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Tytuł artykułu

On electrostatics of finite planar system of strips applied in surface acoustic wave interdigital transducers

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Planar systems of strips placed on a piezoelectric body are exploited in interdigital transducers for generation, detection and reflection of surface waves. The spatial field distribution in the plane of strips exhibits square-root singularities at the strips edges. In effect, the evaluation of charge spatial spectrum by direct application of the Fourier transformation to the spatial charge distribution never yields satisfactory accuracy. This is due to the strong dependence of the spectrum on the distribution details over the entire system. A new method is proposed here for direct evaluation of the spatial spectrum; the spatial distribution is obtained from it by the inverse Fourier transformation for certain auxiliary purposes and final verification of numerical results. The solution is constructed as a linear combination of the template functions, evaluated in spectral domain and satisfying the electric boundary conditions on the strips. The same functions are applied in the solution of the complementary problem of strips embedded in a preexisting electric field, assumed to be spatially variable (harmonic). In this case the strip total charge is evaluated dependent on the preexisting ("incident") field, as well as the Bloch harmonics of the "scattered" field in a wide spectral domain. Particular attention is dedicated to the numerical problems arising in evaluation of the template functions and the final charge spectrum. The computed examples show typical computational errors and how they were corrected by improving the numerical procedures.
Rocznik
Strony
175--193
Opis fizyczny
Bibliogr. 19 poz., wykr.
Twórcy
  • Institute of Fundamental Technological Research, Polish Academy of Sciences, Świętokrzyska 21, 00-049 Warszawa
  • Institute of Fundamental Technological Research, Polish Academy of Sciences, Świętokrzyska 21, 00-049 Warszawa
Bibliografia
  • 1. N. G. GREEN, A. RAMOS, H. MORGAN, Numerical solution of the dielectro'phoretic and travelling wave forces for interdigitated electrode arrays using the finite element method, Journal of Electrostatics 56, 235-254, 2002.
  • 2. D. P. MORGAN, Surface acoustic wave devices, first ed., Elsevier Science Publishers B. V., Amsterdam 1991.
  • 3. Y. TASINKEVYCH, Numerical efficiency of interdigital transducers charge spatial spectrum evaluation methods, PhD Thesis, Polish Acad. of Sci., IFTR, Warsaw 2004.
  • 4. Y. TASINKEVYCH, E. DANICKI, Numerical efficiency of IDT charge spatial spectrum, evaluation methods, 2002 IEEE Ultras. Symp. Proc., 287-290, 2002.
  • 5. E. DANICKI, Strip electrostatics - spectral approach, 1996 IEEE Ultras. Symp. Proc., 193-196, 1996.
  • 6. E.J. DANICKI, SAW Propagation in complex periodic systems of strips, presented on 2004 IEEE Ultrasonics Symposium 2004.
  • 7. P. MOON, D. E. SPENCER, Field theory for engineers, D. Van Nostrand Company Inc., Princeton 1961.
  • 8. W. H. PRESS, S. A. TEUKOLSKY, W. T. VETTERLING, B. P. FLANNERY, Numerical Recipes in C. The art of scientific computing, second ed., Cambridge University Press, 1992.
  • 9. E. BAUSK, E. KOLOSOVSKY, A. KOZLOV, L. SOLIE, Optimization of broadband uniform beam profile interdigital transducers weighted by assignment of electrode polarities, IEEE Trans., UFFC- 49, 1-10, 2002.
  • 10. E.J. DANICKI, Electrostatics of interdigital transducers, IEEE Trans., UFFC-51, 4, 444-452, 2004.
  • 11. A.ERDELYI, W. MAGNUS, F. OBERHETTINGER, F.G. TRICOMI, Higher Transcendental Functions, vol. I, McGraw Hill, New York 1953.
  • 12. E. DANICKI, Green's function for anisotropic dielectric halfspace, IEEE Trans., UFFC-35, p. 643, 1988.
  • 13. J. BOERSMA, E. DANICKI, On the solution to an integral equation arising in potential problem for circular and elliptic disks, SIAM J. Appl. Math., 53, 4, 931-941, 1993.
  • 14. E.J. DANICKI, Scattering by periodic cracks and theory of comb transducers, Wave Motion, 35, 355-370, 2002.
  • 15. E. DANICKI, B. LANGLI, K. BL0TEJK/BR, Spectral theory of EM scattering by periodic strips, IEEE Trans., AP-43, 97-104, 1995.
  • 16. B.P. ABBOTT, C.S. HARTMANN, An efficient evaluation of the electrostatic field in IDTs with periodic electrode sequences, 1993 IEEE Ultras. Symp. Proc., 157-160, 1993.
  • 17. S.V. BIRYUKOV, V.G. POLEVOI, General approach to the electrostatic problem of the IDT in an external electric field, 1997 IEEE Ultras. Symp. Proc., 225-228, 1997.
  • 18. R.C. PEACH, A general approach to the electrostatic problem of the SAW interdigital transducer, IEEE Trans., SU-28, 96-105, 1981.
  • 19. E. DANICKI et al, Nonlinear dispersive IDTs for wideband SAW filters, MIKON'96 Conf. Proc., vol. 1, 103-107, 1996.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0008-0003
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