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Academic literature on the topic 'Resonators'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 August 2024

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Journal articles on the topic "Resonators"

1

Pillarisetti, Lalith Sai Srinivas, Cliff J. Lissenden, and Parisa Shokouhi. "Understanding the role of resonances and anti-resonances in shaping surface-wave bandgaps for metasurfaces." Journal of Applied Physics 132, no. 16 (October 28, 2022): 164901. http://dx.doi.org/10.1063/5.0093083.

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An array of surface-mounted prismatic resonators in the path of Rayleigh wave propagation generates two distinct types of surface-wave bandgaps: longitudinal and flexural-resonance bandgaps, resulting from the hybridization of the Rayleigh wave with the longitudinal and flexural resonances of the resonators, respectively. Longitudinal-resonance bandgaps are broad with asymmetric transmission drops, whereas flexural-resonance bandgaps are narrow with nearly symmetric transmission drops. In this paper, we illuminate these observations by investigating the resonances and anti-resonances of the resonator. With an understanding of how the Rayleigh wave interacts with different boundary conditions, we investigate the clamping conditions imposed by prismatic resonators due to the resonator’s resonances and anti-resonances and interpret the resulting transmission spectra. We demonstrate that, in the case of a single resonator, only the resonator’s longitudinal and flexural resonances are responsible for suppressing Rayleigh waves. In contrast, for a resonator array, both the resonances and the anti-resonances of the resonators contribute to the formation of the longitudinal-resonance bandgaps, unlike the flexural-resonance bandgaps where only the flexural resonances play a role. We also provide an explanation for the observed asymmetry in the transmission drop within the longitudinal-resonance bandgaps by assessing the clamping conditions imposed by the resonators. Finally, we evaluate the transmission characteristics of resonator arrays at the anti-resonance frequencies by varying a few key geometric parameters of the unit cell. These findings provide the conceptual understanding required to design optimized resonators based on matching anti-resonance frequencies with the incident Rayleigh wave frequency in order to achieve enhanced Rayleigh wave suppression.

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Anilkumar, Allen, Arun George, and Gireesh Sharma N. "Quality-Factor Enhancing Locations for Substrate Mounted Resonators." International Journal of Acoustics and Vibration 25, no. 3 (September 30, 2020): 318–26. http://dx.doi.org/10.20855/ijav.2020.25.31597.

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An important but often overlooked factor that affects the performance of a meso/micro electro mechanical vibratory sensor is the structural interaction between the sensor's resonator and the substrate on which it is mounted. Situating resonators at node points eliminates this interaction and thereby helps to improve a resonator's quality-factor for a particular mode of vibration. This paper addresses the problem of locating a single degree of freedom spring-mass resonator on a generic cantilever substrate. The loci of natural frequencies obtained when the resonator's mounting location is varied are developed, and the nodal locations are identified. Thereafter a method to obtain these locations from the characteristic equation without solving the associated eigenvalue problem is described. Lookup tables detailing the nodal locations and the corresponding natural frequencies for various resonator parameters are presented. It is found that at these special nodal locations, the magnitude of the power transmitted through anchors is negligible, which ensures minimal structural interaction between the resonator and the substrate.

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Ding, Xukai, Jia JIA, Zhengcheng Qin, Zhihu Ruan, Liye Zhao, and Hongsheng Li. "A Lumped Mass Model for Circular Micro-Resonators in Coriolis Vibratory Gyroscopes." Micromachines 10, no. 6 (June 6, 2019): 378. http://dx.doi.org/10.3390/mi10060378.

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Coriolis vibratory gyroscopes (CVGs) with circular micro-resonators, such as hemispherical, ring, and disk resonators, exhibit excellent performances and have extraordinary potential. This paper discusses a generalized lumped mass model for both 3D and planar circular micro-resonators, establishing the relationship between the modal effective mass, the modal equivalent force, and the point displacement of the resonator. The point displacement description of a continuous circular resonator’s motion is defined from the view of capacitance measurement. The modal effective mass is, consequently, determined by the kinetic and the potential energy of the structure and is computed with numerical simulations. Moreover, the modal equivalent force, which can be theoretically calculated for any configuration of discrete electrodes, is deduced by using the concept of force density and the force distribution function. By utilizing the lumped mass model in this paper, the stiffness softening, the mode tuning, and the quadrature correction of the micro-resonators are investigated in detail. The theoretical model is verified by both the finite element method (FEM) and the experiments.

