Journal ArticleDOI
The Fourier Transform and Its Applications
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This article is published in American Journal of Physics.The article was published on 1966-08-01. It has received 2834 citations till now. The article focuses on the topics: Fourier transform.read more
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Reconstruction of residual stresses in autofrettaged thick-walled tubes from limited measurements
TL;DR: In this paper, an analytical method for reconstructing residual stresses within axisymmetric cylinders is presented, which uses the stress equilibrium and boundary conditions together with an Airy stress function that satisfies these conditions.
Journal ArticleDOI
Hydrodynamic interaction between particles near elastic interfaces
TL;DR: It is found that particle motion towards a membrane with pure bending resistance always leads to mutual repulsion similar as in the well-known case of a hard-wall and there exists a frequency range in which the pair-mobility for perpendicular motion exceeds its bulk value, leading to short-lived superdiffusive behavior.
Book ChapterDOI
From Fourier Transform to Wavelet Transform: A Historical Perspective
Robert X. Gao,Ruqiang Yan +1 more
TL;DR: To extract information from signals and reveal the underlying dynamics that corresponds to the signals, proper signal processing technique is needed.
Journal ArticleDOI
The Phase Perturbation Technique vs. an Exact Numerical Method for Random Rough Surface Scattering
TL;DR: In this paper, the authors examined the validity of the phase perturbation technique for a region in parameter space when the two classical solutions failed, and found that in the region considered the phase-perturbation results agree with the exact results over all scattered angl...
Journal ArticleDOI
Nonlinear mirror waves in non-Maxwellian space plasmas
TL;DR: In this paper, a theory of finite-amplitude mirror type waves in non-Maxwellian space plasmas is developed, where collisionless kinetic theory in a guiding center approximation, modified for accounting of the finite ion Larmor radius effects, is used as the starting point.