Nonlinear Evolution of Piezoelectric SAWs

David, E.A.; Parker, D. F.

doi:10.1007/978-3-642-83508-7_3

Cited by 6 publications

(3 citation statements)

References 12 publications

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“…The latter will be treated as the fourth component, u 4 , of a four-component generalized displacement field. This concept was introduced for linear piezoelectricity in [28] and was applied to nonlinearity in [25,[29][30][31][32]. The components of the generalized displacement field are labelled by lower-case Latin indices.…”

Section: General Theorymentioning

confidence: 99%

FEM Modeling of Electro-Acoustic Nonlinearities in Surface Acoustic Wave Devices: A Methodological Review

Mayer

Mayer³

et al. 2023

Acoustics

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In the framework of electro-elasticity theory and the finite element method (FEM), a model is set up for the computation of quantities in surface acoustic wave (SAW) devices accounting for nonlinear effects. These include second-order and third-order intermodulations, second and third harmonic generation and the influence of electro-acoustic nonlinearity on the frequency characteristics of SAW resonators. The model is based on perturbation theory, and requires input material constants, e.g., the elastic moduli up to fourth order for all materials involved. The model is two-dimensional, corresponding to an infinite aperture, but all three Cartesian components of the displacement and electrical fields are accounted for. The first version of the model pertains to an infinite periodic arrangement of electrodes. It is subsequently generalized to systems with a finite number of electrodes. For the latter version, a recursive algorithm is presented which is related to the cascading scheme of Plessky and Koskela and strongly reduces computation time and memory requirements. The model is applied to TC-SAW systems with copper electrodes buried in an oxide film on a LiNbO3 substrate. Results of computations are presented for the electrical current due to third-order intermodulations and the displacement field associated with the second harmonic and second-order intermodulations, generated by monochromatic input tones. The scope of this review is limited to methodological aspects with the goal to enable calculations of nonlinear quantities in SAW devices on inexpensive and easily accessible computing platforms.

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Section: General Theorymentioning

confidence: 99%

FEM Modeling of Electro-Acoustic Nonlinearities in Surface Acoustic Wave Devices: A Methodological Review

Mayer

Mayer³

et al. 2023

Acoustics

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“…Loop solitons are analysed in detail by Konno and Jeffrey (1994) and Jeffrey (1994). The surface waves have been known for a long time but their nonlinear analysis has a much shorter history (see David and Parker, 1988). 5.2) may lead to interesting phenomena.…”

Section: Direct Infiuence Of Geometrymentioning

confidence: 99%

Nonlinear Wave Dynamics

Engelbrecht

1997

Kluwer Texts in the Mathematical Sciences

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“…2. The surface waves are known for a long time but their nonlinear analysis has a much shorter history (see David and Parker, 1988). Recent results show that despite the complicated character of motion (the path of any particle in motion is an ellipse), there is a possibility to derive a nonlinear evolution equation for surface waves [Fig.…”

Section: Complicated Geometrymentioning

confidence: 99%

Waves, Solids, and Nonlinearities

Engelbrecht

1995

Shock and Vibration

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In this article nonlinearity is taken as a basic property of continua or any other wave-bearing system. The analysis includes the conventional wave propagation problems and also the wave phenomena that are not described by traditional hyperbolic mathematical models. The basic concepts of continuum mechanics and the possible sources of nonlinearities are briefly discussed. It is shown that the technique of evolution equations leads to physically well-explained results provided the basic models are hyperbolic. Complicated constitutive behavior and complicated geometry lead to mathematical models of different character and, as shown by numerous examples, other methods are then used for the analysis. It is also shown that propagating instabilities possess wave properties and in this case the modeling of energy redistribution has a great importance. Finally, some new directions in the theory and applications are indicated.

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Nonlinear Evolution of Piezoelectric SAWs

Cited by 6 publications

References 12 publications

FEM Modeling of Electro-Acoustic Nonlinearities in Surface Acoustic Wave Devices: A Methodological Review

FEM Modeling of Electro-Acoustic Nonlinearities in Surface Acoustic Wave Devices: A Methodological Review

Nonlinear Wave Dynamics

Waves, Solids, and Nonlinearities

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