The resulting

complex wave propagation causes destructive interference in seismic records.

where [G.sup.R*.sub.v] is the complex shear modulus of the bedrock half-space in the vertical direction, [[psi].sup.R.sub.SH] is the incident angle of SH waves in the bedrock half-space, and [c.sup.R*.sub.s] is the

complex wave velocity of SH waves of the bedrock transmitting in the incident direction.

where [k.sub.tx], [k.sub.ty] and [k.sub.tz] are the

complex wave numbers in the directions of x, y and z, respectively.

This can be similarly carried out for subtrees of

complex wave networks.

where the scalar components [u.sub.x], [u.sub.y], [[sigma].sub.xx] and [[sigma].sub.xy] represent the displacement and stress variation only along the y coordinate, t is time, [omega] is angular frequency and [k.sub.n] is the

complex wave number of the mode n.

The

complex wave mode implies that the phase constant and the attenuation constant of the propagation constant are both nonzero.

There they saw single, straight waves interacting with each other to form X- and Y-shaped waves, as well as more

complex wave structures, all predicted by mathematical equations, Ablowitz said.

There they saw single, straight waves interacting with each other to form X- and Y-shaped waves as well as more

complex wave structures, all predicted by mathematical equations, said Ablowitz.

The recorded holograms have been combined to gain the

complex wave field that was reconstructed numerically by using the convolution approach.

This feature becomes evident in a range of different phenomena, from slow changes in the spectral composition of

complex wave fields to almost explosive formation of unexpectedly high and steep wave humps in nonlinear interactions of solitons.

We've got that

complex wave pattern that comes from everywhere--south, east, sometimes from the north.

The

complex wave number can then be related to the loss factor using