Author_Institution :
IPPT, Polish Acad. of Sci., Warsaw, Poland
Abstract :
A planar harmonic Green´s matrix function is widely exploited in theory of SAW devices. In many practical cases, the papal approximation to this function is sufficient for analysis. Here, a number of numerical codes are presented in MATLAB for fundamental analysis of surface acoustic waves in piezoelectric crystals, including: derivation of Stroh matrix for given material and Euler angles, visualization of slowness curves, bulk wave property, and complex roots of characteristic polynomial of corresponding boundary-value problem, evaluation of bulk wave cut-offs, plotting Green´s function dependent on a wave-number, evaluation of SAW wave-number, and finally evaluation of the papal approximation to a planar harmonic Green´s matrix function together with its immediate application in searching of high-velocity pseudo-surface waves. Use of the code is as easy as a mouse click.
Keywords :
Green´s function methods; boundary-value problems; electrical engineering computing; function approximation; physics computing; polynomial matrices; surface acoustic wave devices; surface acoustic waves; Euler angles; MATLAB code; SAW device theory; Stroh matrix; boundary-value problem; bulk wave cut-offs; bulk wave property; characteristic polynomial; complex roots; fundamental analysis; high-velocity pseudo-surface waves; leaky waves; numerical codes; piezoelectric crystals; planar harmonic Green´s matrix function; slowness curves visualisation; surface acoustic waves; wave-number dependent Green´s function; Acoustic materials; Acoustic waves; Crystalline materials; Crystals; Harmonic analysis; MATLAB; Piezoelectric materials; Sawing machines; Surface acoustic wave devices; Transmission line matrix methods;