Efficient techniques to achieve isotropic edge enhancement in optics involve applying a radial Hilbert, Laguerre-Gaussian, or differentiating filter on the object spectrum. We demonstrate a simple setup for isotropic edge-enhancement in soft-X-ray microscopy, using a single Laguerre-Gaussian zone plate (LGZP). Since the LGZP acts as a beam-splitter, diffraction efficiency problems usually associated with X-ray microscopy optics are not present in this system. As numerically demonstrated, the setup can detect optical path differences as small as λ/50 with high contrast.
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