Surface acoustic wave scattering from steps, grooves, and strips on piezoelectric substrates

The paper studies, by the finite element method, the reflection of surface acoustic waves from single obstacles of regular shapes on the surface of piezoelectric materials. The so-called perfectly matched layer is used to truncate the computational domain. The following types of imperfections are considered: single steps, grooves, and projections, as well as metallic strips overlaying the substrate or inset into it. The absolute values and the phases of the reflection coefficients are computed for YZ and 128°YX LiNbO3 substrates as functions of the height-to-wavelength and the width-to-wavelength ratios. In addition, the reflectivity of gratings comprising a finite number of grooves or electrodes is computed and compared with the analytic estimations based on the coupling-of-modes theory.

[1]  K. Hashimoto,et al.  Analysis of Surface Acoustic Waves Obliquely Propagating under Metallic Gratings with Finite Thickness , 1996 .

[2]  M. Weihnacht,et al.  Acoustic waves guided by a fluid layer on a piezoelectric substrate , 2008 .

[3]  H. Skeie,et al.  A method for analyzing waves in structures consisting of metal strips on dispersive media , 1973 .

[4]  A. Chopra,et al.  Perfectly matched layers for time-harmonic elastodynamics of unbounded domains : Theory and finite-element implementation , 2003 .

[5]  K. Hashimoto Surface Acoustic Wave Devices in Telecommunications , 2000 .

[6]  H. Schmidt,et al.  Rayleigh wave reflection from single surface imperfections on isotropic substrates , 2009 .

[7]  T. Omori,et al.  8E-6 Extended FEM/SDA Software for Characterising Surface Acoustic Wave Propagation in Multi-Layered Structures , 2007, 2007 IEEE Ultrasonics Symposium Proceedings.

[8]  Quasi-static analysis of floating electrode unidirectional SAW transducers , 2001, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[9]  R.C. Peach A General Approach to the Electrostatic Problem of the SAW Interdigital Transducer , 1981, IEEE Transactions on Sonics and Ultrasonics.

[10]  M. Salomaa,et al.  Phases of the SAW reflection and transmission coefficients for short reflectors on 128/spl deg/ LiNbO/sub 3/ , 2004, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[11]  David Morgan,et al.  Surface Acoustic Wave Filters: With Applications to Electronic Communications and Signal Processing , 2007 .

[12]  H.I. Smith,et al.  The Use of Surface-Elastic-Wave Reflection Gratings in Large Time-Bandwidth Pulse-Compression Filters , 1973, IEEE Transactions on Sonics and Ultrasonics.

[13]  S.V. Biryukov,et al.  The electrostatic problem for the SAW interdigital transducers in an external electric field. II. Periodic structures , 1996, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[14]  S. Harma,et al.  Feasibility of ultra-wideband SAW RFID tags meeting FCC rules , 2009, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[15]  K. Hashimoto,et al.  Full-wave analysis of piezoelectric boundary waves propagating along metallic grating sandwiched in between two semi-infinite layers , 2009, 2008 IEEE International Frequency Control Symposium.

[16]  P. Ventura,et al.  Combined FEM and Green's function analysis of periodic SAW structure, application to the calculation of reflection and scattering parameters , 2001, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[17]  V. Laude,et al.  A mixed finite element/boundary element approach to simulate complex guided elastic wave periodic transducers , 2009 .

[18]  Full-wave analysis of piezoelectric boundary waves propagating along metallic grating sandwiched between two semi-infinite layers , 2008, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[19]  S.V. Biryukov,et al.  The electrostatic problem for the SAW interdigital transducers in an external electric field. I. A general solution for a limited number of electrodes , 1996, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[20]  S. Biryukov,et al.  Analogs of Brewster's angles for surface acoustic waves: the dependence on the strip shape , 2007, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[21]  V. Krylov,et al.  Surface acoustic waves in inhomogeneous media , 1995 .

[22]  Marc Solal,et al.  Numerical methods for SAW propagation characterization , 1998, 1998 IEEE Ultrasonics Symposium. Proceedings (Cat. No. 98CH36102).

[23]  E. Danicki,et al.  Spectral theory for IDTs , 1994, 1994 Proceedings of IEEE Ultrasonics Symposium.

[24]  M. M. Salomaa,et al.  Short reflectors operating at the fundamental and second harmonics on 128 degree LiNbO3. , 2004, IEEE transactions on ultrasonics, ferroelectrics, and frequency control.

[25]  Clemens Ruppel,et al.  Improved material constants for LiNbO/sub 3/ and LiTaO/sub 3/ , 1990, IEEE Symposium on Ultrasonics.

[26]  Jean-Pierre Berenger,et al.  A perfectly matched layer for the absorption of electromagnetic waves , 1994 .

[27]  V. Laude,et al.  Slowness curves and characteristics of surface acoustic waves propagating obliquely in periodic finite-thickness electrode gratings , 2003 .

[28]  M. B. Schulz,et al.  Reflective Surface Acoustic Wave Delay Line Material Parameters , 1973 .

[29]  SAW Reflection from Conducting Strips on LiNbO3 , 1979, IEEE Transactions on Sonics and Ultrasonics.

[30]  M. Salomaa,et al.  Short reflectors operating at the fundamental and second harmonics on 128/spl deg/ LiNbO/sub 3/ , 2004, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

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

[32]  S. Biryukov,et al.  The impedance method in the theory of surface acoustic waves in periodic structures , 2004 .

[33]  G. W. Farnell,et al.  Finite Difference Analysis of Rayleigh Wave Scattering at Vertical Discontinuities , 1973 .