Elastic electron scattering using the finite element method. Forward and inverse problems

Denis Aubry; Ann-Lenaig Hamon; Guillaume Puel

Elastic electron scattering using the finite element method. Forward and inverse problems

Denis Aubry ¹ Ann-Lenaig Hamon ¹ Guillaume Puel ^{1, *}

* Corresponding author

1 MSSMat - Laboratoire de mécanique des sols, structures et matériaux

Abstract : 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.

Keywords : elastic scattering TEM inverse problem adjoint state regularization

Document type :

Journal articles

Domain :

Engineering Sciences [physics] / Mechanics [physics.med-ph]

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https://hal-ecp.archives-ouvertes.fr/hal-00707978
Contributor : Guillaume Puel <>
Submitted on : Wednesday, June 13, 2012 - 11:16:48 PM
Last modification on : Friday, August 24, 2018 - 2:10:01 PM
Long-term archiving on : Friday, September 14, 2012 - 2:41:15 AM

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