Text

On the Darwin--Howie--Whelan Equations for the Scattering of Fast Electrons Described by the Schrödinger Equation

The Darwin--Howie--Whelan equations are commonly used to describe and simulate the scattering of fast electrons in transmission electron microscopy. They are a system of infinitely many envelope functions, derived from the Schrödinger equation. However, for the simulation of images only a finite set of envelope functions is used, leading to a system of ordinary differential equations in thickness direction of the specimen. We study the mathematical structure of this system and provide error estimates to evaluate the accuracy of special approximations, like the two-beam and the systematic-row approximation.

Ketersediaan

Informasi Detail

Judul Seri

SIAM JOURNAL ON APPLIED MATHEMATICS; Vol.81 No.4 July - Agustus 2021

No. Panggil

-

Penerbit

: .,

Deskripsi Fisik

p. 1552 - 1578

Bahasa

English

ISBN/ISSN

-

Klasifikasi

NONE

Tipe Isi

-

Tipe Media

-

Tipe Pembawa

-

Edisi

-

Subjek

ELASTIC SCATTERING
ERROR ESTIMATES
TRANSMISSION ELECTRON MICROSCOPY
ELECTRONIC SCHRÖDINGER EQUATION
EWALD SPHERE
DUAL LATTICE
SPATIAL HAMILTONIAN SYSTEMS

Info Detail Spesifik

https://doi.org/10.1137/21M139164X

Pernyataan Tanggungjawab

Thomas Koprucki, Anieza Maltsi, Alexander Mielke

Versi lain/terkait

Lampiran Berkas

Komentar