Explaining the x-ray nonlinear susceptibility of diamond and silicon near absorption edges

Abstract

We report the observation and the theoretical explanation of the parametric down-conversion nonlinear susceptibility at the $K$-absorption edge of diamond and at the $L_{23}$-absorption edge of a silicon crystal. Using arguments similar to those invoked to successfully predict resonant inelastic x-ray spectra, we derive an expression for the renormalization term of the non-linear susceptibility at the x-ray edges, which can be evaluated by using first-principles calculations of the atomic scattering factor $f_1$. Our model is shown to reproduce the observed enhancement of the parametric down-conversion at the diamond $K$ and the Si $L_{23}$ edges rather than the suppression previously claimed.

5 pages, 4 figures

References in corpus (3)

• The running fine structure constant alpha(E) via the Adler function
• From Majorana theory of atomic autoionization to Feshbach resonances in high temperature superconductors
• Inelastic X-ray scattering from valence electrons near absorption edges of FeTe and TiSe${}_2$

Cited by in corpus (5)

• Observation of strong nonlinear interactions in parametric down-conversion of x-rays into ultraviolet radiation
• Theory of nonlinear interactions between x rays and optical radiation in crystals
• Nanophotonics for pair production
• Measurements of Polarization Dependencies in Parametric Down-Conversion of X-rays into Ultraviolet Radiation
• Radiation-damage-free ghost diffraction with atomic resolution