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Li, Haolin, Qingrui Yang, Yi Yuan, Shuai Shi, Pengfei Niu, Quanning Li, Xuejiao Chen, Menglun Zhang, and Wei Pang. "Miniaturized Multi-Cantilever MEMS Resonators with Low Motional Impedance." Micromachines 15, no. 6 (May 24, 2024): 688. http://dx.doi.org/10.3390/mi15060688.

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Microelectromechanical system (MEMS) cantilever resonators suffer from high motional impedance (Rm). This paper investigates the use of mechanically coupled multi-cantilever piezoelectric MEMS resonators in the resolution of this issue. A double-sided actuating design, which utilizes a resonator with a 2.5 μm thick AlN film as the passive layer, is employed to reduce Rm. The results of experimental and finite element analysis (FEA) show agreement regarding single- to sextuple-cantilever resonators. Compared with a standalone cantilever resonator, the multi-cantilever resonator significantly reduces Rm; meanwhile, the high quality factor (Q) and effective electromechanical coupling coefficient (Kteff2) are maintained. The 30 μm wide quadruple-cantilever resonator achieves a resonance frequency (fs) of 55.8 kHz, a Q value of 10,300, and a series impedance (Rs) as low as 28.6 kΩ at a pressure of 0.02 Pa; meanwhile, the smaller size of this resonator compared to the existing multi-cantilever resonators is preserved. This represents a significant advancement in MEMS resonators for miniaturized ultra-low-power oscillator applications.

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Long, T., M. J. Brennan, and S. J. Elliott. "Design of smart machinery installations to reduce transmitted vibrations by adaptive modification of internal forces." Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 212, no. 3 (May 1, 1998): 215–28. http://dx.doi.org/10.1243/0959651981539415.

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There is a requirement to isolate machinery from their surroundings to reduce the transmission of noise and vibration. Reducing the input disturbance of a system can reduce vibration levels, but this is not always a feasible option. One of the simplest ways to overcome these problems is to retrofit a vibration attenuation device. The method used for vibration isolation discussed in this paper is semi-active control and involves using tunable resonators at the mounting positions. These resonators operate by continually adjusting their characteristics such that a large force is generated, achieving vibration attenuation over a range of varying operating conditions. In this paper, the resonators are tuned such that the natural frequency of the resonator is equal to the excitation frequency. Open-loop control is used to roughly tune the resonator, with a precise algorithm changing the characteristics of the resonator such that the host structure and resonator are in quadrature. Using multiple resonators increases the complexity of the system as interaction is possible between the resonators. The interaction between well-coupled resonators is modelled and examined experimentally. A simple control algorithm is developed and implemented which demonstrates that the resonators can be tuned independently, irrespective of the dynamic coupling between them.

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Oliinyk, O. Yu. "VIBRATION FREQUENCY DENSITY CONTROL METHOD IN VIBRATION CONDITIONS." METHODS AND DEVICES OF QUALITY CONTROL, no. 2(43) (December 24, 2019): 41–47. http://dx.doi.org/10.31471/1993-9981-2019-2(43)-41-47.

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The use of existing vibration frequency measuring instruments for monitoring technological parameters inside apparatus and equipment is limited due to the presence of vibrations and industrial noise. The lack of data on the use of part of the technological apparatus as flow resonators through the unexplored basic analytical equations for determining the amplitude-frequency characteristics of such resonators determined the direction of these studies. The article is devoted to studies aimed at establishing the relationship between the vibrational field of the resonator, which is used as part of the technological apparatus with a controlled environment, and its reaction in the form of a change in the frequency or amplitude of the resonator’s own vibrations, which carries information about the properties of the substance in the apparatus. The experimental setup diagram, experimental methodology, and data on determining the oscillation frequency of the resonator under vibration conditions for metallic (corrosion-resistant steel) and non-metallic (organic glass) resonators are presented. The curves obtained from the experimental values were approximated using linear and hyperbolic approximations. It was found that the use of hyperbolic approximation reduces the average approximation error by more than six times. It was found that the error of the hyperbolic approximation error does not exceed 0.022% for a metal resonator and 0.05% for an organic glass resonator. The conducted experimental studies confirm the presence of a determinate coupling of the measured frequency characteristics of the resonator with the density, which was measured inside the equipment. The obtained data was used to develop the scientific and methodological foundations of the vibrational frequency control method in conditions of vibration using a part of the device as a resonator of the vibrational frequency sensor.

