Rayleigh Wave Non-Linear Components

  • C. Maerfeld
Part of the Springer Series on Wave Phenomena book series (SSWAV, volume 2)


The analysis of non-linear phenomena has never been ignored by physicists or engineers in acoustics, but for most of them non-linear effects become a way of extending linear phenomena beyond the strict limits of the linear theory itself. In this vein, large signal properties, harmonic generators and, as in the previous paper, asynchronism in oscillators have been studied for a long time and undoubtedly will be the subject of yet more work. In cases such as these,components are basically linear and non-linear effects appear largely as a limitation of the field of application.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    R.N. Thurston: “Waves in Solids”, In. Handbuch der Physik, Vol. VI, a. 4 (1974)Google Scholar
  2. 2.
    D.F. Nelson: “Theory of Non-Linear, Electroacoustics of Dielectric, Piezoelectric and Pyroelectric Crystals”, J.A.S.A. 63, p. 1738 (1978)MATHGoogle Scholar
  3. 3.
    H.F. Tiersten: “On the Non-Linear Equation of Thermo-Electro-Elasticity”, Int. J. Eng. Sci. 9, pp. 587–604 (1971)MathSciNetMATHCrossRefGoogle Scholar
  4. 4.
    P.J. Westervelt: “Parametric Acoustic Array”, J.A.S.A. 35, 4 (1963)Google Scholar
  5. 5.
    E.G.H. Lean, C.G. Powell & L. Kumn: “Acoustic Surface Wave Mixing on X Quartz”, A.P.L. Vol. 15, No. 1, p. 10 (July 1969)CrossRefGoogle Scholar
  6. 6.
    L.O. Svaasand: “Interaction between Elastic Surface Waves in Piezo- electric Materials”, A.P.L. Vol. 15, No. 9 (Nov. 1969)Google Scholar
  7. 7.
    C.F. Quate & R.B. Thompson: “Convolution and Correlation in Real Time with Non-Linear Acoustics”, A.P.L. Vol. 16, No. 2 (June 1970)Google Scholar
  8. 8.
    W.C. Wang: Joint Services Technical Advisory Committee Meeting, Polytechnic Institute of Brooklyn, Brooklyn N.Y. (1966), unpublishedGoogle Scholar
  9. 9.
    W.C. Wang: “Signal Generation Via Non-Linear Interaction with Oppositely Directed Sonic Waves in Piezoelectric Semiconductors”, Appl. Phys. Letters 18, p. 337 (1971)ADSCrossRefGoogle Scholar
  10. 10.
    M. Lukkala & G.S. Kino: “Convolution and Time Inversion using Parametric Interaction of Acoustic Surface Waves”, A.P.L. Vol. 18, No. 9 (May 1971)Google Scholar
  11. 11.
    G.S. Kino, Sludvier, H.J. Shan, W.R. Shreve, J.M. White & D.K. Winslow: “Signal Processing by Parametric Interaction in Delay Lines Devices”, I.E. E.E. Trans. on MTT 25, pp. 244–255 (1973)CrossRefGoogle Scholar
  12. 12.
    T.C. Lim, E.A. Kraut & R.B. Thomson: “Non-Linear Materials for Acoustic Surface Wave Convolver”, A.P.L. Vol. 20, No. 3 (Feb. 1972)Google Scholar
  13. 13.
    P.E. Lagasse, I.M. Mason & E.A. Ash: “Acoustic Surface. Waveguides Analysis and Assessments”, I. E.E.E. Trans. on MTT 21, no. 4 (April 1973)Google Scholar
  14. 14.
    R.A. Zakarevicius, E.A. Ash & I.M. Mason: “Convolution and Imaging in Acoustic Surface Wave Thin Film Guides”, Elect. Letters, Vol. 9, no. 16 (April 1973).Google Scholar
  15. 15.
    P.H. Defranould & C. Maerfeld: “A SAW Planar Piezoelectric Convolver”, Proceedings of the I.E.E.E., Vol. 64, no. 5 (May 1976)Google Scholar
  16. 16.
    R.D. Haggarty, E.A. Palo & W.M. Bridge: “SAW Processors vs. Computing Technologies for Spread Spectrum Data Link Applications”, Proc. of I.E.E.E. Ultrasonics Symposium, pp. 567–572 (1978)Google Scholar
