A UNIFIED TREATMENT OF SMALL-ANGLE X-RAY-SCATTERING, X-RAY REFRACTION AND ABSORPTION USING THE RYTOV APPROXIMATION

被引:24
作者
DAVIS, TJ
机构
来源
ACTA CRYSTALLOGRAPHICA SECTION A | 1994年 / 50卷
关键词
D O I
10.1107/S0108767394003478
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
The Helmholtz wave equation for X-rays in a dielectric medium is solved using the Rytov approximation for the X-ray phase perturbation. It is shown that under appropriate limits the solution yields the equations for small-angle X-ray scattering, X-ray refraction and absorption. This demonstrates that the Rytov approximation provides a unified treatment of small-angle X-ray phenomena.
引用
收藏
页码:686 / 690
页数:5
相关论文
共 21 条
[1]  
Azariff L. V., 1974, XRAY DIFFRACTION, P180
[2]   THE PHASE-SHIFT AND MULTIPLE-SCATTERING IN SMALL-ANGLE NEUTRON-SCATTERING - APPLICATION TO BEAM BROADENING FROM CERAMICS [J].
BERK, NF ;
HARDMANRHYNE, KA .
PHYSICA B & C, 1986, 136 (1-3) :218-222
[3]  
Born M., 1964, PRINCIPLES OPTICS
[4]  
CHERNOV LA, 1960, WAVE PROPAGATION RAN
[5]  
Deans S., 1983, RADON TRANSFORM SOME
[6]   RECONSTRUCTIVE TOMOGRAPHY WITH DIFFRACTING WAVE-FIELDS [J].
DEVANEY, AJ .
INVERSE PROBLEMS, 1986, 2 (02) :161-183
[7]   INVERSE-SCATTERING THEORY WITHIN THE RYTOV APPROXIMATION [J].
DEVANEY, AJ .
OPTICS LETTERS, 1981, 6 (08) :374-376
[8]  
Gans R, 1925, ANN PHYS-BERLIN, V76, P29
[9]  
GOTTFRIED K, 1966, QUANTUM MECHANICS, V1
[10]  
Guinier G., 1955, SMALL ANGLE SCATTERI