An analytic solution to the Rayleigh scattering cross section integral
Abstract
The total Rayleigh scattering cross section integral has been integrated analytically using atomic form factors described as a sum of exponentials. This form of the scattering integral eliminates the need for numerical integration using interpolated values of form factors. The result of the integration is expressed in a simple analytical form that can be numerically integrated over the spectra from an X-ray tube.
- Publication:
-
Nuclear Instruments and Methods in Physics Research A
- Pub Date:
- February 1985
- DOI:
- 10.1016/0168-9002(85)91006-X
- Bibcode:
- 1985NIMPA.234..552H