As a critical theoretical advance, Understanding Plane Waves
discusses the acoustic Goos-HAnchen effect. The important
applications of this effect are discussed, including plane wave
propagating inside transversely isotropic elastic-solids,
reflection/refraction at interface between two anisotropic rocks,
and acoustical applications to petroleum logging and seismic
exploration. Next, the authors explore a newly developed
acoustic-measurement system with emphasis on measurement process
and recent improvements that make an acoustic-measurement more
accurate. Three approaches which are used to analyze the evolution
of the plane longitudinal and transverse waves that are propagated
in a nonlinear hyperelastic medium are discussed: the method of
successive approximations, the method of slowly varying amplitudes
and the method of restriction on the displacement gradient. Lastly,
the subject of relativistic quantum particles interacting with
classical plane wave fields is examined from the standpoint of
space-time symmetries which have been found to be encoded in the
solutions of relativistic equations.
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