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Goates, Caleb B., Mathew F. Calton, Scott D. Sommerfeldt, and David C. Copley. "Modeling acoustic resonators using higher-order equivalent circuits." Noise Control Engineering Journal 67, no. 6 (November 1, 2019): 456–66. http://dx.doi.org/10.3397/1/376742.

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Helmholtz resonators are widely used, but classical models for the resonators, such as the lumped-element equivalent circuit, are inaccurate for most geometries. This article presents higher-order equivalent circuits for describing the resonators based on the one-dimensional wave equation. Impedance expressions are also derived. These circuits and expressions are given for various constituent resonator components, which may be combined to model resonators with curved, tapered, and straight necks. Resonance frequency predictions using this theory are demonstrated on two realistic resonators. The higher-order predictions are also applied to the theory of side branch attenuators in a duct and the theory of resonator coupling with a mode of an enclosure.

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Reddi, Chintapalli VSN, and Chandramouli Padmanabhan. "Design relation and end correction formula for multi-orifice Helmholtz resonators with intrusions." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 230, no. 6 (November 8, 2015): 939–47. http://dx.doi.org/10.1177/0954406215616147.

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Helmholtz resonators are used to control low-frequency noise in cavities. One of the ways to reduce the resonance frequency of a resonator without changing its volume is to introduce an intrusion. Similarly, the introduction of multiple orifices can increase the resonance frequency without changing the resonator volume. These features provide an ability to accommodate slight changes in the cavity/enclosure frequencies during the design process. However, one has to rely on extensive three-dimensional finite element or boundary element simulations to predict the resonator characteristics with the introduction of these features. To reduce the computational burden, a design relation, between the first resonance frequency of a single orifice intruded resonator with that of a multi-orifice intruded resonator, is proposed in this paper. In developing this design relation, the total cross-sectional area of the resonator with multiple orifices is the same as that of the single orifice resonator. It is shown that this design relation is independent of the shape/size of the orifices and resonator cavity. Using this relation, a new end correction formula for the orifice lengths of multi-orifice intruded resonators has been proposed. The end correction formula can be used to calculate the reactance of multi-orifice intruded Helmholtz resonators analytically. These expressions are derived by carrying out extensive simulations of the resonators using the boundary element method. Limited experiments have been carried out to validate the proposed approach. The use of these expressions will reduce the computational cost of simulating cavities embedded with resonators as one can avoid modeling the resonators and use impedance boundary conditions instead.

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Igoshin, Vladimir, Anastasia Nikitina, Mariia Tsimokha, Ivan Toftul, Mihail Petrov, and Kristina Frizyuk. "High-Q states in acoustic apple-shaped resonators." Journal of Physics: Conference Series 2015, no. 1 (November 1, 2021): 012040. http://dx.doi.org/10.1088/1742-6596/2015/1/012040.

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Abstract Apples play a significant role in our culture in various points of human history: starting from Adam and Eve, going on with Judgement of Paris, it also touches such great minds as Sir Isaac Newton and Alan Turing. Beyond that apples are still extremely relevant today due to Steve Jobs. In this work we study high quality (high-Q) resonant states of apple-shaped resonators. We have found that quasi bound states in continuum (quasi-BICs) are possible in the linear acoustic domain. We show that quasi-BICs are of Friedrich-Wintgen type, i.e. accompanied with avoided crossings while elongating or shrinking the apple-shaped resonator. Finally, we build a concise theory based on the group theory approach utilizing Wigner’s theorem. We illustrate that only the resonator symmetry plays major role, but not particular resonator’s shape.

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Stefanovski-Pajovic, Snezana, Milka Potrebic, Dejan Tosic, and Zoran Stamenkovic. "E-plane waveguide bandstop filter with double-sided printed-circuit insert." Facta universitatis - series: Electronics and Energetics 30, no. 2 (2017): 223–34. http://dx.doi.org/10.2298/fuee1702223s.

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In this paper a novel design of an E-plane bandstop waveguide filter with a double-sided printed-circuit insert is presented. Split-ring resonators are used as the resonating elements to obtain the bandstop response. The amplitude response of the waveguide resonator with a single resonating element on the insert is analyzed for various dimensions and positions of the split-ring resonator. The coupling between two resonators on the insert, in terms of their mutual distance, is considered as a next step to the filter design. Various positions of the resonators are considered, including the case with the resonators on the different sides of the insert, which is of interest for the proposed filter design. Finally, a third-order bandstop filter with a double-sided printed-circuit insert, operating in the X-frequency band, is introduced. The filter response is analyzed for various distances between the resonators and for various positions of the resonator printed on the other side of the insert. Proposed filter design is simple, providing for the accurate fabrication, miniaturization and possibility to relatively easy obtain multi-band response, using resonators with different resonant frequencies on the different sides of the insert.

