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Related Experiment Videos

Harmonic admittance and dispersion equations--the theorem.

Viktor P Plessky1, Sergey V Biryukov, Julius Koskela

  • 1Thales Microsonics, SAW Design Bureau, Neuchâtel, Switzerland. vplessky-tmx@bluewin.ch

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
|May 7, 2002
PubMed
Summary

Harmonic admittance analysis of surface acoustic waves (SAWs) in periodic electrodes reveals a direct relationship between system eigen-modes and admittance. This method simplifies calculating SAW propagation and excitation without solving complex equations.

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Area of Science:

  • Physics
  • Materials Science
  • Electrical Engineering

Background:

  • Harmonic admittance is crucial for analyzing surface acoustic waves (SAWs) in periodic electrode arrays.
  • Dispersion relationships for open- and short-circuited systems are linked to the zeros and poles of harmonic admittance, respectively.

Purpose of the Study:

  • To demonstrate a strict reverse relationship between harmonic admittance and system eigen-modes.
  • To present a method for calculating harmonic admittance as a ratio of determinants derived from open- and short-circuited system eigen-modes.

Main Methods:

  • Expressing harmonic admittance as a ratio of two determinants.
  • Constructing determinants based on the eigen-modes of open- and short-circuited systems.
  • Reproducing and detailing Biryukov's theorem on the admittance-eigenmode connection.

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Main Results:

  • Harmonic admittance can be directly calculated from determinants representing system eigen-modes, bypassing the need to solve complex equations.
  • The study provides examples of calculations using this theorem.
  • Calculated results are compared with experimentally measured admittance curves.

Conclusions:

  • A rigorous mathematical framework connects harmonic admittance to the eigen-modes of periodic electrode systems.
  • This approach offers a simplified and direct method for analyzing SAW excitation and propagation.
  • The findings validate the theoretical model through experimental comparison.