonances of type k:k − 1 among exoplanets become unstable once the dissipative action from the gas is removed from the system, particularly for large N (the number of planets) and k (indicating how compact the chain is). We present a novel dynamical mechanism that can explain the origin of these instabilities and thus the dearth of resonant systems in the exoplanet sample. It relies on the emergence of secondary resonances between a fraction of the synodic frequency 2π(1/P1 − 1/P2) and the libration frequencies in the mean motion resonance. These secondary resonances excite the amplitudes of libration of the mean motion resonances, thus leading to an instability. We detail the emergence of these secondary resonances by carrying out an explicit perturbative scheme to second order in the planetary masses and isolating the harmonic terms that are associated with them. Focusing on the case of three planets in the 3:2–3:2 mean motion resonance as an example, a simple but general analytical model of one of these resonances is obtained, which describes the initial phase of the activation of one such secondary resonance. The dynamics of the excited system is also briefly described. Finally, a generalization of this dynamical mechanism is obtained for arbitrary N and k. This leads to an explanation of previous numerical experiments on the stability of resonant chains, showing why the critical planetary mass allowed for stability decreases with increasing N and k.

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17

Simoni, A. "Fitting ultracold resonances without a fit." New Journal of Physics 23, no. 11 (November 1, 2021): 113023. http://dx.doi.org/10.1088/1367-2630/ac3442.

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Abstract We present a numerical procedure allowing one to extract Feshbach resonance parameters from numerical calculations without relying on approximate fitting procedures. Our approach is based on a simple decomposition of the reactance matrix in terms of poles and residual background contribution, and can be applied to the general situation of inelastic overlapping resonances. A simple lineshape for overlapping inelastic resonances, equivalent to known results in the particular cases of isolated and overlapping elastic features, is also rigorously derived.

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18

Zhang, Y., and L. Huang. "Realization of Resonance of a Diaphragm at Any Desired Frequency." Journal of Mechanics 34, no. 1 (November 23, 2015): 29–34. http://dx.doi.org/10.1017/jmech.2015.105.

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AbstractIn noise control, the reactance of a mechanical system needs to be minimized while the resistance is chosen suitably. This work illustrates the possibility of and the ease at which such design tasks may be accomplished by utilizing strong electromechanical coupling. Moving-coil loudspeaker is chosen as the vehicle of illustration and it is considered as a simple spring-mass system when operated below its first diaphragm mode. It is shown that the system mechanical property may be tuned easily by a simple R-LC circuit. In addition to the assigned resonance frequency, there can be a maximum of two other resonances. It is argued that the ability to tune the system mechanical resonance to any frequency, such as the ones at very low frequencies, can be very useful for noise and vibration control applications.

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19

Harish, K. M., B. J. Gallacher, J. S. Burdess, and J. A. Neasham. "Simple parametric resonance in an electrostatically actuated microelectromechanical gyroscope: Theory and experiment." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 222, no. 1 (January 1, 2008): 43–52. http://dx.doi.org/10.1243/09544062jmes742.

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One of the major issues facing electrostatically actuated and sensed microelectromechanical systems (MEMS) sensors is electrical feed-through between the drive and the sense electrodes due to parasitic capacitances. This feed-through, in the case of a ‘tuned’ MEMS gyroscope, limits the sensor sensitivity. In the current paper, the first practical step towards demonstrating reduced feed-through using a combined harmonic forcing and parametric excitation scheme is demonstrated. The equation of motion for the primary mode of vibration of the electrostatically actuated MEMS ring gyroscope is shown to contain a stiffness modulating term which, when modulated at a frequency near twice the natural frequency of the mode, results in parametric resonance. A solution for the equation of motion is assumed, based on Floquet theory, and the method of harmonic balance is employed for analysis. Regions of stability and instability and the stability boundary demarcating the stable and unstable regions are determined. Frequency sweeps, centred on twice the measured resonant frequency of the primary mode, were performed at various values of voltage amplitudes of the parametric excitation and the parametric resonance was observed electrically at half the excitation frequency. This data were used to map the stability boundary of the parametric resonance. The theoretical and experimental stability boundaries are shown to demonstrate significant similarity.

