Three-dimensional generalization of the Van Cittert-Zernike theorem to wave and particle scattering

Zarubin, Alexander M.

doi:10.1016/0030-4018(93)90251-y

Cited by 24 publications

(17 citation statements)

References 25 publications

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“…The integration over all the longitudinal spatial frequencies k z will then lead to a localized wave packet defining the coherence function in the longitudinal direction. Generalization of the Van-Cittert-Zernike theorem to the threedimensional case was formulated in several studies [46][47][48][49][50], however, the interpretation in terms of the spatial frequencies was considered in our papers [35][36][37]45] and the papers by Ryabukho et al [51,52]. In FF-OCT both TC and LSC play a role and it is the main focus of this section to elucidate the effect of longitudinal coherence on the performance of such systems.…”

Section: Coherence Conceptsmentioning

confidence: 98%

Spatial and temporal coherence effects in interference microscopy and full‐field optical coherence tomography

Abdulhalim

2012

Annalen der Physik

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Low‐coherence optical microscopy or optical coherence microscopy uses light with short coherence length. The well‐known case is: “white‐light interferometry”, which became recently more known as: “optical coherence tomography”. However, when lenses and microscope objectives are used to create interferometric images, in what is known classically as “interference microscopy” or today as “full‐field optical coherence tomography” the spatial coherence starts to play a critical role. In this article the coherence effects in low‐coherence optical microscopy are reviewed. As this technology is becoming increasingly publicized due to its importance in three‐dimensional imaging, particularly of scattering biological media and optical metrology, the understanding of the fundamental physics behind it is essential. The interplay between longitudinal spatial coherence and temporal coherence and the effects associated with them are discussed in detail particularly when high numerical apertures are used. An important conclusion of this study is that a high‐contrast, high‐resolution system for imaging of multilayered samples is the one that uses narrowband illumination and high‐NA objectives with an index‐matching fluid. Such a system, when combined with frequency‐domain operation, can reveal nearly real‐time three‐dimensional images, and is thus competitive with confocal microscopy.

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Section: Coherence Conceptsmentioning

confidence: 98%

Spatial and temporal coherence effects in interference microscopy and full‐field optical coherence tomography

Abdulhalim

2012

Annalen der Physik

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“…We define the spatial Fourier transform of the source mutual intensity function as (74) with a similar expression for Then, under the constraint is related to through (75) Similar to Appendix I, we used the notation The proof of (75) is given in Appendix II. (This expression also follows directly by specializing a result derived in [112] to the case of a volume hologram; the full proof is given here for completeness.) This is also a correlation relation between the six-dimensional functions and constrained on the 4-D sphere…”

Section: Statistical Properties Of Diffraction From Volume Gratingsmentioning

confidence: 92%

“…The most common formulation of the theorem relates the mutual coherence in a plane at infinity to a 2-D source intensity distribution, but extentions to 3-D sources have been derived by various authors [109]- [112]. The farfield version of the extended van Cittert-Zernicke theorem was recently implemented experimentally [113]- [115].…”

Section: A Types Of Imaging Systemsmentioning

confidence: 99%

Multidimensional tomographic imaging using volume holography

Barbastathis¹,

Brady²

1999

Proc. IEEE

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“…1 to reconstruct the magnetization profile of the film. The difficulty w~t h this is that usually the absolute magnitude of the co~nplex factors F,> is not very well known and can only be obtained directly under certain conditions, such as for inultilayered samples (7,8). However, the case of regular domain patterns results in an elegant way to separate the three scattering contributions in Eq.…”

Section: Reports Visible Cone-beam Tomography With a Lensless Lnterfementioning

confidence: 96%

Visible Cone-Beam Tomography With a Lensless Interferometric Camera

Marks¹,

Stack²,

Brady³

et al. 1999

Science

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Digital processing of optical coherence functions can reconstruct three-dimensional objects illuminated by incoherent light. It is shown that Fourier analysis of the mutual intensity of the field produces projections that are mathematically identical to the projections of x-ray cone-beam tomography. A lensless interferometric camera that captures planes of mutual intensity data is described and used to reconstruct an incoherently illuminated visible object in three dimensions.

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Three-dimensional generalization of the Van Cittert-Zernike theorem to wave and particle scattering

Cited by 24 publications

References 25 publications

Spatial and temporal coherence effects in interference microscopy and full‐field optical coherence tomography

Spatial and temporal coherence effects in interference microscopy and full‐field optical coherence tomography

Multidimensional tomographic imaging using volume holography

Visible Cone-Beam Tomography With a Lensless Interferometric Camera

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