Approximate solution of the Takagi-Taupin equations for a semi-infinite crystal in the three-beam Laue-Laue case

Authors
Thorkildsen, G Larsen, HB Weckert, E
Citation
G. Thorkildsen et al., Approximate solution of the Takagi-Taupin equations for a semi-infinite crystal in the three-beam Laue-Laue case, ACT CRYST A, 57, 2001, pp. 389-394
Citations number
26
Categorie Soggetti
Physical Chemistry/Chemical Physics
Journal title
ACTA CRYSTALLOGRAPHICA SECTION A
ISSN journal
01087673 → ACNP
Volume
57
Year of publication
2001
Part
4
Pages
389 - 394
Database
ISI
SICI code
0108-7673(200107)57:<389:ASOTTE>2.0.ZU;2-X
Abstract
An analytical approximate solution of the Takagi-Taupin equations for a sym metrical three-beam Laue-Laue case in a perfect non-absorbing semi-infinite crystal slab has been obtained. The expression, a second-order expansion, is valid for situations where the effective crystal thickness does not exce ed half the actual extinction length and it is shown to be in perfect agree ment with the full numerical solution of the fundamental equations.