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20

BENZI, ROBERTO, and JEAN-FRANÇOIS PINTON. "STOCHASTIC RESONANCE IN A SIMPLE MODEL OF MAGNETIC REVERSALS." International Journal of Bifurcation and Chaos 21, no. 12 (December 2011): 3489–95. http://dx.doi.org/10.1142/s0218127411030684.

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We discuss the effect of stochastic resonance on a simple model of magnetic reversals. The model exhibits statistically stationary solutions and bimodal distribution of the large scale magnetic field. We observe a nontrivial amplification of stochastic resonance induced by turbulent fluctuations, i.e. the amplitude of the external periodic perturbation needed for stochastic resonance to occur is much smaller than the one estimated by the equilibrium probability distribution of the unperturbed system. We argue that similar amplifications can be observed in many physical systems where turbulent fluctuations are needed to maintain large scale equilibria.

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21

JIN, Yeqian, Wenjing SHI, Mengyun ZHOU, Yifeng TU, and Jilin YAN. "Simple Chemiluminescence Aptasensors Based on Resonance Energy Transfer." Analytical Sciences 27, no. 12 (2011): 1185. http://dx.doi.org/10.2116/analsci.27.1185.

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22

Khellaf, A., D. Thouroude, and J. P. Daniel. "Simple expression of rectangular patch's resistance at resonance." Electronics Letters 26, no. 15 (1990): 1188. http://dx.doi.org/10.1049/el:19900769.

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23

Yao, Chenggui, and Meng Zhan. "Simple electronic circuit model for diversity-induced resonance." Physics Letters A 374, no. 24 (May 2010): 2446–51. http://dx.doi.org/10.1016/j.physleta.2010.04.010.

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24

Thomson, J. L. G. "A simple skin marker for magnetic resonance imaging." British Journal of Radiology 61, no. 727 (July 1988): 638–39. http://dx.doi.org/10.1259/0007-1285-61-727-638.

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25

Kharkongor, D., and Mangal C. Mahato. "Resonance oscillation of a damped driven simple pendulum." European Journal of Physics 39, no. 6 (September 12, 2018): 065002. http://dx.doi.org/10.1088/1361-6404/aadaf0.

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26

Sinha, Sitabhra. "Noise-free stochastic resonance in simple chaotic systems." Physica A: Statistical Mechanics and its Applications 270, no. 1-2 (August 1999): 204–14. http://dx.doi.org/10.1016/s0378-4371(99)00136-3.

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27

Olson, Joel A., Karen J. Nordell, Marla A. Chesnik, Clark R. Landis, Arthur B. Ellis, M. S. Rzchowski, George C. Lisensky, S. Michael Condren, and James W. Long. "Simple and inexpensive classroom demonstrations of nuclear magnetic resonance and magnetic resonance imaging." Journal of Chemical Education 77, no. 7 (July 2000): 882. http://dx.doi.org/10.1021/ed077p882.

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28

Gao, Peng, Yushu Chen, and Lei Hou. "Bifurcation Analysis for a Simple Dual-Rotor System with Nonlinear Intershaft Bearing Based on the Singularity Method." Shock and Vibration 2020 (May 20, 2020): 1–14. http://dx.doi.org/10.1155/2020/7820635.

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Анотація:

This paper aims to classify bifurcation modes for two interrelated primary resonances of a simple dual-rotor system under double frequency excitations. The four degree-of-freedom (4DOF) dynamic equations of the system considering the nonlinearity of the intershaft bearing can be obtained by using the assumed mode method (AMM) and Lagrange’s equation. A simplified method for dynamic equations is developed due to the symmetry of rotors, based on which the amplitude frequency equations for two interrelated primary resonances are obtained by using the multiple scales method. Furthermore, the validity of the simplified method for dynamic equations and the amplitude frequency equations solved by the multiple scales method are confirmed by numerical verification. Afterwards, the bifurcation analysis for two interrelated primary resonances is carried out according to the two-state-variable singularity method. There exist a total of three different types of bifurcation modes because of double frequency excitations of the dual-rotor system and the nonlinearity of the intershaft bearing. The second primary resonance is more prone to have nonlinear dynamic characteristics than the first primary resonance. This discovery indicates that two interrelated primary resonances of the dual-rotor system may have different bifurcation modes under the same dynamic parameters.

