Title :
General analytical scheme for determining the characteristic caustic points in phonon focusing patterns of cubic crystals
Author_Institution :
Ostfold Univ. Coll., Halden
Abstract :
Phonon focusing patterns are dependent on the existence of concave/saddle regions and acoustic axes in the slowness surface. The main feature of the focusing patterns in cubic crystals can be characterized by the cuspidal and swallowtail points in the symmetry planes. By applying the Stroh formalism, these points are investigated in relation to degeneracies in the Stroh eigenvalue equation. Explicit expressions for these points are derived.
Keywords :
acoustic wave propagation; anisotropic media; eigenvalues and eigenfunctions; phononic crystals; Stroh eigenvalue equation; Stroh formalism; acoustic axis; acoustic wave propagation; anisotropic media; concave-saddle region; cubic crystal; cuspidal point; phonon focusing pattern; swallowtail point; Crystals; Educational institutions; Eigenvalues and eigenfunctions; Equations; Packaging; Pattern analysis; Phonons; Steady-state; Surface acoustic waves; Surface waves; caustic point; cubic crystals; phonon focusing;
Conference_Titel :
Ultrasonics Symposium, 2008. IUS 2008. IEEE
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-2428-3
Electronic_ISBN :
978-1-4244-2480-1
DOI :
10.1109/ULTSYM.2008.0063
