Sulfone group (S=O, symmetric in PSU)
wave number (1150.00cm-1) shifted its peaks to 1128.05cm-1, 1121.41cm-1, and 1124.57cm-1, respectively, due to vibrational stretching.
In the 2D study in [37], different shape food samples could be classified as thin ([N.sub.w] [less than or equal to] 0.1), intermediate ([N.sub.w] > 0.1, [N.sub.p] < 3), and thick ([N.sub.p] [greater than or equal to] 3) size according to samples'
wave number and penetration number on the cross-section plane.
From [25-28] and the references it can be found that, due to the so-called pollution effect [29], to compute approximate solutions of the Helmholtz equation for high
wave numbers by the standard finite element method (FEM) is unreliable, so, in (9), the
wave number should be not high.
i.e., the probability to find a
wave number k in the asymptotic transmitted wave packet is the same as in the initial state, which is as expected, since after a long enough time the initial wave packet will be transmitted with probability unit, as mentioned earlier.
In two-layer fluid system, the time-harmonic waves of a particular mode can propagate with two-different
wave numbers: waves with lower
wave number propagate in the upper layer and the waves with higher
wave number propagate in the lower layer.
The
wave number [k.sub.i] of the ith wave and the relevant [[omega].sub.i] are as follows:
Two dispersion relations (9) and (25) are transcendent equations in which the wave frequency, [omega], is a complex quantity: Re([omega]) + Im([omega]), while the axial
wave number, [k.sub.z], is a real variable.
Normally, [k*.sub.0] is referred to as the absolute
wave number and [[omega]*.sub.0i] the absolute growth rate.
Where [[??].sub.i] abd [[??].sub.s] represent the combined vectors of incident and scattered
wave number, respectively; R is the distance from the observation to the facet centers; k is the electromagnetic
wave number; p and q are the polarization of the incident and scattered wave; [S.sub.pq] denotes the scattering amplitude that can be expressed as