Laguerre-Gaussian radial Hilbert transform for edge-enhancement Fourier transform x-ray microscopy
Optics Express, Vol. 17, Issue 7, pp. 5533-5539 (2009)
http://dx.doi.org/10.1364/OE.17.005533
Enhanced HTML 
Acrobat PDF (295 KB)
Abstract
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
History
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
Citation
Nándor Bokor and Yoshinori Iketaki, "Laguerre-Gaussian radial Hilbert transform for
edge-enhancement Fourier transform x-ray
microscopy," Opt. Express 17, 5533-5539 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-7-5533
Sort: Year | Journal | Reset
References
- A. Sakdinawat and Y. Liu, "Soft-x-ray microscopy using spiral zone plates," Opt. Lett. 32, 2635-2637 (2007). [CrossRef] [PubMed]
- G. Schmal, D. Rudolph, P. Guttmann, G. Schneider, J. Thieme, and B. Niemann, "Phase contrast studies of biological specimens with the x-ray microscope at BESSY," Rev. Sci. Instrum. 66, 1282-1286 (1995). [CrossRef]
- C. David, B. Nöhammer, H. H. Solak, and E. Ziegler, "Differential x-ray phase contrast imaging using a shearing interferometer," Appl. Phys. Lett. 81, 3287-3289 (2002). [CrossRef]
- B. Kaulich, T. Wilhein, E. Di Fabrizio, F. Romanato, M. Altissimo, S. Cabrini, B. Fayard, and J. Susini, "Differential interference contrast x-ray microscopy with twin zone plates," J. Opt. Soc. Am. A 19, 797-806 (2002). [CrossRef]
- J. A. Davis, D. E. McNamara, D. M. Cottrell, and J. Campos, "Image processing with the radial Hilbert transform: theory and experiments," Opt. Lett. 25, 99-101 (2000). [CrossRef]
- S. Fürhaupter, A. Jesacher, S. Bernet, and M. Ritsch-Marte, "Spiral phase contrast imaging in microscopy," Opt. Express 13, 689-694 (2005). [CrossRef]
- I. McNulty, J. Kirz, C. Jacobsen, E. H. Anderson, M. R. Howells, and D. P. Kern, "High-resolution imaging by Fourier transform x-ray holography," Science 256, 1009-1012 (1992). [CrossRef] [PubMed]
- W. Leitenberger and A. Snigirev, "Microscopic imaging with high energy x-rays by Fourier transform holography," J. Appl. Phys. 90, 538-544 (2001). [CrossRef]
- C-S. Guo, Y-J. Han, J-B. Xu, and J. Ding, "Radial Hilbert transform with Laguerre-Gaussian spatial filters," Opt. Lett. 31, 1394-1396 (2006). [CrossRef] [PubMed]
- A. Stein, C. Jacobsen, K. Evans-Lutterodt, D. M. Tennant, G. Bogart, F. Klemens, L. E. Ocola, B. J. Choi, and S. V. Sreenivasan, "Diffractive x-ray optics using production fabrication methods," J. Vac. Sci. Technol. B 21, 214-219 (2003). [CrossRef]
- http://www.ntt-at.com/products_e/x-ray_FZP/index.html
- N. Bokor, Y. Iketaki, T. Watanabe, and M. Fujii, "Investigation of polarization effects for high-numerical-aperture first-order Laguerre-Gaussian beams by 2D scanning with a single fluorescent microbead," Opt. Express 13, 10440-10447 (2005). [CrossRef] [PubMed]
- K. Nagai, Y. Iketaki, A. Domondon, Y. Sato, and T. Watanabe, "A graphite-based multiplayer mirror for microscopy in the XANES region of biomolecules," IEEJ Trans. EIS 127, 1304-1307 (2007). [CrossRef]
- http://www.princetoninstruments.com/products/xraycam/
Cited By |
 Alert me when this paper is cited |
OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.
Related Journal Articles 
- Multi-imaging capabilities of a 2D diffraction grating in combination with digital holography (OL)
- Mechanical stress measurement by an achromatic optical digital speckle pattern interferometry strain sensor with radial in-plane sensitivity: experimental comparison with electrical strain gauges (AO)
- Optimal resolution in Fresnel incoherent correlation holographic fluorescence microscopy (OE)
- Creating three-dimensional lattice patterns using programmable Dammann gratings (AO)
- Dual wavelength full field imaging in low coherence digital holographic microscopy (OE)
Related Conference Papers
- Reprogrammable Optical Phase Array (ROPA) for Use in an Agile All-Photonic Network
- Bragg gratings in a new photosensitive material–photo-thermo-refractive glass
- Asymetry effect in holographic apodized phase mask for multichannel fiber Bragg gratings
- Phase mask period characterization with picometer accuracy using Bragg gratings and diffractive interferometric technique
- Surface Topography and Vertical Scanning in Two Color Low Coherence Digital Holographic Microscope
« Previous Article | Next Article »
OSA is a member of 