DocumentCode :
804453
Title :
Derivation of COM equations using the surface impedance method
Author :
Biryukov, Sergey V. ; Martin, G. ; Polevoi, Vladimir G. ; Weihnacht, M.
Author_Institution :
Mints Radiotechnical Inst., Moscow, Russia
Volume :
42
Issue :
4
fYear :
1995
fDate :
7/1/1995 12:00:00 AM
Firstpage :
602
Lastpage :
611
Abstract :
The surface impedance method is used for the consistent derivation of coupling of modes equations which describe the interaction of SAW with a periodical system of electrodes of finite thickness. The exact analytic solution of the electrostatic problem in the presence of an arbitrary external electric field for a plane system of electrodes is applied to the calculation of the charge and electric field distributions. Mechanical perturbations are taken into account to first order of the thickness of the electrodes. As a result the scalar self-consistent equation for the electric potential of acoustic waves in the gratings is obtained. For the periodic structure this equation is reduced to the form of COM equations for slowly varying amplitudes. Analytical expressions for all coefficients of the COM equations connecting them with geometrical and material parameters are found. The NSPUDT effect can be considered. Dissipation and energy storage terms can be introduced empirically. The solution of the COM equations is represented in the form of a P matrix with elements written in a convenient form. A simple formula for calculating the location of maximum transducer frequency response is proposed, The balance of energy is considered. Some new relations among the elements of P matrix are found.<>
Keywords :
acoustic impedance; coupled mode analysis; electric impedance; surface acoustic wave transducers; COM equations; NSPUDT; P matrix; SAW; acoustic waves; charge distribution; dissipation; electric field distribution; electric potential; electrostatics; energy balance; energy storage; frequency response; gratings; mechanical perturbations; mode coupling; periodic electrode system; scalar self-consistent equation; surface impedance; transducer; Acoustic waves; Electric potential; Electrodes; Electrostatic analysis; Equations; Gratings; Impedance measurement; Joining processes; Periodic structures; Surface acoustic waves;
fLanguage :
English
Journal_Title :
Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0885-3010
Type :
jour
DOI :
10.1109/58.393103
Filename :
393103
Link To Document :
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