Abstract

Formulas are derived for decomposition of power and energy within a wave field, a modal wave field in particular, into bulk and shear parts. It is noted that the complex bulk and shear moduli must be restricted to the fourth quadrant if a harmonic time dependence e−iωt with ω≳0 is assumed. An example case with frequency-dependent transmission loss is studied. The power decomposition results turn out to be very useful for demonstrating that shear losses in the sediment form the major cause of the narrow stop bands that occur. Furthermore, these losses have a resonance character which is illustrated very clearly by showing how the bulk and shear losses are distributed within the sediment layer.

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