Anomalous Enhancement of Transmitted Intensity in Asymmetric Diffraction of X-Rays from a Single Crystal

Kishino, Shigenobu; Noda, Atsuko; Köhra, Kazutake

doi:10.1143/jpsj.33.158

Cited by 77 publications

(51 citation statements)

References 8 publications

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“…Previous studies (Brfimmer, HSche & Nieber, 1976;Kishino, Noda& Kohra, 1972) aimed at a measure of the intensity of a Bragg reflection as a function of i (so-called asymmetric Bragg-case diffraction) just used different samples with surfaces cut along different orientations with respect to the Bragg planes, according to the relation i+a--OB=O,…”

Section: Geometrical Description Of the Methodsmentioning

confidence: 99%

X-ray transmissivity measurements using dynamical diffraction under grazing-incidence conditions

Rieutord¹

1990

Acta Cryst Sect A

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phase error is much stronger. In reality, however, the standard deviation of the (random) error will be smaller than 0.08, but the data will be affected by systematic errors as well.The results reported in the present paper show that it is possible to estimate triplet invariants from artificial two-wavelength data (which may be corrupted by random errors) and use the invariants in a multi-solution procedure to obtain structure-factor phases without the need to solve the heavy-atom structure.References FORTIER, S., WEEKS, C. M. & HAUPTMAN, H. (1984). Acta Cryst.A40, 544-548. GIACOVAZZO, C. (1983). Acta Cryst. A39, 585-592. HAUPTMAN, H. (1982a). Acta Cryst. A38, 289-294. HAUPTMAN, H. (1982b AbstractThe dependence of the X-ray transmission coefficient of a thin-film coating as a function of incidence has been measured in the grazing-angle range. The method is based on the use of a substrate Bragg reflection to redirect the incident or transmitted beams. It allows grazing incidence from both outside and inside the substrate to be performed. The geometry of the experiment is described. The results are interpreted by means of dynamical theory combined with an optical formalism for stratified systems. Experimental results and applications are compared with reflectivity data.

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Section: Geometrical Description Of the Methodsmentioning

confidence: 99%

X-ray transmissivity measurements using dynamical diffraction under grazing-incidence conditions

Rieutord¹

1990

Acta Cryst Sect A

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“…This leads, in comparison with the conventional theory, to smaller amplitudes E h (Hiirtwig, 1978b). But, on the other hand, the diffracted wave E h has a considerable amplitude still in the range of an extremely asymmetric Laue case with grazing emergence (Kishino, Noda & Kohra, 1972;Bedyfiska, 1973Bedyfiska, , 1974, where the conventional theory predicts no En. Therefore, in the conventional theory the integrated reflectivity tends to zero for a-0B tending to zero, whereas the theory for the extremely asymmetric case provides a non-zero value for a -0 n tending to zero.…”

Section: Grazing Incidencementioning

confidence: 97%

On the integrated reflectivity of perfect crystals in extremely asymmetric Bragg cases of X-ray diffraction

Härtwig¹

1981

Acta Cryst Sect A

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TheoryIn the case of grazing incidence, the integrated reflectivity calculated according to the theory appropriate for extreme asymmetry is smaller than that calculated according to the conventional theory. In the case of grazing emergence the results calculated according to each theory exhibit smaller differences than for the first case within a great range of extreme asymmetry. In the conventional theory the integrated reflectivity tends to zero for a -0 B tending to zero, whereas the theory for extremely asymmetric cases provides a non-zero value for the reflectivity for a-0n tending to zero.

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“…Extremely asymmetrical scattering (EAS) is a radically new type of Bragg scattering in slanted, periodic, strip-like wide gratings, when the first diffracted order satisfying the Bragg condition (scattered wave) propagates parallel to the front grating boundary [1][2][3][4][5][6][7][8][9]. The main characteristic feature of EAS is the strong resonant increase of the scattered wave amplitude, compared to the amplitude of the incident wave at the front boundary [1][2][3][4][5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

“…The main characteristic feature of EAS is the strong resonant increase of the scattered wave amplitude, compared to the amplitude of the incident wave at the front boundary [1][2][3][4][5][6][7][8][9]. Other unique features of EAS include additional resonances in nonuniform gratings [5], detuned gratings [8], in wide gratings when the scattered wave propagates at a grazing angle with respect to the boundaries [6], and the unusually strong sensitivity of EAS to small variations of mean structural parameters at the grating boundaries [9].…”

Section: Introductionmentioning

confidence: 99%

Non-steady-state extremely asymmetrical scattering of waves in periodic gratings

Nieminen¹,

Gramotnev²

2002

Opt. Express

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Extremely asymmetrical scattering (EAS) is a highly resonant type of Bragg scattering with a strong resonant increase of the scattered wave amplitude inside and outside the grating. EAS is realized when the scattered wave propagates parallel to the grating boundaries. We present a rigorous algorithm for the analysis of non-steady-state EAS, and investigate the relaxation of the incident and scattered wave amplitudes to their steady-state values. Non-steady-state EAS of bulk TE electromagnetic waves is analyzed in narrow and wide, slanted, holographic gratings. Typical relaxation times are determined and compared with previous rough estimations. Physical explanation of the predicted effects is presented.

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Anomalous Enhancement of Transmitted Intensity in Asymmetric Diffraction of X-Rays from a Single Crystal

Cited by 77 publications

References 8 publications

X-ray transmissivity measurements using dynamical diffraction under grazing-incidence conditions

X-ray transmissivity measurements using dynamical diffraction under grazing-incidence conditions

On the integrated reflectivity of perfect crystals in extremely asymmetric Bragg cases of X-ray diffraction

Non-steady-state extremely asymmetrical scattering of waves in periodic gratings

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