X-Ray Diffraction by Time-Dependent Deformed Crystals: Theoretical Model and Numerical Analysis

Details X-Ray Diffraction by Time-Dependent Deformed Crystals: Theoretical Model and Numerical Analysis X-Ray Diffraction by Time-Dependent Deformed Crystals: Theoretical Model and Numerical Analysis

1999-01-20

arxiv.org/abs/physics/9901033v1

Physics

Computational Physics

19 pages, 12 figures

Scientific paper

The objective of this article is to study the behavior of electromagnetic field under X-ray diffraction by time-dependent deformed crystals. Derived system of differential equations looks like the Takagi equations in the case of non-stationary crystals. This is a system of multidimensional first-order hyperbolic equations with complex time-dependent coefficients. Efficient difference schemes based on the multicomponent modification of the alternating direction method are proposed. The stability and convergence of devised schemes are proved. Numerical results are shown for the case of an ideal crystal, a crystal heated uniformly according to a linear law and a time-varying bent crystal. Detailed numerical studies indicate the importance of consideration even small crystal changes.

Affiliated with

Also associated with

No associations

Rating

X-Ray Diffraction by Time-Dependent Deformed Crystals: Theoretical Model and Numerical Analysis does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with X-Ray Diffraction by Time-Dependent Deformed Crystals: Theoretical Model and Numerical Analysis, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and X-Ray Diffraction by Time-Dependent Deformed Crystals: Theoretical Model and Numerical Analysis will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-6168