scholarly journals Elastic electron scattering using the finite element method

2010 ◽  
pp. 117-128
Author(s):  
Denis Aubry ◽  
Ann- Lenaig Hamon ◽  
Guillaume Puel
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Wave Function ◽  
Electron Scattering ◽  
Elastic Interaction ◽  
The Finite Element Method ◽  
Scattered Electron ◽  
Transmission Electron ◽  
Element Method

We address here the case of electron-matter elastic interaction as it occurs in Transmission Electron Microscopy (TEM) experiments. In the forward problem, we show that it is possible to derive the scattered electron wave function as the solution of a Helmholtz equation. This equation depends on the spatial potential associated with the analyzed sample, and can be relevantly solved using the Finite Element Method (FEM). Then we present an inverse formulation dealing with the determination of the sample’s potential when the total wave function is measured at the exit plane of the sample.

Determination of Vibration Amplitudes and Stresses Using the Holography Interference Techniques and Finite Element Method

1983 ◽  
Vol 105 (4) ◽  
pp. 484-488 ◽  
Author(s):  
Z. F. Fu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Gas Turbine ◽  
Strain Gage ◽  
Present Method ◽  
The Finite Element Method ◽  
Compressor Blades ◽  
Gas Turbine Compressor ◽  
Element Method

A new method which combines the holography interference technique with the finite element method for determining the distribution of vibration amplitudes and stresses of gas turbine compressor blades is presented in this paper. In comparison with the ordinary electrical strain gage method, the present method has the advantage that there is no limitation to the number of measuring points and good results can be obtained even at high order modes.

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