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Dissertations / Theses on the topic "Resonators"

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Thorvaldsson, Thor. "Design and analysis of surface acoustic wave resonators and resonator filters /." [S.l.] : [s.n.], 1988. http://e-collection.ethbib.ethz.ch/show?type=diss&nr=8471.

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Pourkamali, Siavash. "High frequency capacitive single crystal silicon resonators and coupled resonator systems." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2006. http://hdl.handle.net/1853/26563.

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Thesis (Ph.D)--Electrical and Computer Engineering, Georgia Institute of Technology, 2007.
Committee Chair: Ayazi, Farrokh; Committee Member: Allen, Mark; Committee Member: Brand, Oliver; Committee Member: Degertekin, Levent; Committee Member: Papapolymerou, John. Part of the SMARTech Electronic Thesis and Dissertation Collection.

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Nelson, John. "Novel optical resonators." Thesis, University of Glasgow, 2012. http://theses.gla.ac.uk/3130/.

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Optical resonators – two mirrors facing each other, separated by a distance – are a very well studied technology. However, even such a well understood technology can sometimes present surprises. The first part of this thesis investigates the surprising properties of some canonical optical resonators. The basic properties of resonators are introduced. The imaging properties of stable and unstable resonators are examined. The second part of this thesis examines the potential use of grating- coupled cavities in gravitational wave detectors and describes an exper- iment carried out on a 10 m prototype of such a cavity.

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Hendricks, Jason Mark. "Holographic laser resonators." Thesis, University of Southampton, 2002. https://eprints.soton.ac.uk/15485/.

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The work presented within this thesis details the development and characterisation of a CW solid-state adaptive resonator that uses phase-conjugation to actively correct for phase distortions present within the resonator loop. It is shown that the phase-conjugate of a given beam can be produced by the process of degenerate four-wave mixing inside a gain medium. In this scheme two mutually coherent beams overlap within a population inverted region of a laser amplifier and the subsequent interference pattern between them spatially hole burns a grating into the gain. The diffraction efficiency of such gain-gratings is studied both theoretically and experimentally and it is shown that, due to the stored inversion, CW phase-conjugate reflectivities of greater than 100 can be achieved in Nd:YVO4. Using this gain four-wave mixing scheme an adaptive resonator is built that is capable of oscillating with a phase-conjugate mode. The ability of the volume gain-grating to encode and react dynamically to phase distortions present within the resonator loop ensures that the phaseconjugate output beam from the resonator always remains a faithful reproduction of the beam used to seed the resonator. The interactions occurring within the resonator are modelled and a resonator capable of producing an 11.6 W near-diffraction limited output is demonstrated. The powerscaling capabilities of such lasers is then considered and it is shown that the output power can be increased whilst maintaining phase-conjugate oscillation. It is shown that a phase-conjugate output of 6 W can be scaled to 11.7 W with the addition of a power amplifier placed into the existing setup.

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Chen, Wei-Yen. "Benzocyclobutene microring resonators." College Park, Md.: University of Maryland, 2007. http://hdl.handle.net/1903/7695.

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Thesis (Ph. D.) -- University of Maryland, College Park, 2007.
Thesis research directed by: Dept. Electrical and Computer Engineering. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.

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Calton, Matthew Franklin. "Modeling of Acoustic Resonators and Resonator Systems for Use in Passive Noise Control." BYU ScholarsArchive, 2016. https://scholarsarchive.byu.edu/etd/9261.

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Acoustic resonators, such as the Helmholtz and quarter-wave resonator, can be used to attenuate unwanted noise in an enclosed space. Classical formulations can be used to approximate resonator performance for a given resonator configuration, but may lack sufficient accuracy for some applications. This research aims to improve the analytical characterization of resonators to provide better correlation to experimental results. Using higher-order approximations and proper end corrections, more accuracy can be obtained in calculating the impedance and resonance frequency of a single resonator, which will then carry over into the overall configuration of the model. The impedance of a system of resonators in parallel is also considered, where the effects of acoustic coupling can be observed. Resonators with complex, non-ideal geometries are explored for applications where space is limited. The effects of tapers and toroidal curves are considered using impedance translation methods. These theoretical predictions are found to compare favorably with empirical data. Coupling between an enclosure and resonator system is explored experimentally. The effects of resonator placement, damping, and relative cavity and enclosure volume are considered. These data are used to design and test a resonator system with 10 dB of attenuation over a bandwidth of 10 Hz.

