A useful analytical description of the coefficients in an inhomogeneous wave decomposition of a symmetrical bounded beam.
If a bounded beam is described using a superposition of infinite inhomogeneous waves, the values of the coefficients attributed to each inhomogeneous wave are found using a classical optimization procedure, whence it is impossible to describe the obtained values analytically. In this paper, we develop a new and easy to apply straightforward analytical method to find the appropriate values of the sought coefficients. Supplementary to its analytical and straightforward nature, the method proves to reduce the inherent instabilities found in the inhomogeneous wave decomposition.
Declercq
Nico F
NF
Soete Laboratory, Department of Mechanical Construction and Production, Faculty of Engineering, Ghent University, Sint Pietersnieuwstraat 41, 9000 Gent, Belgium. nicof.declercq@ugent.be
Degrieck
Joris
J
Leroy
Oswald
O
D008962:Models, Theoretical; D014465:Ultrasonics