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29

Feng, Yanming, Zhiguo Li, Qiang Zhao, Pingping Chen, and Jiqing Wang. "Evaluation of Fano resonance and phase analysis of plasma induced transparency in photonic nanostructure based on equivalent circuit analysis." Journal of Optics 24, no. 3 (February 4, 2022): 035001. http://dx.doi.org/10.1088/2040-8986/ac4b88.

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Abstract Fano resonance and plasma induced transparency (PIT) have been widely observed in various plasmonic nanostructures. Fano resonance takes place in weak coupling regime where coupling constant between two electromagnetic modes is lower than damping constant of system. Hence, extracting coupling and damping coefficients from resonance spectrum is the key to distinguish between Fano resonance and other resonances. In this paper, we propose a simple and realizable coupled LC circuit to analyze Fano resonance and PIT. Weak and strong coupling regime are distinguished by comparing coupling constant with damping constant. Meanwhile, we gain deep insight into Fano resonance and PIT in circuit by analyzing circuit phase and understand their connection with resonance in photonic structure. Furthermore, we extend the equivalent circuit model to the field involved short-range plasmon polarization or multi-orders dark modes. Since there are no specific parameters associated with photonic nanostructure, the proposed equivalent circuit can be used in most plasmonic resonance system as an universal model.

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30

Mirotznik, Mark, William Beck, Kimberly Olver, John Little, and Peter Pa. "Passive Infrared Sensing Using Plasmonic Resonant Dust Particles." International Journal of Optics 2012 (2012): 1–8. http://dx.doi.org/10.1155/2012/651563.

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We present computational and experimental results of dust particles that can be tuned to preferentially reflect or emit IR radiation within the 8–14 μm band. The particles consist of thin metallic subwavelength gratings patterned on the surface of a simple quarter wavelength cavity. This design creates distinct IR absorption resonances by combining the plasmonic resonance of the grating with the natural resonance of the cavity. We show that the resonance peaks are easily tuned by varying either the geometry of the grating or the thickness of the cavity. Here, we present a computational design algorithm along with experimental results that validate the design methodology.

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31

Do, Yun Seon. "Efficient Design Method for Plasmonic Filter for Tuning Spectral Selectivity." Crystals 10, no. 6 (June 23, 2020): 531. http://dx.doi.org/10.3390/cryst10060531.

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Nano-structure-based color technologies have been reported as alternatives for conventional pigment- or dye-based color filters due to their simple design methods and durable characteristics. Since structure-based optical resonances accompany multiple resonance modes, spectral selectivity could be degraded. In this work, a simple and effective design of a plasmonic color filter that combines the plasmonic filter with one-dimensional photonic crystals. The introduced photonic crystal provides a photonic band gap, and it helps in suppressing the undesirable transmission peaks of the plasmonic color filter that originates from higher order resonance modes. Finally, the proposed design achieves high color purity. In addition, the simplicity of the design makes it both suitable for large-area fabrication and cost effective. This work is expected to provide a practical alternative to traditional color filters.

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32

Ma, Yukuan, Yulei Huang, Yuehong Zhu, Hao Zhou, Congliao Yan, Shutong Wang, Guoliang Deng, and Shouhuan Zhou. "Fano-Like Resonance of Heat-Reconfigurable Silicon Grating Metasurface Tuned by Laser-Induced Graphene." Nanomaterials 13, no. 3 (January 25, 2023): 492. http://dx.doi.org/10.3390/nano13030492.

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We propose a heat-reconfigurable metasurface composed of the silicon-based gold grating. The asymmetric Fano-like line shape is formed due to the mutual coupling of the local surface plasmon (LSP) in the gap between the two layers of Au gratings and the surface propagating plasmon (SPP) on the surface of the Au gratings. Then, we effectively regulate the Fano resonance by applying a bias voltage to laser-induced graphene (LIG), to generate Joule heat, so that the resonant dip of one mode of the Fano resonance can shift up to 28.5 nm. In contrast, the resonant dip of the other mode barely changes. This effectively regulates the coupling between two resonant modes in Fano resonance. Our study presents a simple and efficient method for regulating Fano-like interference in the near-infrared band.