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Ho, Gavin Kar-Fai. "Design and characterization of silicon micromechanical resonators." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2008. http://hdl.handle.net/1853/29634.

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Thesis (Ph.D)--Electrical and Computer Engineering, Georgia Institute of Technology, 2009.
Committee Member: David R. Hertling; Committee Member: Farrokh Ayazi; Committee Member: Gary S. May; Committee Member: Oliver Brand; Committee Member: Paul A. Kohl. Part of the SMARTech Electronic Thesis and Dissertation Collection.

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Wei, Lei. "Fiber resonators and lasers." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp02/NQ53524.pdf.

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Othman, M. B. "Silicon-based micromechanical resonators." Thesis, University of Southampton, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.374856.

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Popa, Laura C. "Gallium nitride MEMS resonators." Thesis, Massachusetts Institute of Technology, 2015. http://hdl.handle.net/1721.1/99296.

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Thesis: Ph. D., Massachusetts Institute of Technology, Department of Physics, 2015.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 187-206).
As a wide band-gap semiconductor, with large breakdown fields and saturation velocities, Gallium Nitride (GaN) has been increasingly used in high-power, high-frequency electronics and monolithic microwave integrated circuits (MMICs). At the same time, GaN also has excellent electromechanical properties, such as high acoustic velocities and low elastic losses. Together with a strong piezoelectric coupling, these qualities make GaN ideal for RF MEMS resonators. Hence, GaN technology offers a platform for the seamless integration of low-loss, piezoelectric RF MEMS resonators with high power, high frequency electronics. Monolithic integration of MEMS resonators with ICs would lead to reduced parasitics and matching constraints, enabling high-purity clocks and frequency-selective filters for signal processing and high-frequency wireless communications. This thesis highlights the physics and resonator design considerations that must be taken into account in a monolithically integrated solution. We then show devices that achieve the highest frequency-quality factor product in GaN resonators to date (1.56 x 1013). We also highlight several unique transduction mechanisms enabled by this technology, such as the ability to use the 2D electron gas (2DEG) channel of High Electron Mobility Transistors (HEMTs) as an electrode for transduction. This enables a unique out-of-line switching capability which allowed us to demonstrate the first DC switchable solid-state piezoelectric resonator. Finally, we discuss the benefits of using active HEMT sensing of the mechanical signal when scaling to GHz frequencies, which enabled the highest frequency lithographically defined resonance reported to date in GaN (3.5 GHz). These demonstrated features sh
by Laura C. Popa.
Ph. D.

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Books on the topic "Resonators"

1

Nikhil Kumar, C. S. Magnetic Resonators. Singapore: Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-6176-2.

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Hodgson, Norman, and Horst Weber. Optical Resonators. London: Springer London, 1997. http://dx.doi.org/10.1007/978-1-4471-3595-1.

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Darko, Kajfez, and Guillon Pierre, eds. Dielectric resonators. 2nd ed. Atlanta, GA: Noble Publishing, 1998.

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4

Darko, Kajfez, and Guillon Pierre, eds. Dielectric resonators. Dedham, MA: Artech House, 1986.

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5

Van, Vien. Optical Microring Resonators. Boca Raton, FL : CRC Press, Taylor & Francis Group, [2017] |: CRC Press, 2016. http://dx.doi.org/10.1201/9781315303512.

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Bhugra, Harmeet, and Gianluca Piazza, eds. Piezoelectric MEMS Resonators. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-28688-4.

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Erhart, Jiří, Petr Půlpán, and Martin Pustka. Piezoelectric Ceramic Resonators. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-42481-1.

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Rabus, Dominik Gerhard, and Cinzia Sada. Integrated Ring Resonators. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-60131-7.

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Schmid, Silvan, Luis Guillermo Villanueva, and Michael Lee Roukes. Fundamentals of Nanomechanical Resonators. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-28691-4.

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Trubin, Alexander. Lattices of Dielectric Resonators. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-25148-6.

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Book chapters on the topic "Resonators"

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Crighton, D. G., A. P. Dowling, J. E. Ffowcs Williams, M. Heckl, and F. G. Leppington. "Resonators." In Modern Methods in Analytical Acoustics, 565–94. London: Springer London, 1992. http://dx.doi.org/10.1007/978-1-4471-0399-8_20.

