Theoretical and experimental study on X-ray parametric nonlinear processes for application to material science

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We investigate both theoretically and experimentally parametric down-conversion(PDC) of x-rays into optical region, which is one of nonlinear optical processes in the x-ray region. We find that x-ray PDC is observed as the optical Fano effect and a theory to deduce the second order nonlinear susceptibility from the Fano spectra. We also show that the second order nonlinear susceptibility includes the linear susceptibility at the optical frequency, and succeed in visualizing the local optical response at 203 A with a resolution as fine as 0.54 A.