Improvements to the molecular beam Fourier analysis technique

1984 ◽  
Vol 17 (4) ◽  
pp. 485-496 ◽  
Author(s):  
E.A. Kurz ◽  
J.B. Hudson
1960 ◽  
Vol 31 (1-2) ◽  
pp. 5-17
Author(s):  
Carl Kisslinger

Abstract The history of events occurring near the source following a small explosion has been deduced from the Rayleigh waves recorded at two distances. The Fourier analysis method developed by Sato, and Lamb’s solution for the displacement on a half-space have been employed in two distinct approaches to this problem. The displacement history from the first approach shows an essentially rectilinear vibration of the earth partiele, following the initial compression. The second technique yields the vertical point force equivalent to the explosion. The vertical acceleration at the source from the first method agrees fairly well in general form with the force found in the second. Information about the phase velocities and the initial phases of the constituent frequency components is a valuable by product of the Fourier analysis technique.


1994 ◽  
Vol 38 ◽  
pp. 757-762
Author(s):  
D.E. Koylman ◽  
S.C. Axtel ◽  
B.W. Robertson

Abstract An in situ XRD technique employing a diffractometer equipped with a high temperature camera was used to investigate the annealing behavior of nanoerystalline copper powder produced by mechanical milling. Specimens were annealed isothermally for 12 h at temperatures between 480 and 770 K. The diffraction data was analyzed using a single-profile Fourier analysis technique. The activation energy for diffracting particle growth was determined to be 0.45 eV/atom.


2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Xiaomei Hu

This paper is focused on the error estimates for solutions of the three-dimensional semilinear parabolic equation with initial datau0∈L2(ℝ3). Employing the energy methods and Fourier analysis technique, it is proved that the error between the solution of the semilinear parabolic equation and that of linear heat equation has the behavior asO((1+t)−3/8).


2010 ◽  
Vol 29-32 ◽  
pp. 2662-2667
Author(s):  
Xiao Yun Chen ◽  
Gui Lan Yu

The propagation of elastic waves through a micro gap considering frictional contact is investigated in the present paper. Using the Fourier analysis technique and corrective solution superposition method, the problem is solved analytically. Special examples for identical materials are discussed in detail. The results show that the initial gap width has significant influences on the harmonics and energy partition and their relations may be effective on non-destructive evaluation of a pre-existing gap.


2014 ◽  
Vol 2014 ◽  
pp. 1-4
Author(s):  
Yuexing Yang

We obtained the algebraicL2time decay rate for weak solutions of the nonlinear heat equations with the nonlinear term∇u2uin whole spaceR3. The methods are based on energy methods and Fourier analysis technique.


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