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Iffländer, Reinhard. "Resonators." In Springer Series in Optical Sciences, 69–97. Berlin, Heidelberg: Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-540-46585-0_3.

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Hashimoto, Ken-ya. "Resonators." In Surface Acoustic Wave Devices in Telecommunications, 123–61. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-662-04223-6_5.

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Long, Stephen I. "Resonators." In Communication Electronics: RF Design with Practical Applications using Pathwave/ADS Software, 339–56. New York: River Publishers, 2023. http://dx.doi.org/10.1201/9781032629773-13.

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Poole, Charles P., and Horacio A. Farach. "Resonators." In Handbook of Electron Spin Resonance, 31–46. New York, NY: Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4612-1486-1_3.

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Hodgson, Norman, and Horst Weber. "Prism Resonators." In Optical Resonators, 485–94. London: Springer London, 1997. http://dx.doi.org/10.1007/978-1-4471-3595-1_17.

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Hodgson, Norman, and Horst Weber. "Hybrid Resonators." In Optical Resonators, 505–42. London: Springer London, 1997. http://dx.doi.org/10.1007/978-1-4471-3595-1_19.

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Hodgson, Norman, and Horst Weber. "Ring Resonators." In Optical Resonators, 561–70. London: Springer London, 1997. http://dx.doi.org/10.1007/978-1-4471-3595-1_21.

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Hodgson, Norman, and Horst Weber. "Stable Resonators." In Optical Resonators, 165–222. London: Springer London, 1997. http://dx.doi.org/10.1007/978-1-4471-3595-1_6.

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Hodgson, Norman, and Horst Weber. "Unstable Resonators." In Optical Resonators, 237–80. London: Springer London, 1997. http://dx.doi.org/10.1007/978-1-4471-3595-1_8.

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Conference papers on the topic "Resonators"

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Vummidi, Krishna, Eihab M. Abdel-Rahman, Bashar K. Hammad, Sanjay Raman, and Ali H. Nayfeh. "Micromechanical Resonators With Near-Linear Response." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-66517.

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We study the effect of bias voltage VDC on the effective nonlinearity of electrostatically clamped-clamped microbeam resonators. We identify three domains in the resonator response: hardening-type, softening-type, and near-linear behaviors. In the near linear domain we show that we can increase the power handling of the resonator without distorting its phase noise performance. We investigate the mixing of low frequency 1/f noise into the input signal. This causes phase distortion of the output signal and is quantized as its phase noise. We find that the amplitude and phase responses of the resonator’s displacement are coupled to each other through the effective non-linearity co-efficient (S), which distorts its phase response in the nonlinear regime. Finally we also present closed form expressions for resonator displacement and current in both linear and non-linear regimes.

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2

Dokhanian, Mostafa, Venkateswarlu Putcha, and P. Chandra Sekhar. "Phase conjugate resonators and bistabilities in BaTiO3." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1991. http://dx.doi.org/10.1364/oam.1991.thmm42.

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We report our observations of optical bistabilities and hysteresis1 in photorefractive passive phase conjugate resonators with BaTiO3, caused by grating erasure effects between two resonators in three different configurations. Bistable oscillations have been observed between two semilinear oscillators, two ring resonators, and also between a ring and a semilinear resonator. In the experimental arrangement used for bistability studies, a single-mode argon ion laser beam (4880 Å) entered the crystal in a face appropriate for self-pumped phase conjugation. However, the orientation is kept in such a way that no self-pumped phase conjugation is observable if none of the resonators is in operation. In this geometry, bistability and hysteresis were observed in the signal intensity of one resonator as the reflectivity of the variable beam reflector in the second resonator was increased and then decreased in a cycle. Bistability was also seen in the signal intensity of a single resonator as a function of the reflectivity of the external mirror.

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3

Koh, Sung K., and Yong Chul Kim. "Global Optimal Design of Nanomechanical Resonators." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12204.