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33

Rosaev, A., and Eva Plavalova. "Some of the most interesting cases of close asteroid pairs perturbed by resonance." Proceedings of the International Astronomical Union 15, S364 (October 2021): 226–31. http://dx.doi.org/10.1017/s1743921321001320.

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AbstractWe have randomly selected 20 close asteroid pairs (younger than 800 kyr) from known pairs, and by the application of backward numerical integration we have calculated their orbits. For the reason of speeding up the process of making the resonances visible, we have used a high value of Yarkowsky drift. The results of the calculation show that only two pairs appear to have a simple resonance with Earth and Jupiter while half of the tested pairs are visibly in the vicinity of three-body resonances.We have found a 2-1J-1M resonance for the pair (56232) 1999 JM31 and (115978) 2003 WQ56. Following our study of the pair (10123) Fideoja and (117306) 2004 VF21, we discovered a different resonance than the 7-2J mean motion resonance previously published: we have proved that this pair is perturbed by 9-6J-4M three body resonance.

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34

Couture, P., S. Goldman, R. E. Camley, E. Iacocca, K. L. Livesey, T. Robinson, D. Meyers, S. Maat, H. T. Nembach, and Z. Celinski. "Ferromagnetic resonance of hollow micron-sized magnetic cylinders." Applied Physics Letters 121, no. 20 (November 14, 2022): 202403. http://dx.doi.org/10.1063/5.0124550.

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We have explored dynamic magnetic properties of micron-sized Ni-coated carbon fibers embedded in a polymer matrix for electromagnetic interference shielding applications. These hollow magnetic cylinders exhibit unusual dynamic magnetic properties, which were measured with a broad-band ferromagnetic resonance system (FMR). We observe three families of FMR modes, which are connected to different physical locations within the cylinder. We develop a simple analytic model to explain these results and corroborate resonant mode profiles with micromagnetic simulations. We find excellent agreement between experimental results and theoretical models. Our work indicates that global demagnetizing factors are not appropriate for understanding the spin motions in these hollow cylinders. The FMR absorption observed in these hallow cylinders is very different from those observed in nanowires or solid cylinders. The field-swept envelope of all the observed FMR resonances is very broad, approximately [Formula: see text] = 1 T, with a linewidth of individual modes around [Formula: see text] = 250 mT. This can be important for electromagnetic shielding applications.

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35

Cary, ReJeana, Sarah Unser, Ilaina Monroe, Joseph Holbrook, and Laura Sagle. "Utilizing molecular resonance-localized surface plasmon resonance coupling for copper ion detection in plasma." Analyst 145, no. 14 (2020): 4950–56. http://dx.doi.org/10.1039/d0an00563k.

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36

Gu, Ping, Xiaofeng Cai, Guohua Wu, Chenpeng Xue, Jing Chen, Zuxing Zhang, Zhendong Yan, et al. "Ultranarrow and Tunable Fano Resonance in Ag Nanoshells and a Simple Ag Nanomatryushka." Nanomaterials 11, no. 8 (August 10, 2021): 2039. http://dx.doi.org/10.3390/nano11082039.

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We study theoretically the Fano resonances (FRs) produced by the near-field coupling between the lowest-order (dipolar) sphere plasmon resonance and the dipolar cavity plasmon mode supported by an Ag nanoshell or the hybrid mode in a simple three-layered Ag nanomatryushka constructed by incorporating a solid Ag nanosphere into the center of Ag nanoshell. We find that the linewidth of dipolar cavity plasmon resonance or hybrid mode induced FR is as narrow as 6.8 nm (corresponding to a high Q-factor of ~160 and a long dephasing time of ~200 fs) due to the highly localized feature of the electric-fields. In addition, we attribute the formation mechanisms of typical asymmetrical Fano line profiles in the extinction spectra to the constructive (Fano peak) and the destructive interferences (Fano dip) arising from the symmetric and asymmetric charge distributions between the dipolar sphere and cavity plasmon or hybrid modes. Interestingly, by simply adjusting the structural parameters, the dielectric refractive index required for the strongest FR in the Ag nanomatryushka can be reduced to be as small as 1.4, which largely reduces the restriction on materials, and the positions of FR can also be easily tuned across a broad spectral range. The ultranarrow linewidth, highly tunability together with the huge enhancement of electric fields at the FR may find important applications in sensing, slow light, and plasmon rulers.

