Diffraction microtomography with sample rotation: influence of a missing apple core in the recorded frequency space

• Authors: Stanislas Vertu , Jean-Jacques Delaunay , Ichiro Yamada , Olivier Haeberlé
• Languages of publication: EN

Abstracts

EN

Diffraction microtomography in coherent light is foreseen as a promising technique to image transparent living samples in three dimensions without staining. Contrary to conventional microscopy with incoherent light, which gives morphological information only, diffraction microtomography makes it possible to obtain the complex optical refractive index of the observed sample by mapping a three-dimensional support in the spatial frequency domain. The technique can be implemented in two configurations, namely, by varying the sample illumination with a fixed sample or by rotating the sample using a fixed illumination. In the literature, only the former method was described in detail. In this report, we precisely derive the three-dimensional frequency support that can be mapped by the sample rotation configuration. We found that, within the first-order Born approximation, the volume of the frequency domain that can be mapped exhibits a missing part, the shape of which resembles that of an apple core. The projection of the diffracted waves in the frequency space onto the set of sphere caps covered by the sample rotation does not allow for a complete mapping of the frequency along the axis of rotation due to the finite radius of the sphere caps. We present simulations of the effects of this missing information on the reconstruction of ideal objects.

Keywords

EN

image reconstruction; tomography; Fourier optics; holographic interferometry

Discipline

• 42.: Optics(for optical properties of gases, see 51.70.+f; for optical properties of bulk materials and thin films, see 78.20.-e; for x-ray optics, see 41.50.+h)
• 42.30.-d: Imaging and optical processing
• 42.40.-i: Holography
• 42.90.+m: Other topics in optics (restricted to new topics in section 42)

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2009
• Volume: 7
• Issue: 1
• Pages: 22-31

Dates

published

1 - 3 - 2009

online

8 - 1 - 2009

Contributors

author

Stanislas Vertu

• Department of Engineering Synthesis, School of Engineering, The University of Tokyo, 7-3-1 Hongo Bunkyo-ku, Tokyo, 113-8656, Japan

author

Jean-Jacques Delaunay

• Department of Engineering Synthesis, School of Engineering, The University of Tokyo, 7-3-1 Hongo Bunkyo-ku, Tokyo, 113-8656, Japan

author

Ichiro Yamada

• Department of Engineering Synthesis, School of Engineering, The University of Tokyo, 7-3-1 Hongo Bunkyo-ku, Tokyo, 113-8656, Japan

author

Olivier Haeberlé

• Laboratory MIPS - University of Haute Alsace, IUT Mulhouse, 61 rue Albert Camus, 68093, Mulhouse Cedex, France

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Identifiers

DOI

10.2478/s11534-008-0154-6