Einfluß der Totalreflexion auf die Röntgenstrahlbeugung im stark asymmetrischen Bragg-Fall

Brümmer, O.; Höche, H. R.; Nieber, J.

doi:10.1002/pssa.2210330218

Cited by 46 publications

(5 citation statements)

References 8 publications

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“…[9][10][11][12][13][14][15][16][17][18][19][20]28 In this section, we will consider some examples at high incidence angles, where our GDT is always valid, in contrast to other theoretical models. [9][10][11][12][13][14][15][16][17][18][19][20]28 As a first example we may consider a short-period AlAs/GaAs superlattice ͑SL͒ coherently grown on a ͓100͔oriented GaAs substrate crystal. We assume that the SL is made by 66 periods with a period length of Pϭ1.2 nm, while the thicknesses of the two layers constituting one SL period are equal, i.e., 0.56 nm.…”

Section: Comparison With the Conventional Dynamical X-ray Theorymentioning

confidence: 99%

“…7,8 However, in some cases the above approximations are not valid: ͑i͒ for highly asymmetric x-ray diffractions, where simultaneously x-ray diffraction and reflection occur, [9][10][11][12][13][14][15][16][17][18] ͑ii͒ for grazing-incidence diffraction, 19,20 ͑iii͒ for Bragg angles that are very close to /2, 21-23 and ͑iv͒ for diffraction patterns, where the angular distance between the Bragg peaks is large ͑of the order of degrees͒. 24 Experimental evidences of the failure of the conventional x-ray dynamical theory ͑CDT͒ were also reported for extremely asymmetric Bragg x-ray diffractions on silicon ͑001͒ crystals.…”

Section: Introductionmentioning

confidence: 99%

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Generalized Laue dynamical theory for x-ray reflectivity at low and high incidence angles on strained multilayers

Giannini

Tapfer

1997

Phys. Rev. B

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In this work, we present a generalized dynamical theory for strained multilayers within the Laue formalism valid for x-ray Bragg diffraction. In the generalized theory we take into account all the four solutions of the secular equation, the asymptotic sphericity of the dispersion surface, the difference between electric and displacement fields, and the boundary conditions of continuity at the heterointerfaces for the tangential components of the electric and magnetic fields. Only the following approximations are made: to consider a two-beam case, and to neglect quadratic terms of the dielectric susceptibility. Our general equations give the correct x-ray reflectivity in the whole angular range between 0 and /2, i.e., also very far from the Bragg peaks. Great differences between the predictions of the conventional and generalized theories are obtained in several cases, for important features of the rocking curves, like angular position, peak intensity, and full width at half maximum of superlattice satellite or epitaxial layer peaks. We discuss in detail the following cases for which only the generalized theory describes correctly the x-ray scattering: coplanar diffraction ͑i͒ very far from the Bragg condition, ͑ii͒ near to the Bragg condition for strong asymmetric reflections, and ͑iii͒ for highly mismatched heterostructures.

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Section: Comparison With the Conventional Dynamical X-ray Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Generalized Laue dynamical theory for x-ray reflectivity at low and high incidence angles on strained multilayers

Giannini

Tapfer

1997

Phys. Rev. B

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“…Moreover, at angles ranging from ' 0 0 to ' 0 0;k the beam reflected by total external reflection can appear in addition to the diffracted beam (Brü mmer et al, 1976).…”

Section: Grazing-incidence Skew-asymmetric Bragg Topography: Experimementioning

confidence: 99%

X-ray topography of subsurface crystal layers

2017

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New capabilities of the Berg–Barrett topographic method are demonstrated using a skew-asymmetric X-ray diffraction scheme for investigating structural changes near the surface of semiconductor materials. Specifying the X-ray extinction depth, the details of defects and strains are revealed with high resolution. Consequently, analysis of structural distortion of layers near the surface after various types of surface processing becomes more complete.

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“…The 2B-GDT description of diffraction in a strained multilayer is based on the works on the generalized dynamical theory in a homogeneous crystal [7]. Starting from the wave equation for the E-waves, we obtain a system of equations for the amplitudes in the form…”

Section: Two-beam Generalized Diffraction Theorymentioning

confidence: 99%

Mode competition in gas lasers

Hoang¹

1986

Sov. J. Quantum Electron.

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We present two-beam and three-beam dynamical diffraction theories for strained multilayers, where no other approximations are used. We compare the resulting diffraction curves with the calculations using the conventional two-beam dynamical theory and by a kinematical approach. We show that between the diffraction maxima all the dynamical approaches used do not yield correct results and a two-dimensional formulation of the dynamical theory must be used.

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Einfluß der Totalreflexion auf die Röntgenstrahlbeugung im stark asymmetrischen Bragg-Fall

Cited by 46 publications

References 8 publications

Generalized Laue dynamical theory for x-ray reflectivity at low and high incidence angles on strained multilayers

Generalized Laue dynamical theory for x-ray reflectivity at low and high incidence angles on strained multilayers

X-ray topography of subsurface crystal layers

Mode competition in gas lasers

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