Wave motion and dispersion phenomena: veering, locking and strong coupling effects

The Journal of the Acoustical Society of America
Brian R Mace, Elisabetta Manconi

Abstract

The dispersion curves describe wave propagation in a structure, each branch representing a wave mode. As frequency varies the wavenumbers change and a number of dispersion phenomena may occur. This paper characterizes, analyzes, and quantifies these phenomena in general terms and illustrates them with examples. Two classes of phenomena occur. Weak coupling phenomena-veering and locking-arise when branches of the dispersion curves interact. These occur in the vicinity of the frequency at which, for undamped waveguides, the dispersion curves in the uncoupled waveguides would cross: if two dispersion curves (representing either propagating or evanescent waves) come close together as frequency increases then the curves either veer apart or lock together, forming a pair of attenuating oscillatory waves, which may later unlock into a pair of either propagating or evanescent waves. Which phenomenon occurs depends on the product of the gradients of the dispersion curves. The wave mode shapes which describe the deformation of the structure under the passage of a wave change rapidly around this critical frequency. These phenomena also occur in damped systems unless the levels of damping of the uncoupled waveguides are sufficiently differ...Continue Reading

References

May 27, 2003·The Journal of the Acoustical Society of America·Andrew N Norris
Jan 29, 2009·The Journal of the Acoustical Society of America·Elisabetta Manconi, Brian R Mace
Mar 26, 2009·Synlett : Accounts and Rapid Communications in Synthetic Organic Chemistry·David N Zalatan, J Du Bois

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Citations

Apr 9, 2014·Proceedings. Mathematical, Physical, and Engineering Sciences·Christophe Lecomte
May 13, 2014·The Journal of the Acoustical Society of America·Hao LiuInes Lopez Arteaga
Jun 9, 2014·The Journal of the Acoustical Society of America·Vijay Prakash S, Venkata R Sonti
Jun 11, 2016·Ultrasonics·Fabian Krome, Hauke Gravenkamp
Dec 14, 2018·The Journal of the Acoustical Society of America·B ErbaşG Kılıç
Jul 12, 2017·Proceedings. Mathematical, Physical, and Engineering Sciences·H NassarG L Huang

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