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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics


  • Editor: Gregory W. Faris
  • Vol. 4, Iss. 5 — May. 5, 2009

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

Nándor Bokor and Yoshinori Iketaki  »View Author Affiliations

Optics Express, Vol. 17, Issue 7, pp. 5533-5539 (2009)

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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.

© 2009 Optical Society of America

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(340.7460) X-ray optics : X-ray microscopy
(090.1995) Holography : Digital holography

ToC Category:
X-ray Optics

Original Manuscript: December 9, 2008
Revised Manuscript: February 8, 2009
Manuscript Accepted: March 11, 2009
Published: March 24, 2009

Virtual Issues
Vol. 4, Iss. 5 Virtual Journal for Biomedical Optics

Nándor Bokor and Yoshinori Iketaki, "Laguerre-Gaussian radial Hilbert transform for edge-enhancement Fourier transform x-ray microscopy," Opt. Express 17, 5533-5539 (2009)

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