Finite difference time domain methods for piezoelectric crystals

Author

Chagla, Farid ; Smith, Peter M.

Author_Institution

Dept. of Electr. & Comput. Eng., McMaster Univ., Hamilton, Ont.

Volume

53

Issue

10

fYear

2006

fDate

10/1/2006 12:00:00 AM

Firstpage

1895

Lastpage

1901

Abstract

The numerical simulation of acoustic wave propagation through piezoelectric crystals using the finite-difference time-domain (FDTD) method is introduced. The update equations for the velocity and stress fields are derived and applied to the propagation of ultrasonic waves in three substrates. The concept of the perfectly matched layer (PML), first introduced for the simulation of electromagnetic waves, is extended to the simulation of mechanical waves. The technique is shown to be effective for some crystals, but the PML is found to exhibit numerical instabilities for others

Keywords

finite difference time-domain analysis; piezoelectricity; ultrasonic propagation; ultrasonic velocity; electromagnetic wave simulation; finite-difference time-domain method; mechanical wave simulation; perfectly matched layer; piezoelectric crystals; stress fields; ultrasonic wave propagation; velocity; Acoustic propagation; Acoustic waves; Crystals; Electromagnetic propagation; Equations; Finite difference methods; Numerical simulation; Perfectly matched layers; Stress; Time domain analysis;

fLanguage

English

Journal_Title

Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on

Publisher

ieee

ISSN

0885-3010

Type

jour

DOI

10.1109/TUFFC.2006.122

Filename

4012874