Combined FEM and Green's function analysis of periodic SAW structure, application to the calculation of reflection and scattering parameters

Ventura, P.; Hodé, J.M.; Desbois, J.; Solal, M.

doi:10.1109/58.949734

Cited by 75 publications

(62 citation statements)

References 11 publications

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“…These methods use the harmonic admittance per electrode pair as well as the cutoff frequencies bounding the stop-bands of the short-circuited and open gratings with an infinite number of electrodes. In the case of infinite gratings, the wave fields can be represented in the form 19 S ␣ ͑x,z͒ = e ik B ͑1+␥͒x S p␣ ͑x,z͒ ϵ e ik B ␥x S ␣ ͑x,z͒, ͑12͒…”

Section: Determination Of Com Parametersmentioning

confidence: 99%

“…It relies on the combination of the periodic Green's function method with the finite element method ͑FEM͒. [17][18][19][20][21] The Green's matrix function describes the wave fields in the substrate, while FEM serves to determine the elastic field in the electrode. The algorithm as a whole is commonly called FEM/ boundary element method or FEM/ spectral domain analysis ͑SDA͒ depending on how specifically the elastic stresses and the electric charge on the electrode-substrate contact are found.…”

Section: Introductionmentioning

confidence: 99%

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Acoustic waves guided by a fluid layer on a piezoelectric substrate

Darinskii

Weihnacht

2008

Journal of Applied Physics

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This paper theoretically studies the propagation and the generation of leaky acoustic waves in a fluid layer enclosed between the half-infinite YZ-LiNbO3 (lithium niobate) substrate coated with a thin SiO2 (silicone dioxide) layer and the half-infinite domain occupied by silicone rubber. The plane wave spectrum in the structure is computed, and the specific features of the behavior of the real and imaginary parts of the leaky wave velocity depending on the fluid layer thickness and the electric boundary conditions are analyzed. Besides, the numerical estimations are made of the coupling-of-mode (COM) parameters describing a periodic grating deposited on the LiNbO3 substrate under the SiO2 layer. The dependence of the COM parameters is investigated on characteristics and conditions specifying the structure, such as the fluid layer thickness, the SiO2 coating thickness, and the presence or the absence of projections on the SiO2 coating face in contact with the fluid. In particular, it is found that the reflection and the transduction coefficients remain high enough even when the fluid layer is several wavelengths thick provided that the frequency is close to the value f0=vl0′∕2p, where vl0′ is the real leaky wave velocity at the zeroth thickness of the fluid layer and p is the grating period. It is also found that projections on the SiO2-fluid interface significantly increase the reflection coefficient.

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Section: Determination Of Com Parametersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Acoustic waves guided by a fluid layer on a piezoelectric substrate

Darinskii

Weihnacht

2008

Journal of Applied Physics

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“…An example of such a modelling technique is the FEM/boundaryelement-method (BEM) formalism, which is used in the modelling of surface-acoustic wave devices [2,7].…”

Section: Fem Solution Of the Electromechanical Field Problemmentioning

confidence: 99%

Field models of power BAW resonators

Maricaru

Constantinescu

Nitescu

et al. 2008

2008 4th European Conference on Circuits and Systems for Communications

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“…Technologically, they are desirably employed in solid-state circuits [29]. We refer to [39,41,57,61,62,76,99] for finite element approximations of surface acoustic wave propagation in signal processing. For the SAW devices under consideration, however, the occurrence of BAWs is unwanted, since the interference of BAWs with SAWs can lead to a complete loss of functionality of the device.…”

Section: Lemma 43 Under the Assumptions (48b) Andmentioning

confidence: 99%

Multiscale and Multiphysics Aspects in Modeling and Simulation of Surface Acoustic Wave Driven Microfluidic Biochips

Antil¹,

Hoppe²,

Linsenmann³

et al. 2012

Progress in Computational Physics (PiCP) Vol: 2 Coupled Fluid Flow in Energy, Biology and Environmental Research

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Microfluidic biochips are devices that are designed for high throughput screening and hybridization in genomics, protein profiling in proteomics, and cell analysis in cytometry. They are used in clinical diagnostics, pharmaceutics and forensics. The biochips consist of a lithographically produced network of channels and reservoirs on top of a glass or plastic plate. The idea is to transport the injected DNA or protein probes in the amount of nanoliters along the network to a reservoir where the chemical analysis is performed. Conventional biochips use external pumps to generate the fluid flow within the network. A more precise control of the fluid flow can be achieved by piezoelectrically agitated surface acoustic waves (SAW) generated by interdigital transducers on top of the chip, traveling across the surface and entering the fluid filled channels. The fluid and SAW interaction can be described by a mathematical model which consists of a coupling of the piezoelectric equations and the compressible Navier-Stokes equations featuring processes that occur on vastly different time scales. In this contribution, we follow a homogenization approach in order to cope with the multiscale behavior of the coupled system that enables a separate treatment of the fast and slowly varying processes. The resulting model equations are the basis for the numerical simulation which is taken care of by implicit time stepping and finite element discretizations in space. Finally, the need for a better efficiency and cost effectiveness of the SAW driven biochips in the sense of a significant speed-up and more favorable reliability of the hybridization process requires an improved design which will also be addressed in this contribution. In particular, the challenge to deal with the resulting large scale optimal control and optimization problems can be met by the application of projection based model reduction techniques.

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Combined FEM and Green's function analysis of periodic SAW structure, application to the calculation of reflection and scattering parameters

Cited by 75 publications

References 11 publications

Acoustic waves guided by a fluid layer on a piezoelectric substrate

Acoustic waves guided by a fluid layer on a piezoelectric substrate

Field models of power BAW resonators

Multiscale and Multiphysics Aspects in Modeling and Simulation of Surface Acoustic Wave Driven Microfluidic Biochips

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