Closed form solutions for multistrip coupler operation including the effects of electrode resistivity

The coupling-of-modes (COM) model is applied to the analysis of multistrip couplers (MSCs). By merging the COM formalism with the classical one-dimensional symmetric/antisymmetric mode representation of the MSC, both the effects of finite finger resistance and electrode reflections are included in the modeling of the MSC. The use of the COM formalism allows closed-form solutions to be obtained for MSC operation. Using the COM model for surface acoustic wave (SAW) propagation and the symmetric/antisymmetric modeling of the MSC, solutions to MSC operation are derived for a general three-track coupler. To verify the approach, simplified solutions neglecting finger reflections, but including finger resistance, are presented for comparison with solutions by other theories.<<ETX>>

[1]  M. Onoe,et al.  Determination of Elastic and Piezoelectric Constants for Crystals in Class (3m) , 1967 .

[2]  F. G. Marshall,et al.  Theory and Design of the Surface Acoustic Wave Multistrip Coupler , 1973, IEEE Transactions on Sonics and Ultrasonics.

[3]  G. Farnell,et al.  Some Applications of a Non-Symmetrical Multistrip Coupler , 1973 .

[4]  G. Tobolka,et al.  Mixed Matrix Representation of SAW Transducers , 1979, IEEE Transactions on Sonics and Ultrasonics.

[5]  T. Thorvaldsson,et al.  Analysis of the natural single phase unidirectional SAW transducer , 1989, Proceedings., IEEE Ultrasonics Symposium,.

[6]  Supriyo Datta,et al.  First‐order reflection coefficient of surface acoustic waves from thin‐strip overlays , 1979 .

[7]  K. M. Lakin.  Electrode Resistance Effects in Interdigital Transducers , 1974 .

[8]  B. Auld,et al.  Acoustic fields and waves in solids , 1973 .

[9]  H. Haus,et al.  Analysis of Metal-Strip SAW Gratings and Transducers , 1985, IEEE Transactions on Sonics and Ultrasonics.

[10]  Perturbation theory for the surface-wave multistrip coupler , 1973 .

[11]  P. V. Wright,et al.  A new generalized modeling of SAW transducers and gratings , 1989, Proceedings of the 43rd Annual Symposium on Frequency Control.

[12]  E.G.S. Paige,et al.  Novel acoustic-surface-wave directional coupler with diverse applications , 1971 .

[13]  M. Redwood,et al.  Analysis of Generation and Detection of Surface and Bulk Acoustic Waves by Interdigital Transducers , 1977, IEEE Transactions on Sonics and Ultrasonics.

[14]  Robert Weigel,et al.  Efficient design tool for SAW-resonator filters , 1989, Proceedings., IEEE Ultrasonics Symposium,.

[15]  Scattering parameters of surface-wave multistrip directional couplers: a field approach , 1973 .

[16]  C. S. Hartmann,et al.  A generalized impulse response model for SAW transducers including effects of electrode reflections , 1988, IEEE 1988 Ultrasonics Symposium Proceedings..

[17]  K. A. Ingebrigtsen.  A Normal Mode Representation of Surface Wave Multistrip Couplers , 1973 .

[18]  S. Letcher,et al.  Surface acoustic wave devices , 1986, IEEE Journal of Oceanic Engineering.

[19]  Donald C. Malocha,et al.  A coupling-of-modes analysis of chirped transducers containing reflective electrode geometries , 1989, Proceedings., IEEE Ultrasonics Symposium,.

[20]  S. Yoshikawa,et al.  Aluminum Evaporation Conditions for SAW Interdigital Transducers , 1980, IEEE Transactions on Sonics and Ultrasonics.

[21]  Supriyo Datta,et al.  An analytical theory for the scattering of surface acoustic waves by a single electrode in a periodic array on a piezoelectric substrate , 1980 .

[22]  B.J. Hunsinger,et al.  Scattering Matrix Analysis of Surface Acoustic Wave Reflectors and Transducers , 1981, IEEE Transactions on Sonics and Ultrasonics.

[23]  C. Maerfeld,et al.  Resistive Losses in Acoustic Surface Wave Muitistrip Couplers , 1975, IEEE Transactions on Sonics and Ultrasonics.