Stable scattering-matrix method for surface acoustic waves in piezoelectric multilayers

@article{Pastureaud2002StableSM,
  title={Stable scattering-matrix method for surface acoustic waves in piezoelectric multilayers},
  author={Thomas Pastureaud and V. Laude and Sylvain Ballandras},
  journal={Applied Physics Letters},
  year={2002},
  volume={80},
  pages={2544-2546},
  url={https://api.semanticscholar.org/CorpusID:120876349}
}
A scattering matrix approach is proposed to avoid numerical instabilities arising with the classical transfer matrix method when analyzing the propagation of plane surface acoustic waves in piezoelectric multilayers. The method is stable whatever the thickness of the layers, and the frequency or the slowness of the waves. The computation of the Green’s function and of the effective permittivity of the multilayer is outlined. In addition, the method can be easily extended to the case of… 
View via Publisher
pubs.aip.org
90 Citations
Highly Influential Citations
1
Background Citations
9
Methods Citations
27

Figures and Tables from this paper

90 Citations

Scattering matrix method for modeling acoustic waves in piezoelectric, fluid, and metallic multilayers

Many ultrasonic devices, among which are surface and bulk acoustic wave devices and ultrasonic transducers, are based on multilayers of heterogeneous materials, i.e., piezoelectrics, dielectrics,…

Recursive surface impedance matrix methods for ultrasonic wave propagation in piezoelectric multilayers.

Guided wave propagation in multilayered piezoelectric structures

A general formulation of the method of the reverberation-ray matrix (MRRM) based on the state space formalism and plane wave expansion technique is presented for the analysis of guided waves in…

Recursive Asymptotic Hybrid Matrix Method for Acoustic Waves in Multilayered Piezoelectric Media

This paper presents the recursive asymptotic hybrid matrix method for acoustic waves in multilayered piezoelectric media. The hybrid matrix method preserves the numerical stability and accuracy…

Unified and stable scattering matrix formalism for acoustic waves in piezoelectric stacks

This paper presents a unified and full scattering matrix (s‐matrix) formalism. A stable recursive algorithm is derived for computation of the total s‐matrix of a multilayered stack in terms of the…

Matrix Algorithms for Modeling Acoustic Waves in Piezoelectric Multilayers

Matrix algorithms for modeling acoustic waves in piezoelectric multilayers are presented and the algorithms that syner- gize both scattering and hybrid or impedance submatrices are superior, using surface matrix approach.

Computation of plate wave dispersion diagrams and surface wave velocities without explicit boundary conditions

It is shown how the free surface boundary condition can be included implicitly in the form of the PWE solution, thus leading to an efficient eigenvalue problem.

Modeling of multilayered acoustic wave devices with the method of reverberation-ray matrix

The method of reverberation-ray matrix (MRRM) are modified and extended to the analysis of wave propagation in multilayered acoustic wave devices based on three-dimensional linear piezoelectricity.…

Recursive asymptotic stiffness matrix method for analysis of surface acoustic wave devices on layered piezoelectric media

Based on a simple second-order thin layer asymptotic expansion for the transfer matrix, an asymptotic solution for the stiffness matrix for a general anisotropic piezoelectric thin layer is obtained.…

Imaginary branches of surface acoustic wave slowness curves

The imaginary branches of surface acoustic wave slowness curves are needed in many modal or spectral models that account for waveguides or diffraction based on the angular spectrum of waves approach.…
...

5 References

Propagation of acoustic surface waves in multilayers: A matrix description

A matrix formalism is outlined for studying surface wave propagation in layered structures utilizing materials of arbitrary anisotropy, piezoelectricity, and conductivity. The analytical formulation…

Matrix methods applied to acoustic waves in multilayers

Matrix methods for analyzing the electroacoustic characteristics of anisotropic piezoelectric multilayers are described. The conceptual usefulness of the methods is demonstrated in a tutorial fashion…

On the existence of surface acoustic waves on piezoelectric substrates

General existence theorems for surface waves on piezoelectric substrates are presented and it is demonstrated that for short circuit boundary conditions a surface wave solution must exist under virtually any circumstances, however, for a free surface, comparatively stringent existence conditions are required.

Dyadic Green's functions for multi-layer SAW substrates

This paper extends the calculation of the dyadic Green's function to multi-layer substrates and shows that its computation involves a simple cascaded matrix multiplication, which can be used to describe the surface behavior with no further regard to the substrate's composition.

Analysis of Generation and Detection of Surface and Bulk Acoustic Waves by Interdigital Transducers

Ahrroct-A method of analysis which uses a combination of analyti- coupling hasso far only been solved for the specific cases of an cal and numerical techniques has been developed to obtain an…