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37

Greenwood, Priscilla E., Lawrence M. Ward, and Wolfgang Wefelmeyer. "Statistical analysis of stochastic resonance in a simple setting." Physical Review E 60, no. 4 (October 1, 1999): 4687–95. http://dx.doi.org/10.1103/physreve.60.4687.

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Chakavarti, S. K. "Virbating string resonance experiment: A simple opto‐electronic demonstration." Physics Teacher 24, no. 1 (January 1986): 40–42. http://dx.doi.org/10.1119/1.2341932.

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Litvinsky, L. L. "Simple phenomenological model of neutron-resonance densities in 60." Physics of Atomic Nuclei 64, no. 8 (August 2001): 1416–18. http://dx.doi.org/10.1134/1.1398933.

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40

Nazarov, S. A. "Waveguide with double threshold resonance at a simple threshold." Sbornik: Mathematics 211, no. 8 (August 2020): 1080–126. http://dx.doi.org/10.1070/sm9323.

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41

Clarke, David L., and Michael A. Collins. "Simple model of coherent energy transfer by Fermi resonance." Journal of Chemical Physics 92, no. 9 (May 1990): 5602–11. http://dx.doi.org/10.1063/1.458492.

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Hilborn, Robert C. "A simple model for stochastic coherence and stochastic resonance." American Journal of Physics 72, no. 4 (April 2004): 528–33. http://dx.doi.org/10.1119/1.1645283.

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43

Graham, Duncan, Benjamin J. Mallinder, David Whitcombe, Nigel D. Watson, and W. Ewen Smith. "Simple Multiplex Genotyping by Surface-Enhanced Resonance Raman Scattering." Analytical Chemistry 74, no. 5 (March 2002): 1069–74. http://dx.doi.org/10.1021/ac0155456.

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44

Holloway, Clive E., Armando Mastracci, and Ian M. Walker. "Yttrium-89 magnetic resonance study of simple coordination complexes." Inorganica Chimica Acta 113, no. 2 (March 1986): 187–91. http://dx.doi.org/10.1016/s0020-1693(00)82245-8.

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45

Kumar, Raghwendra, and S. Anantha Ramakrishna. "Simple trilayer metamaterial absorber associated with Fano-like resonance." Journal of Nanophotonics 14, no. 01 (March 18, 2020): 1. http://dx.doi.org/10.1117/1.jnp.14.016011.

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46

Barbi, Michele, Angelo Di Garbo, and Francesco Barbi. "Stochastic resonance in two simple compare-and-fire models." Biosystems 89, no. 1-3 (May 2007): 58–62. http://dx.doi.org/10.1016/j.biosystems.2006.05.011.

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47

Kiefer, W., M. Ganz, P. Vogt, and M. Schmitt. "Time evolution of resonance Raman scattering from simple systems." Journal of Molecular Structure 347 (March 1995): 229–44. http://dx.doi.org/10.1016/0022-2860(95)08548-a.

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48

Welton, R. F., T. F. Moran, R. K. Feeney, and E. W. Thomas. "A simple electron cyclotron resonance ion source (abstract)a)." Review of Scientific Instruments 67, no. 3 (March 1996): 1216. http://dx.doi.org/10.1063/1.1147237.

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Brateman, Libby, Linda W. Jennings, Ray L. Nunnally, and J. Thomas Vaughan. "Evaluations of magnetic resonance imaging parameters with simple phantoms." Medical Physics 13, no. 4 (July 1986): 441–48. http://dx.doi.org/10.1118/1.595894.

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50

Chhabra, Avneesh. "Magnetic Resonance Neurography—Simple Guide to Performance and Interpretation." Seminars in Roentgenology 48, no. 2 (April 2013): 111–25. http://dx.doi.org/10.1053/j.ro.2012.11.004.

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