Ultrasound transmission through time-varying phononic crystals

Authors

  • Derek W. Wright Institute of Biomaterials and Biomedical Engineering, University of Toronto, 164 College St., M5S3G9 ON, Canada
  • Richard S.C. Cobbold Institute of Biomaterials and Biomedical Engineering, University of Toronto, 164 College St., M5S3G9 ON, Canada

Keywords:

Acoustic properties, Acoustic wave propagation, Acoustic waves, Acoustics, Crystal atomic structure, Crystallography, Elastic waves, Gallium alloys, Numerical analysis, Photonic crystals, Powders, Semiconductor materials, Time varying systems, Underwater acoustics, Wave propagation, 1-D photonic crystals, Alternating layers, Controlling mechanisms, Corrugated tubes, Exact solutions, Execution times, FDTD simulations, Function of times, Gap edges, Incident waves, Material parameters, Material properties, Orders of magnitudes, Phononic crystals, Time varying, Transmission matrix methods

Abstract

The acoustic properties of a photonic crystal is controlled by changing its material properties as a function of time, which affects the acoustic wave scattering within the crystal. An 1D transmission matrix method (TMM) is used to modulate the incident waves within a time-varying photonic crystal at every scattering interface. Acoustic wave propagation within a corrugated tube waveguide is analogous to acoustic wave propagation with a 1D photonic crystal consisting of alternating layers of differing media. The time varying-TMM (TV-TMM) simulation execution times are four to five orders of magnitude faster than the FDTD simulations used for comparison and provide exact solutions at the frequencies of interest. The shapes of the band-gap and band-gap edges are altered, which arises the possibility of changing the band-gap characteristics using material parameter variation as the controlling mechanism.

Additional Files

Published

2008-09-01

How to Cite

1.
Wright DW, Cobbold RS. Ultrasound transmission through time-varying phononic crystals. Canadian Acoustics [Internet]. 2008 Sep. 1 [cited 2026 May 15];36(3):44-5. Available from: https://jcaa.caa-aca.ca/index.php/jcaa/article/view/2029

Issue

Vol. 36 No. 3 (2008)

Section

Proceedings of the Acoustics Week in Canada

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