Laguerre-Gaussian radial Hilbert transform for edge-enhancement Fourier transform x-ray microscopy

Nándor Bokor, Yoshinori Iketaki

Research output: Contribution to journalArticle

13 Citations (Scopus)


An efficient technique to achieve isotropic edge enhancement in optics involves applying a radial Hilbert transform on the object spectrum. Here we demonstrate a simple setup for isotropic edge-enhancement in soft- x-ray microscopy, using a single diffractive Laguerre-Gaussian zone plate (LGZP) for radial Hilbert transform. 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.

Original languageEnglish
Pages (from-to)5533-5539
Number of pages7
JournalOptics Express
Issue number7
Publication statusPublished - Mar 30 2009


ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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