Synopses & Reviews
Wave propagation and scattering are among the most fundamental processes that we use to comprehend the world around us. While these processes are often very complex, one way to begin to understand them is to study wave propagation in the linear approximation. This is a book describing such propagation using, as a context, the equations of elasticity. Two unifying themes are used. The first is that an understanding of plane wave interactions is fundamental to understanding more complex wave interactions. The second is that waves are best understood in an asymptotic approximation where they are free of the complications of their excitation and are governed primarily by their propagation environments. The topics covered include reflection, refraction, the propagation of interfacial waves, integral representations, radiation and diffraction, and propagation in closed and open waveguides.
Review
"Abstract concepts are carefully explained and supported with a wealth of examples and illustrations and a wonderful collection of problems, a few of which are elementary enough for any beginner." CHOICE"This is a book to be read with pad and pencil in hand. Although the text is clear, the author lets the mathematics do most of the speaking." EOS"Abstract concepts are carefully explained and supported with a wealth of examples and illustrations and a wonderful collection of problems, a few of which are elementary enough for any beginner." CHOICE
Synopsis
An advanced level textbook on wave propagation and scattering directed at applied mathematicians, seismologists, and engineers.
Synopsis
Wave propagation and scattering are often very complex processes. One way to begin to understand them is to study wave propagation in the linear approximation. This is a book describing such propagation using, as a context, the equations of elasticity. Linear Elastic Waves is an advanced level textbook directed at applied mathematicians, seismologists, and engineers.