  17. 17.
    D.P. Morgan: “General Analysis of Bilinear SAW Convolvers”, Elect. Letters, Vol. 17, No. 7 (April 1981)Google Scholar
  18. 18.
    M.D. Motz, J. Chambers & I.M. Mason: “Suppression of Spurious Signal in Degenerate SAW Convolvers”, Proc. of 1973 Ultrasonic Symposium, pp. 152–154Google Scholar
  19. 19.
    I. Yao: “High Performance Elastic Convolver with Parabolic Horns”, Proc. of 1980 Ultrasonic SymposiumGoogle Scholar
  20. 20.
    H. Gautier & C. Maerfeld: “Wideband Elastic Convolvers”, Proc. of 1980 Ultrasonic SymposiumGoogle Scholar
  21. 21.
    H.P. Grassl & R. Veith: “High Performance SAW Convolvers Characterised by Two-Dimensional Frequency Domain Measurements”, Proc. of 1982 Ultrasonic SymposiumGoogle Scholar
  22. 22.
    D.R. Selviah, D.H. Warne & D.P. Morgan: “Spatial Uniformity Measurement of SAW Convolvers”, Proc. of the I.E.E.E. 1980 Ultrasonic SymposiumGoogle Scholar
  23. 23.
    E.L. Adler & J.H. Cafarella: “Design Criteria for Surface Acoustic Wave Convolvers”, Proc. of the I.E.E.E., Vol. 69, No. 3 (March 1981)Google Scholar
  24. 24.
    W.R. Smith: “Broadband, Amplitude and Phase Compensating Transducers for Monolithic Convolvers”, Proc. of the I.E.E.E. 1980 Ultrasonic SymposiumGoogle Scholar
  25. 25.
    M. Planat, G. Vanderborck, H. Gautier & C. Maerfeld: “A finite Element Analysis of the Piezoelectric Waveguide Convolver”, to be publishedGoogle Scholar
  26. 26.
    H. Gautier & C. Maerfeld: “Patents Fr. 80, 11, 225, May 80, U.S. 4, 388, 599”Google Scholar
  27. 27.
    A. Ronnekleiv: “Diffraction Compensated SAW Multistrip Beam Compressors”, Proc. of the I.E.E.E. 1983 SymposiumGoogle Scholar
  28. 28.
    D.P. Morgan, D.H. Warne, P.N. Naish & D.R. Slviah: “Monolithic SAW Convolvers using Chirp Transducers”, Proc. of the I.E.E.E. 1981 SymposiumGoogle Scholar
  29. 29.
    J.B. Green & G.S. Kino: “SAW Convolvers using Focussed Interdigital Transducers”, I. E.E.E. Trans. on Sonics and Ulstrasonics, Vol. 30 No. 1 (Jan. 1983)Google Scholar
  30. 30.
    H.P. Grassi & H. Eugan: “Small Aperture Focussing Chirp Transducers vs Diffraction Compensated Beam Compressors in Elastic Convolvers”, accepted for publication in I.E.E.E. Trans. on Sonics and UltrasonicsGoogle Scholar
  31. 31.
    H. Gautier: TH-CSF Internal ReportGoogle Scholar
  32. 32.
    R.C. Dixon: “Spread Spectrum System”, Willey (1976)Google Scholar
  33. 33.
    D. Brodtkorb & J.E. Laynor: “Fast Synchronisation in a Spread Spectrum System Based on Acoustoelectric Convolvers”, Proc. of the I.E.E.E. 1978 Ultrasonic SymposiumGoogle Scholar
  34. 34.
    H. Gautier: “Application of SAW Convolvers and Correlations”, Proc. of the 36th Annual Frequency Control Symposium (1982)Google Scholar
  35. 35.
    H. Gautier & P. Tournois: “Very Fast Signal Processors as a Result of the Coupling of SAW and Digital Technologies”, I. E.E.E. Trans. Microwaves T and T - MTT 29 (1981)Google Scholar
  36. 36.
    R.D. Colvin: “Surface Acoustic Wave Non-Linear Interactions in Lithium Niobate”, Rome Air Development Centre in House Report No. RADCTR 83–9, (Jan. 1983)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • C. Maerfeld
    • 1
  1. 1.THOMSON-CSF DASM/DTASValbonne CedexFrance

Personalised recommendations