Abstract
It is now well-known that the homogeneous plane wave has the form u = Aej(k·x−ωt), where the wave amplitude A and the wave vector k are real. When A and k become complex numbers, as happens for the linear and dissipative (visco-elastic) system, A decreases with propagating distance and u is called an inhomogeneous wave [24]. Although the inhomogeneous wave is defined in a strict sense for two- or three-dimensional media, the definition can be extended to the one-dimensional situation.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 2008 Springer-Verlag London Limited
About this chapter
Cite this chapter
(2008). Wave Propagation in One-dimensional Inhomogeneous Structures. In: Spectral Finite Element Method. Computational Fluid and Solid Mechanics. Springer, London. https://doi.org/10.1007/978-1-84628-356-7_5
Download citation
DOI: https://doi.org/10.1007/978-1-84628-356-7_5
Publisher Name: Springer, London
Print ISBN: 978-1-84628-355-0
Online ISBN: 978-1-84628-356-7
eBook Packages: EngineeringEngineering (R0)