DocumentCode :
1426847
Title :
Dyadic Green´s functions for multi-layer SAW substrates
Author :
Smith, Peter M.
Author_Institution :
Dept. of Electr. & Comput. Eng., McMaster Univ., Hamilton, Ont., Canada
Volume :
48
Issue :
1
fYear :
2001
Firstpage :
171
Lastpage :
179
Abstract :
Recent formulations of the dyadic (or generalized) Green´s function describe the relationship between sources (both mechanical stresses and electrical charge) and waves (both mechanical displacements and acoustic potential) on the surface of a substrate. The 16 elements of the function intrinsically describe all propagation modes, whether Rayleigh or leaky, and are, therefore, extremely useful in the design of surface acoustic wave devices. In addition to requiring little computational effort, the dyadic Green´s function provides much more information than the traditional effective permittivity function. In this paper, we extend the calculation of the dyadic Green´s function to multi-layer substrates. We show that its computation involves a simple cascaded matrix multiplication. The resulting function fully contains the substrate characteristics and, once obtained, can be used to describe the surface behavior with no further regard to the substrate´s composition.
Keywords :
Green´s function methods; surface acoustic wave devices; acoustic potential; cascaded matrix multiplication; dyadic Green´s functions; electrical charge; mechanical displacements; mechanical stresses; multi-layer SAW substrates; propagation modes; substrate characteristics; surface acoustic wave devices; surface behavior; Acoustic propagation; Acoustic waves; Anisotropic magnetoresistance; Geometry; Green´s function methods; Permittivity; Stress; Substrates; Surface acoustic wave devices; Surface acoustic waves;
fLanguage :
English
Journal_Title :
Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0885-3010
Type :
jour
DOI :
10.1109/58.895928
Filename :
895928
Link To Document :
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