Accurate and Efficient Modeling of SAW Structures

Hofer, M.; Jungwirth, Mario; Lerch, Reinhard; Weigel, Robert

doi:10.1515/freq.2001.55.1-2.64

Cited by 2 publications

(3 citation statements)

References 12 publications

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“…and subject to the inequality constraints (61). Due to the nonlinear dependence on the design variables, (62), (63) and (61) represents an inequality constrained nonlinear programming problem.…”

Section: Path-following Barrier Methodsmentioning

confidence: 99%

“…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%

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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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Section: Path-following Barrier Methodsmentioning

confidence: 99%

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

View full text Add to dashboard Cite

show abstract

“…Technologically, they are desirably employed in solid-state circuits [13]. We refer to [16,19,23,24,52] for finite element approximations of surface acoustic wave propagation in signal processing. However, for the SAW devices under consideration the presence of BAWs is unwanted, since the interference of BAWs with SAWs can lead to a complete loss of functionality of the device.…”

Section: Surface Acoustic Wave Device Simulationmentioning

confidence: 99%

Numerical simulation of piezoelectrically agitated surface acoustic waves on microfluidic biochips

Gantner

Hoppe

Köster

et al. 2006

Comput. Visual Sci.

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Abstract. Microfluidic biochips are biochemical laboratories on the microscale that are used for genotyping and sequencing in genomics, protein profiling in proteomics, and cytometry cell analysis. There are basically two classes of such biochips: active devices, where the solute transport on a network of channels on the chip surface is realized by external forces, and passive chips, where this is done using a specific design of the geometry of the channel network. Among the active biochips, current interest focuses on devices whose operational principle is based on piezoelectrically driven surface acoustic waves generated by interdigital transducers placed on the chip surface.In this paper, we are concerned with the numerical simulation of such piezoelectrically agitated surface acoustic waves relying on a mathematical model that describes the coupling of the underlying piezoelectric and elastomechanical phenomena. Since the interdigital transducers usually operate at a fixed frequency, we focus on the time-harmonic case. Its variational formulation gives rise to a generalized saddle point problem for which a Fredholm alternative is shown to hold true.The discretization of time-harmonic surface acoustic wave equations is taken care of by continuous, piecewise polynomial finite elements with respect to a nested hierarchy of simplicial triangulations of the computational domain. The resulting algebraic saddle point problems are solved by block-diagonally preconditioned iterative solvers with preconditioners of BPX-type. Numerical results are given both for a test problem documenting the performance of the iterative solution process and for a realistic surface acoustic wave device illustrating the properties of surface acoustic wave propagation on piezoelectric materials.

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Accurate and Efficient Modeling of SAW Structures

Cited by 2 publications

References 12 publications

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

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

Numerical simulation of piezoelectrically agitated surface acoustic waves on microfluidic biochips

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