On the exploitation of mode localization in surface acoustic wave MEMS

Hanley, T. H.; Gallacher, Barry J.; Grigg, Harriet

doi:10.1016/j.ymssp.2016.07.018

Cited by 12 publications

(3 citation statements)

References 12 publications

(28 reference statements)

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“…Sprung et al [163] studied the relationship between bound states and surface states in finite periodic systems. In the last years, the TFPS was successfully applied to calculate optical transitions in the active region of (blue) laser devices, [164,165] to study phonon modes in wurtzite, [166] periodic structures, coupled resonators and surface acoustic waves for mode localization sensors, [167] to adjust the coherent transport in finite periodic SLs, [168] transport through ultrathin topological insulator films, [169] to model QW solar cells, [170] to study the expectation values for Bloch functions in finite domains, [171] bound states in the continuum, [172] wave packets (WPs) on finite lattices and through semiconductor and optical-media SLs, [173][174][175][176] to calculate the magneto-conductance of cylindrical wires in longitudinal magnetic fields, [177] persistent currents in small quantum rings, [178] spin transport through magnetic SLs, [103,105,106,108,179] to explain the spin injection through Esaki barriers in ferromagnetic/nonmagnetic structures, [85,[180][181][182][183][184] to study properties of metamaterial SLs and the antimatter effect, [185,186] to improve the theoretical approach to study electromagnetic waves through fiber Bragg gratings, [187] to show why the effective mass approximation works well in nanoscopic structures, [188] and many other physical properties and systems.…”

Section: Introductionmentioning

confidence: 99%

The Transfer Matrix Method and the Theory of Finite Periodic Systems. From Heterostructures to Superlattices

Pereyra

2021

Physica Status Solidi (b)

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Historically, the physics, energy spectrum, and wave functions of superlattices have had different levels of understanding. Unlike the standard approaches, based on theorems for infinite systems, the theory of finite periodic systems (TFPS) constitutes a genuine quantum approach, with closed analytical results. In this theory the finitene number of unit‐cells is an essential condition, while the number of propagating modes, as well as, the potential profiles (or refractive indices) are arbitrary. In this work, the transfer matrix definitions, symmetry properties, group representations, and relations with the scattering amplitudes are reviewed. The derivation of multichannel matrix polynomials (which reduce to Chebyshev polynomials in the one‐propagating mode limit), analytical formulas for resonant states, energy eigenvalues, eigenfunctions, parity symmetries, and discrete dispersion relations for superlattices with different confinement characteristics are reviewed. After showing the inconsistencies and limitations of hybrid approaches that combine the transfer‐matrix method with Floquet's theorem, some applications of the TFPS to multichannel negative resistance, ballistic transistors, coupled channels transport, spintronics, superluminal, and optical antimatter effects are revisited. Two high‐resolution superlattice related experiments are reviewed: the tunneling time in photonic band‐gap and the optical response of blue‐emitting diodes. It is shown that the TFPS accurately predicts the experimental results.

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Section: Introductionmentioning

confidence: 99%

The Transfer Matrix Method and the Theory of Finite Periodic Systems. From Heterostructures to Superlattices

Pereyra

2021

Physica Status Solidi (b)

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“…There has been a growing interest in the development of MEMS devices based on Anderson mode localization to increase the sensitivity to mass perturbation in the last decade [1][2][3][4][5][6][7]. Mode localization occurs within an array of weakly coupled identical resonators in which a mass or stiffness perturbation is introduced.…”

Section: Introductionmentioning

confidence: 99%

Implementation of a tunable hybrid system with coupled high Q-factor resonators based on mode localization for sensing purposes

Humbert

Goavec-Mérou

Walter

et al. 2020

Smart Mater. Struct.

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In this paper, we present a fully tunable system able to generate mode localization between a 170 000 Q-factor quartz crystal microbalance at 1 MHz and a digital device (field programmable gate array) simulating in real time the presence of an identical and weakly-coupled second resonator. Indeed, this method allows to precisely select each parameter value and thus to reach the optimal configuration with the maximum sensitivity to perturbations. In addition, this design gives a perfect adaptability to the geometry of the piezoelectric resonator, that allows to work with much higher frequencies and Q-factors than conventional cantilevers or tuning-forks usually selected for the design of mode-localized sensors. The experimental sensitivities reached in this work are at least two orders of magnitude higher than the ones found in the literature, which is promising for the design of a new generation of ultrasensitive sensors based on Anderson localization.

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“…Chellasivalingam, et al [20] reported a Q-factor of 2400 in air and reached a 367.8-pg resolution with amplitude ratio of the coupled piezoelectric resonators as readout metric. Hanley et al [21] and Humbert et al [22] also proposed solutions of mode-localized mass sensors for highperformance mass sensing. To accurately monitor the resonant frequency and amplitude of the mode-localized sensors in real-time, phase-locked loop (PLL) and proportional-integralderivative (PID) controller modules are normally required for capacitive resonators [23], which significantly increases the systematic complexity.…”

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confidence: 99%

A Self-Sustained Mass Sensor With Physical Closed Loop Based on Thermal-Piezoresistive Coupled Resonators

Quan

Zhang

Wang

et al. 2022

IEEE Trans. Electron Devices

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This article reports a mode-localized mass 1 sensor based on thermal-actuation piezoresistive-detection 2 self-oscillated weakly coupled resonators. Detailed theo-3 retical models and simulations of the self-oscillation of 4 the coupled resonators were established and were also 5 verified using optical and electrical measurements. The sen-6 sor was fabricated and characterized in terms of stability, 7 linearity, sensitivity, and resolution. Supplied with only a 8 constant direct current (DC), the resonant mass sensor 9 could oscillate at its resonant frequency with an ultrahigh 10 quality factor of 95 k in air. By implementing the principle of 11 the mode localization phenomenon, ∼200 times parametric 12 sensitivity improvement with amplitude ratio output was 13 implemented compared to the traditional frequency output 14 metric. A real-time mass detector with 84-fg resolution 15 and larger than ∼700-pg linear measurement range was 16 obtained.

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On the exploitation of mode localization in surface acoustic wave MEMS

Abstract: This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International licence Newcastle University ePrints-eprint.ncl.ac.uk

Cited by 12 publications

References 12 publications

The Transfer Matrix Method and the Theory of Finite Periodic Systems. From Heterostructures to Superlattices

The Transfer Matrix Method and the Theory of Finite Periodic Systems. From Heterostructures to Superlattices

Implementation of a tunable hybrid system with coupled high Q-factor resonators based on mode localization for sensing purposes

A Self-Sustained Mass Sensor With Physical Closed Loop Based on Thermal-Piezoresistive Coupled Resonators

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