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A comparison of differential equations that control transmission of strained, non‐centrosymmetric crystals by fast electrons
Author(s) -
Kästner G.
Publication year - 1986
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221340206
Subject(s) - bloch wave , physics , electron , scattering , bloch equations , bragg's law , matrix (chemical analysis) , plane wave , differential (mechanical device) , beam (structure) , transmission (telecommunications) , differential equation , notation , plane (geometry) , condensed matter physics , optics , quantum mechanics , diffraction , mathematics , materials science , geometry , electrical engineering , arithmetic , engineering , composite material , thermodynamics
Electron transmission of non‐centrosymmetric crystals is treated by matrix notation of the dynamical many‐beam theory consistently applied to conventional and modified Bloch waves, correlated plane waves, and column models. Attributed known and supplementary differential equations are shown to be derivable and transformable into each other in a systematic way. Also two integration procedures are generalised. Besides, an explicite expression is derived that describes the physics of scattering of modified Bloch waves in the many‐beam case. It is also shown how those Bloch wave transitions forbidden under Bragg orientation at centrosymmetry, arise due to non‐centrosymmetry.