X-ray Third-Order Nonlinear Dynamical Diffraction in a Crystal

Balyan M. K.

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X-ray Third-Order Nonlinear Dynamical Diffraction in a Crystal

机译：晶体中的X射线三阶非线性动力衍射

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The dynamic diffraction of an X-ray wave in a crystal with a third-order nonlinear response to external field strength has been theoretically investigated. General equations for the wave propagation in crystal and nonlinear Takagi equations for both ideal and deformed crystals are derived. Integrals of motion are determined for the nonlinear problem of dynamic diffraction. The results of the numerical calculations of reflectivity in the symmetric Laue geometry for an incident plane wave and the intensity distributions on the output crystal surface for a point source are reported as an example.

机译：理论上已经研究了晶体中X射线波的动态衍射，该晶体具有对外部场强的三阶非线性响应。推导了晶体中波传播的一般方程，以及理想和变形晶体的非线性Takagi方程。对于动态衍射的非线性问题，确定了运动积分。以入射点平面波对称劳厄几何学中反射率的数值计算结果和点源在输出晶体表面上的强度分布为例。

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《Crystallography reports》 |2015年第7期|共8页
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Balyan M. K.;
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正文语种 eng
中图分类晶体学;
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专利

1. Third-order nonlinear and linear time-dependent dynamical diffraction of X-rays in crystals [J] . Balyan Minas K. Journal of synchrotron radiation . 2016,第4期

机译：晶体中X射线的三阶非线性和线性时变动力学衍射
2. X-ray Third-Order Nonlinear Dynamical Diffraction in a Crystal [J] . Balyan M. K. Crystallography reports . 2015,第7期

机译：晶体中的X射线三阶非线性动力衍射
3. X-ray third-order nonlinear plane-wave Bragg-case dynamical diffraction effects in a perfect crystal [J] . Balyan Minas K. Journal of synchrotron radiation . 2015,第6期

机译：完美晶体中的X射线三阶非线性平面波布拉格情形动力学衍射效应
4. The new principle for intensity calculation of X-rays dynamically diffracted in single crystals with defects [C] . A M Yeghiazaryan, K M Gevorgyan, A K Atanesyan International Symposium on Radiation from Relativistic Electrons in Periodic Structures . 2014

机译：X射线强度计算的新原理在单晶中动态衍射，缺陷
5. High throughput x-ray diffraction and second order nonlinear optical imaging of crystals. [D] . Muir, Ryan D. 2014

机译：高通量X射线衍射和晶体的二阶非线性光学成像。
6. Evaluation of crystal quality of thin protein crystals based on the dynamical theory of X-ray diffraction [O] . Marina Abe, Ryo Suzuki, Kenichi Kojima, 2020

机译：基于X射线衍射动力学理论的薄蛋白晶体晶体质量评价
7. Crystallographer's Challenge in the 21st Century. 1. Dynamics in Crystals. Laser Plasma X-Rays and Picosecond Time-Resolved X-Ray Diffraction. [O] . Kazutaka NAKAMURA, Yoichiro HIRONAKA, Ken-ichi KONDO 2001

机译：结晶在21世纪的挑战。 1.晶体的动态。激光等离子体X射线和皮秒时间分辨X射线衍射。
8. Dynamics of Resonant Third-Order Optical Nonlinearity in Perylene Tetracarboxylic Dianhydride Studied by Monitoring First-and Second-Order Diffractions in Subpicosecond Degenerate Four-Wave Mixing. [R] . Samoc, M., Prasad, P. N. 1989

机译：亚二缩体四波混合中一级和二级衍射监测研究per四羧酸二酐中共振三阶光学非线性的动力学。

X-ray Third-Order Nonlinear Dynamical Diffraction in a Crystal

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