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This work builds upon frequency domain wave control concepts.
Numerical simulation shows that Parker instability in the high frequency domain (wave number m > 20) may accelerate magnetic fibrils to emerge into the solar atmosphere at supersonic speed.
Given local frequency domain wave data, the Numerical Micro-Local Analysis (NMLA) method (Benamou et al., 2004) [5] and its recent improved version (Benamou et al., 2011) [4] gives a pointwise numerical approximation of the number of rays, their slowness vectors and corresponding wavefront curvatures.
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Since the calibration procedure is implemented in the frequency domain, waves must be transformed using the fast Fourier transform (FFT).
The frequency-domain wave equation is called the Helmholtz's equation which gives us an underwater sound propagation model.
Recently, a novel error representation using (unconventional) pseudo-dual problems for goal-oriented adaptivity in the context of frequency-domain wave-propagation problems has been developed.
In terms of the equations of motion in the frequency domain, the wave velocities and the attenuations for three P waves and one S wave are calculated.
In the frequency domain, surface wave analysis usually requires many fewer data samples than in the time domain.
Consider a 2D Fourier transform pair of f(x) and f ̂ , where x= x1x2), ω= ω1ω2)are the coordinates in spatial domain and frequency domain, then wave atoms can be defined as φ μ (x), where μ=(j m n)=(j m1m2n1n2) is a label representing the scale, direction and location of the corresponding wave atom in 2-D situation.
One can convert the frequency domain into a wave vector domain using Taylor's frozen-in hypothesis.
The digital filters are designed in the frequency domain using a wave decomposition approach and reconstructed in the time domain as FIR filters in this paper.
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