Multiple diffraction of particles by a system of point
scatterers as an exactly soluble problem using the Ewald
concept

J 1996

Multiple diffraction of particles by a system of point scatterers as an exactly soluble problem using the Ewald concept

LITZMAN, Otto; Petr MIKULÍK a Petr DUB

Základní údaje

Originální název

Multiple diffraction of particles by a system of point scatterers as an exactly soluble problem using the Ewald concept

Autoři

LITZMAN, Otto; Petr MIKULÍK a Petr DUB

Vydání

J.Phys: Conds Matter, 1996, 0953-8984

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10301 Atomic, molecular and chemical physics

Stát vydavatele

Velká Británie a Severní Irsko

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Kód RIV

RIV/00216224:14310/96:00005863

Organizační jednotka

Přírodovědecká fakulta

Klíčová slova anglicky

dynamical theory of diffraction; diffraction; multiple scattering

Štítky

diffraction, dynamical theory of diffraction, multiple scattering

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 12. 2. 2007 18:47, doc. RNDr. Petr Mikulík, Ph.D.

Anotace

V originále

Reflection of a de Broglie plane wave incident on a system if point scatterers (nuclei) forming an ideal semi-infinite crystal is studied using the T-matrix formalism of Ewald's dynamical theory of diffraction. Using from the beginning the two-dimensional translational symmetry of the crystal bordered by a surface, simple exact many-beam analytical formulae for the intensities of the reflected waves are deduced, whereby the Ewald sphere is replaced by "the gamma-diagrams" and the usual three-dimensional dispersion surface by two-dimensional "dispersion plot". The results obtained are valid for arbitrary angles of incidence (including the grazing incidence, Bragg angle near pi/2, near or far from the Bragg reflection position) and for any directions of the reflected waves (including both the coplanar and noncoplanar reflections). The transparent algebraic form of the final formulae allows us to discuss analytically the solutions of the dispersion relation and the intensities of the reflections in two- and many-beam approximations.

Návaznosti

VS96102, projekt VaV

Název: Laboratoř tenkých vrstev a nanostruktur

Investor: Ministerstvo školství, mládeže a tělovýchovy ČR, Laboratoř tenkých vrstev a nanostruktur

Citovat

LITZMAN, Otto; Petr MIKULÍK a Petr DUB. Multiple diffraction of particles by a system of point scatterers as an exactly soluble problem using the Ewald concept. J.Phys: Conds Matter. 1996, roč. 8, č. 1, s. 4709. ISSN 0953-8984.

@article{197514,
   author = {Litzman, Otto and Mikulík, Petr and Dub, Petr},
   article_number = {1},
   keywords = {dynamical theory of diffraction; diffraction; multiple scattering},
   language = {eng},
   issn = {0953-8984},
   journal = {J.Phys: Conds Matter},
   title = {Multiple diffraction of particles by a system of point scatterers as an exactly soluble problem using the Ewald concept},
   url = {http://www.sci.muni.cz/~mikulik/Publications.html#LMD},
   volume = {8},
   year = {1996}
}

TY  - JOUR
ID  - 197514
AU  - Litzman, Otto - Mikulík, Petr - Dub, Petr
PY  - 1996
TI  - Multiple diffraction of particles by a system of point scatterers as an exactly soluble problem using the Ewald concept
JF  - J.Phys: Conds Matter
VL  - 8
IS  - 1
SP  - 4709
EP  - 4709
SN  - 09538984
KW  - dynamical theory of diffraction
KW  - diffraction
KW  - multiple scattering
UR  - http://www.sci.muni.cz/~mikulik/Publications.html#LMD
N2  - Reflection of a de Broglie plane wave incident on a system if point scatterers (nuclei) forming an ideal semi-infinite crystal is studied using the T-matrix formalism of Ewald's dynamical theory of diffraction. Using from the beginning the two-dimensional translational symmetry of the crystal bordered by a surface, simple exact many-beam analytical formulae for the intensities of the reflected waves are deduced, whereby the Ewald sphere is replaced by "the gamma-diagrams" and the usual three-dimensional dispersion surface by two-dimensional "dispersion plot". The results obtained are valid for arbitrary angles of incidence (including the grazing incidence, Bragg angle near pi/2, near or far from the Bragg reflection position) and for any directions of the reflected waves (including both the coplanar and noncoplanar reflections). The transparent algebraic form of the final formulae allows us to discuss analytically the solutions of the dispersion relation and the intensities of the reflections in two- and many-beam approximations.
ER  -

LITZMAN, Otto; Petr MIKULÍK a Petr DUB. Multiple diffraction of particles by a system of point scatterers as an exactly soluble problem using the Ewald concept. \textit{J.Phys: Conds Matter}. 1996, roč.~8, č.~1, s.~4709. ISSN~0953-8984.

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