Recent Studies on Nonlinearity in SAW Devices

Nakagawa, Ryo; Shimizu, Hiroshi; Suzuki, Tomiko M.; Hashimoto, Ken–ya; Kyoya, Haruki; Gawasawa, Masahiro; Omori, Tatsuya

doi:10.1109/ic-mam55200.2022.9855207

Cited by 2 publications

(27 citation statements)

References 13 publications

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“…The expansion coefficients on the right-hand side of (3) may be regarded as components of generalized tensors C, S (2) , S (3) , which may depend on position X. In order to avoid confusion, we note that the superscripts (2) and (3) in the above equation refer to second-order (i.e., lowest-order) and third-order nonlinearity, respectively, and do not correspond to the order in the expansion of Φ in powers of generalized displacement gradient components. For simplicity, we only treat cases where the system is in static equilibrium, where no external static stress or electric field is applied to the system.…”

Section: General Theorymentioning

confidence: 99%

“…If at least one of the indices m, n, p, q is equal to 4, the corresponding coefficient is related to the electrical potential. All fourth-order material constants entering the generalized eighth-rank tensor S (3) are specified in [23]. (For further details, see [16,20,23,25,34].)…”

Section: General Theorymentioning

confidence: 99%

“…(For further details, see [16,20,23,25,34].) Explicit expressions for the elements of the tensors S (2) , S (3) in terms of the material constants are provided in the Appendix A.…”

Section: General Theorymentioning

confidence: 99%

“…In order to obtain reliable results in FEM simulations, all material constants entering the generalized tensors C, S (2) and S (3) must be known for the materials that constitute the device to be modelled. For the example system of a TC-SAW interdigital transducer considered here, these are 128 • rotated Y-cut LiNbO 3 as substrate material (Euler angles: λ = 0.0 • , µ = 37.85 • , θ = 0.0 • ), copper electrodes and a temperature-compensating silicon oxide film, which covers the electrodes and the substrate surface.…”

Section: Input Data For the Tc-saw Systemmentioning

confidence: 99%

“…So far, modelling of nonlinear effects in SAW devices has mostly been carried out phenomenologically by extending coupling of modes (COM) and P-matrix theory [1][2][3][4] or by nonlinear extensions of an equivalent circuit model (especially the Mason model) [5]. The latter were successfully applied to bulk acoustic wave (BAW) devices [6,7] (and references therein).…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

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%

Section: General Theorymentioning

confidence: 99%

“…(For further details, see [16,20,23,25,34].) Explicit expressions for the elements of the tensors S (2) , S (3) in terms of the material constants are provided in the Appendix A.…”

Section: General Theorymentioning

confidence: 99%

Section: Input Data For the Tc-saw Systemmentioning

confidence: 99%