A Transfer Matrix Approach for Acoustic Analysis of a Multilayered Active Acoustic Coating

Cai, Chao; Liu, G.R.; Lam, K.Y.

doi:10.1006/jsvi.2001.3775

Cited by 23 publications

(9 citation statements)

References 21 publications

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“…In addition, there are piezoelectric transducers (PZT) bonded to each side of the device, which is immersed in liquid 4 He. In order to account for the finite size of these different layers, we have used a transfer matrix formalism originating from the 1D Mason model 42 . In this formalism, the transmission of acoustic waves through a layer of finite dimension is expressed in terms of a stress (σ j ) and velocity (v j ).…”

Section: Ultrasonic Fabry-pérot Interferometermentioning

confidence: 99%

Ultrasonic interferometer for first-sound measurements of confined liquidHe4

et al. 2014

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We present a new technique for probing the properties of quantum fluids in restricted geometries. We have confined liquid 4 He within microfluidic devices formed from glass wafers, in which one dimension is on the micro scale. Using an ultrasonic analog to Fabry-Pérot interferometry, we have measured the first-sound of the confined liquid 4 He, which can be a probe of critical behavior near the lambda point (T λ ). All thermodynamic properties of liquid 4 He can be derived from first-sound and heat capacity measurements, and although quite a bit of experimental work has been done on the latter, no measurement of first-sound has been reported for a precisely confined geometry smaller than a few tens of micrometers. In this work, we report measurements of isobaric first-sound in liquid 4 He confined in cavities as small as ∼ 5 µm. Our experimental setup allows us to pressurize the liquid up to ∼ 25 bar without causing deformation of the confined geometry, a pressure which is about four times larger than previously reported with similar microfluidic devices. Our preliminary results indicate that one can possibly observe finite-size effects and verify scaling laws, by using similar devices with smaller confinement.

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Section: Ultrasonic Fabry-pérot Interferometermentioning

confidence: 99%

Ultrasonic interferometer for first-sound measurements of confined liquidHe4

et al. 2014

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“…The problem of finding the solution S eq of the matrix equation e S eq = e S a e S b (30) in terms of known S a and S b is not a soft problem. During the 1900s, the problem was an issue of very great concern in the field of Physics (quantum mechanics/high energy) as well as in pure and applied Mathematics (linear algebra/Lie algebras).…”

Section: Segmentation Techniquementioning

confidence: 99%

“…During the 1900s, the problem was an issue of very great concern in the field of Physics (quantum mechanics/high energy) as well as in pure and applied Mathematics (linear algebra/Lie algebras). The so-called Baker-Campbell-Hausdorff-Dynkin formula, [42]- [48], provided a solution to (30) in the form of a series expansion with nested commutators whose first terms are…”

Section: Segmentation Techniquementioning

confidence: 99%

The Transfer Matrix Method: Analysis of Nonuniform Multiport Systems

Faria

2020

IEEE Access

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A ubiquitous tool in science, physics, and engineering at large, the transfer matrix method (TMM) is particularly suited to deal with complex nonuniform systems (NUS). In the field of electrical engineering, the method is employed in a variety of disciplines that span the electromagnetic spectrum, from power frequencies through RF, millimeter-waves, and terahertz. In this work, three nested goals are pursued. The first is to present a general comprehensive review of the transfer matrix method utilizing two distinct languages: the state space (via the matricant) and the modal analysis (via matrix diagonalization). The second goal, focused on electrical engineering issues, is the application of TMM to the interdisciplinary theme of nonuniform multiconductor transmission lines (MTL) −a good example of a complex reciprocal multiport system. The third goal is to offer the reader novel research results in the context of MTL analysis. Making use of a simple microwave stripline-coupler structure new theoretical results are presented showing that, in some cases, load impedance matching of nonuniform MTLs, using only passive components, may not be physically possible (negative resistors being required), even if the global NUS is longitudinally and transversally symmetric, with or without losses.

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“…With a multi-coated model, the contact mechanics problem (frictionless) of a functionally graded coated system was investigated by Ke and Wang [19]. With the transfer matrix approach, the acoustic characteristics of an acoustic multilayered coating system were analyzed and evaluated by Cai et al [20]. The concept of the transfer matrix method is clear and the formula is simple.…”

Section: Introductionmentioning

confidence: 99%

The electro-mechanics of a coating/substrate system under charged spherical contact

Hou

2019

Mathematics and Mechanics of Solids

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A general theory of the piezo-electric contact mechanics for a transversely isotropic piezo-electric elasticity coated system (TIPECS) under charged spherical contact is presented. Three-dimensional exact solutions for the stresses, displacements, electric displacements and electric potential are derived. The contact radius versus the total load relation is obtained to guide the indentation experiments. The relations of coating thickness versus voltage and coating thickness versus voltage are studied. The optimal thickness can be determined with an optimization procedure. The interfacial delamination area of the TIPECS can be predicted with the interfacial failure criterion. The theoretical results are helpful for the prediction of some transient electrical effects, which can be combined with experiments to estimate some elastic constants, dielectric constants and piezo-electric constants in the indentation process.

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A Transfer Matrix Approach for Acoustic Analysis of a Multilayered Active Acoustic Coating

Cited by 23 publications

References 21 publications

Ultrasonic interferometer for first-sound measurements of confined liquidHe4

Ultrasonic interferometer for first-sound measurements of confined liquidHe4

The Transfer Matrix Method: Analysis of Nonuniform Multiport Systems

The electro-mechanics of a coating/substrate system under charged spherical contact

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