NDLI: Matrix methods applied to acoustic waves in multilayers

Content Provider	IEEE Xplore Digital Library
Author	Adler, E.L.
Copyright Year	1986
Abstract	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 by examples showing how formal statements of propagation, transduction, and boundary-value problems in complicated acoustic layered geometries such as those which occur in surface acoustic wave (SAW) devices, in multicomponent laminates, and in bulk-wave composite transducers are simplified. The formulation given reduces the electroacoustic equations to a set of first-order matrix differential equations, one for each layer, in the variables that must be continuous across interfaces. The solution to these equations is a transfer matrix that maps the variables from one layer face to the other. Interface boundary conditions for a planar multilayer are automatically satisfied by multiplying the individual transfer matrices in the appropriate order, thus reducing the problem to just having to impose boundary conditions appropriate to the remaining two surfaces. The computational advantages of the matrix method result from the fact that the problem rank is independent of the number of layers, and from the availability of personal computer software that makes interactive numerical experimentation with complex layered structures practical.<>
Page Count	6
File Size	547957
Starting Page	485
Ending Page	490
File Format	PDF
ISSN	08853010
Volume Number	37
Issue Number	6
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1990-11-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Acoustic waves Nonhomogeneous media Transmission line matrix methods Surface acoustic waves Differential equations Boundary conditions Anisotropic magnetoresistance Acoustic propagation Acoustic devices Geometry
Content Type	Text
Resource Type	Article
Subject	Acoustics and Ultrasonics Instrumentation Electrical and Electronic Engineering

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