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Novel nanomechanical resonators with high mass sensitivities are designed in an optimal manner. We are concerned with a nanomechanical resonator with step changes in cross section and determine its geometry so as to maximize its mass sensitivity. Since the mass sensitivity is proportional to the fundamental frequency, we decide the geometric shape so as to maximize the fundamental frequency. In particular, we design a cantilever resonator with a single discontinuity in its cross sectional area. As the design space of this design problem is decided by the volume of the resonator, we synthesize it for various prescribed volume constraints. The fundamental frequency is estimated based on the Euler-Bernoulli beam theory. We discovered that there is a unique global optimal solution of this design problem that does not depend on the given volume constraints. The mass sensitivity of optimally designed cantilever resonators is 1.9193 times greater than that of conventional uniform beam type resonators that are designed for the same volume. Consequently, the mass sensitivity of a nanomechanical uniform resonator of constant volume can always be enhanced without regard to its global size by modifying its geometry following the optimal design proposed in this paper.

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Gysling, D. L., G. S. Copeland, D. C. McCormick, and W. M. Proscia. "Combustion System Damping Augmentation With Helmholtz Resonators." In ASME 1998 International Gas Turbine and Aeroengine Congress and Exhibition. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/98-gt-268.

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This paper describes an analytical and experimental investigation to enhance combustion system operability using side branch resonators. First, a simplified model of the combustion system dynamics is developed in which the large amplitude pressure oscillations encountered at the operability limit are viewed as limit cycle oscillations of an initially linear instability. Under this assumption, increasing the damping of the small amplitude combustion system dynamics will increase combustor operability. The model is then modified to include side branch resonators. The parameters describing the side branch resonators and their coupling to the combustion system are identified, and their influence on system stability is examined. The parameters of the side branch resonator are optimized to maximize damping augmentation and frequency robustness. Secondly, the model parameters for the combustor and side branch resonator dynamics are identified from experimental data. The analytical model predicts the observed trends in combustor operability as a function of the resonator parameters and is shown to be a useful guide in developing resonators to improve the operability of combustion systems.

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Xu, Yang, and Zhili Hao. "Modeling Support Loss in SOI-Based Micromechanical Resonators." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-41309.

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In light of recent efforts to quantitatively evaluate the quality factor (Q) of micromechanical resonators, this paper presents an analytical-numerical model for calculating support loss in micromechanical resonators made from Silicon-On-Insulator (SOI) wafers. The time-harmonic stress due to the vibrations in a micromechanical resonator is obtained through numerical simulation, while the vibration displacement on substrate due to the stress from micromechanical resonators is analytically derived, with the assumption that the substrate is a semi-infinite medium. The combination of the time-harmonic stress from the resonator and the vibration displacement on substrate gives rise to a quantitative evaluation of support loss, which is further verified with the experimental data in the literature. This analytical-numerical combined model is general and applicable to SOI-based micromechanical resonators with different structural geometries.

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Alcheikh, Nouha, Sherif A. Tella, and Mohammad I. Younis. "Complex Logic Operations Based on MEMS Resonators." In ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/detc2018-85743.

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Complex logic functions based on micro electromechanical resonators has recently attracted significant attention. Realization of complex logic functions through cascading micro resonators has been deterred by challenges involved in their interconnections and the large required array of resonators. This paper presents a micro electromechanical system MEMS resonator with multiple input (actuation) and output (detection) that enables the realization of complex logic operations. The devices are based on a compound resonator consisting of an in-plane clamped-guided arch beam that is mechanically coupled from its guided side to two flexure beams and to another T-shaped resonant beam. As examples, we experimentally demonstrate using the device to realize a half adder and a 1:2 DEMUX, based on electrothermal and electrostatic tuning of the arch beam and side resonant beam. The logic operation is based on the linear frequency modulation. This paper demonstrates that with such compound MEMS resonators, it is possible to build more complex logic functionalities.

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MacFarlane, Duncan L., Norman P. Johnson, and Shoaib Zaidi. "Mode evolution in nonlinear resonators and microdroplets." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1991. http://dx.doi.org/10.1364/oam.1991.wq5.

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We study the evolution of modes in several structures of interest in nonlinear optics. In studies of resonators with phase conjugate elements are present Fox and Li-type calculations for resonators containing idealized phase-conjugate mirrors and ideal and nonideal conventional mirrors. We find that for a range of resonator geometries, Gaussian-type modes and higher-order Gaussian-type modes that are stable in the Fox and Li sense do evolve after a succession of round trips. The nature of this evolution is distinct from resonators with ordinary mirrors; the more orderly transient behavior associated with a phase-conjugate minor resonator elucidates the role of the phase-conjugate mirror. We use a similar approach to calculate the mode evolution time and character for a mode in a spherical microdroplet.

