The fractional Fourier transform as a simulation tool for lens-based X-ray microscopy.

摘要: The fractional Fourier transform (FrFT) is introduced as a tool for numerical simulations of X-ray wavefront propagation. By removing the strict sampling requirements encountered in typical optics, using FrFT can be carried out with much decreased detail, allowing, example, on-line simulation during experiments. Moreover, additive index property allows propagation through multiple optical components to simulated single step, which particularly useful compound refractive lenses (CRLs). It shown that it possible model attenuation from entire CRL one or two effective apertures without loss accuracy, greatly accelerating involving CRLs. To demonstrate applicability and accuracy FrFT, imaging resolution CRL-based system estimated, approach significantly more precise than comparable approaches geometrical optics. Secondly, extensive complex systems coherence and/or non-monochromatic sources minutes. Specifically, chromatic aberrations function source bandwidth are found geometric optics overestimates aberration energy bandwidths around 1%.