The University of Southampton
University of Southampton Institutional Repository

Nonlinear surface acoustic waves and applications

Nonlinear surface acoustic waves and applications
Nonlinear surface acoustic waves and applications

The recent interest in the nonlinear propagation of surface acoustic waves has been generated by developments in acoustic wave signal processing devices. This thesis extends the multiple scales analyses of Kalyanasundaram (Int. J. Engng. Sci. 19, p.279) and Lardner (Int. J. Engng. Sci. 21, p.1331) to consider the effects of anisotropy upon the propagation characteristics of surface acoustic waves. Evolution equations are derived for the harmonic amplitudes which are then solved for cubically anisotropic materials. The constitutive and field equations governing the deformation of a piezoelectric substrate are then derived and the analysis of anisotropic elasticity is extended to consider the propagation of surface waves on a general piezoelectric substrate. Harmonic growth and decay on the commonly used material substrate, lithium niobate, are presented and display transfer of energy between the fundamental frequency and the nonlinearly generated harmonic frequencies. The two cases of oppositely propagating and co-directional waves are considered in the particular configurations of acoustic devices. Numerical routines are used to calculate the efficiency of the degenerate acoustic convolver and harmonic generation assessed in such devices. The interaction of harmonic frequencies of co-directional waves, known as intermodulation distortion, is explored and evolution equations derived and solved for such frequencies.

University of Southampton
Harvey, Alan Paul
149777e6-0fc4-4157-9ae3-b3d36f7d10b7
Harvey, Alan Paul
149777e6-0fc4-4157-9ae3-b3d36f7d10b7

Harvey, Alan Paul (1990) Nonlinear surface acoustic waves and applications. University of Southampton, Doctoral Thesis.

Record type: Thesis (Doctoral)

Abstract

The recent interest in the nonlinear propagation of surface acoustic waves has been generated by developments in acoustic wave signal processing devices. This thesis extends the multiple scales analyses of Kalyanasundaram (Int. J. Engng. Sci. 19, p.279) and Lardner (Int. J. Engng. Sci. 21, p.1331) to consider the effects of anisotropy upon the propagation characteristics of surface acoustic waves. Evolution equations are derived for the harmonic amplitudes which are then solved for cubically anisotropic materials. The constitutive and field equations governing the deformation of a piezoelectric substrate are then derived and the analysis of anisotropic elasticity is extended to consider the propagation of surface waves on a general piezoelectric substrate. Harmonic growth and decay on the commonly used material substrate, lithium niobate, are presented and display transfer of energy between the fundamental frequency and the nonlinearly generated harmonic frequencies. The two cases of oppositely propagating and co-directional waves are considered in the particular configurations of acoustic devices. Numerical routines are used to calculate the efficiency of the degenerate acoustic convolver and harmonic generation assessed in such devices. The interaction of harmonic frequencies of co-directional waves, known as intermodulation distortion, is explored and evolution equations derived and solved for such frequencies.

Text
364571.pdf - Version of Record
Available under License University of Southampton Thesis Licence.
Download (2MB)

More information

Published date: 1990

Identifiers

Local EPrints ID: 461843
URI: http://eprints.soton.ac.uk/id/eprint/461843
PURE UUID: e3f1dc3f-0349-4151-8c1f-c9894613676f

Catalogue record

Date deposited: 04 Jul 2022 18:57
Last modified: 16 Mar 2024 18:52

Export record

Contributors

Author: Alan Paul Harvey

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×