X-ray third-order nonlinear plane-wave Bragg-case dynamical diffraction effects in a perfect crystal

Two-wave symmetric Bragg-case dynamical diffraction of a plane X-ray wave in a crystal with third-order nonlinear response to the electric field is considered theoretically. For certain diffraction conditions for a non-absorbing perfect semi-infinite crystal in the total reflection region an analyti...

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Veröffentlicht in:Journal of synchrotron radiation. - 1994. - 22(2015), 6 vom: 11. Nov., Seite 1410-8
1. Verfasser: Balyan, Minas K (VerfasserIn)
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2015
Zugriff auf das übergeordnete Werk:Journal of synchrotron radiation
Schlagworte:Journal Article Bragg case nonlinear diffraction reflection region third-order nonlinearity two-wave diffraction
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245 1 0 |a X-ray third-order nonlinear plane-wave Bragg-case dynamical diffraction effects in a perfect crystal 
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500 |a Date Completed 03.02.2016 
500 |a Date Revised 31.08.2016 
500 |a published: Print-Electronic 
500 |a ErratumIn: J Synchrotron Radiat. 2016 Sep 1;23(Pt 5):1272. - PMID 27577786 
500 |a Citation Status PubMed-not-MEDLINE 
520 |a Two-wave symmetric Bragg-case dynamical diffraction of a plane X-ray wave in a crystal with third-order nonlinear response to the electric field is considered theoretically. For certain diffraction conditions for a non-absorbing perfect semi-infinite crystal in the total reflection region an analytical solution is found. For the width and for the center of the total reflection region expressions on the intensity of the incidence wave are established. It is shown that in the nonlinear case the total reflection region exists below a maximal intensity of the incidence wave. With increasing intensity of the incidence wave the total reflection region's center moves to low angles and the width decreases. Using numerical calculations for an absorbing semi-infinite crystal, the behavior of the reflected wave as a function of the intensity of the incidence wave and of the deviation parameter from the Bragg condition is analyzed. The results of numerical calculations are compared with the obtained analytical solution 
650 4 |a Journal Article 
650 4 |a Bragg case 
650 4 |a nonlinear diffraction 
650 4 |a reflection region 
650 4 |a third-order nonlinearity 
650 4 |a two-wave diffraction 
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