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Yang, Shuo, Daniel Homa, Gary Pickrell, and Anbo Wang. "Flexible Integration of 3D Optical Resonators inside Fibers." In Optical Fiber Sensors. Washington, D.C.: Optica Publishing Group, 2022. http://dx.doi.org/10.1364/ofs.2022.f2.4.

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We report a flexible method to integrate 3D optical resonators inside optical fibers. A prism-coupled cylindrical resonator and a free-space-coupled asymmetric resonator cavity are demonstrated in optical fibers with a quality factor up to 3.53×105.

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9

Shakir, Sami A., and John H. Erkkila. "Effect of coupling hole position in coupled unstable resonators." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1990. http://dx.doi.org/10.1364/oam.1990.thy7.

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A common method of coupling unstable resonators is adjoint coupling through a hole. In this configuration, a portion of the magnified beam in one resonator is injected, as a demagnified beam, through a hole into the neighboring resonator. If the hole is small, diffraction effects are important. We show that the mutual coupling-strength of the two unstable resonators is roughly proportional to the hole size. The amplitude of the mutual coupling parameter oscillates as the position of the coupling hole is varied with respect to the optical axis. The absolute maximum value of mutual coupling takes place when the hole is on the optical axis. We show results for a strip unstable resonator and a three-dimensional resonator, and we discuss an interpretation of the mutual coupling strength in terms of Fresnel zones.

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Shchedrina, S. R., and V. V. Azarova. "THE EFFECT OF PHASE ANISOTROPY OF MIRRORS ON THE CHARACTERISTICS OF RING RESONATORS OF GAS LASERS." In Actual problems of physical and functional electronics. Ulyanovsk State Technical University, 2023. http://dx.doi.org/10.61527/appfe-2023.252-254.

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The intrinsic polarization modes of ring resonators with a non-planar contour are investigated on the basis of the Jones matrix method, taking into account the amplitude and phase anisotropy of resonator mirrors. It is shown by calculation and confirmed by experimental results that there is a certain dependence between the ratios of the mirror parameters and the degree of ellipticity of the resonator's own oscillations. The weighting coefficients for the phase anisotropy of each mirror are determined, at which the ellipticities of the polarization modes tend to unity. At the same time, the difference in the Q-values of the modes tends to zero.

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Reports on the topic "Resonators"

1

Balachandran, B. Nonlinear Oscillations of Microscale Piezoelectric Resonators and Resonator Arrays. Fort Belvoir, VA: Defense Technical Information Center, June 2006. http://dx.doi.org/10.21236/ada463492.

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2

Stewart, James. Low G-Sensitive Quartz Resonators, and Low-Power Clock Utilizing the Resonators. Fort Belvoir, VA: Defense Technical Information Center, December 1999. http://dx.doi.org/10.21236/ada373436.

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Simonson, Robert Joseph, and Alan W. Staton. Viscoelastic coupling of nanoelectromechanical resonators. Office of Scientific and Technical Information (OSTI), September 2009. http://dx.doi.org/10.2172/993930.

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Lee, Peter C. Stress Sensitivity of Dielectric Resonators. Fort Belvoir, VA: Defense Technical Information Center, June 1993. http://dx.doi.org/10.21236/ada266767.

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Anderson, Dana Z., Gan Zhou, and Germano Montemezzani. Temporal Feature Extraction in Photorefractive Resonators. Fort Belvoir, VA: Defense Technical Information Center, December 1994. http://dx.doi.org/10.21236/ada292908.

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Schone, Harlan E. Superconducting Microwave Resonators for Space Applications. Fort Belvoir, VA: Defense Technical Information Center, August 1991. http://dx.doi.org/10.21236/ada252023.

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Suggs, Maria E. Graphene resonators : analysis and film transfer. Office of Scientific and Technical Information (OSTI), May 2012. http://dx.doi.org/10.2172/1055606.

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Riviere, R. A., C. A. Huguley, S. C. Holswade, and C. M. Clayton. Phase Locking of Two HIQ Resonators. Fort Belvoir, VA: Defense Technical Information Center, March 1990. http://dx.doi.org/10.21236/ada221123.

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9

Ulrich, Bruce. Laser Resonators Using Tiered Fresnel Mirrors. Portland State University Library, January 2000. http://dx.doi.org/10.15760/etd.6754.

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Fischer, R. P., T. A. Hargreaves, and A. W. Fliflet. Cold Tests of Quasi-Optical Gyrotron Resonators. Fort Belvoir, VA: Defense Technical Information Center, September 1989. http://dx.doi.org/10.21236/ada212707.

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