Three-dimensional coherence imaging in the Fresnel domain

Marks, Daniel L.; Stack, Ronald A.; Brady, David J.

doi:10.1364/ao.38.001332

Cited by 59 publications

(33 citation statements)

References 19 publications

(13 reference statements)

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“…The principle of our method is based on the measurement of a five-dimensional (5D) spatial coherence function and signal processing including a synthetic aperture technique. Reports of other passive interferometry include techniques to obtain a set of spectral components of two-dimensional (2D) images [24,25], various techniques to obtain 3D monochromatic images [26][27][28][29][30], and spectral tomography based on spatial coherence measurements by a rotational shear interferometer and a four-dimensional (4D) Fourier transform of the coherence function [31].…”

Section: Introductionmentioning

confidence: 99%

Fully interferometric three-dimensional imaging spectrometry using hyperbolic-type volume interferogram

2013

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A signal-processing method is proposed in the fully interferometric three-dimensional (3D) imaging spectrometry. This processing computes a 3D interferogram, in which recorded fringe patterns do not directly reflect wavefront forms propagated from a polychromatic light source under measurement. This paper presents a procedure for signal processing including a synthesis of the 3D interferogram and retrieval of a set of spectral components of 3D images. We demonstrate retrieving 3D images for spectral components of two planar light sources by means of the proposed method. The procedure to synthesize the 3D interferogram in this method suggests the possibility of direct measurement of the 3D interferogram.

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Section: Introductionmentioning

confidence: 99%

Fully interferometric three-dimensional imaging spectrometry using hyperbolic-type volume interferogram

2013

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“…In Section 2, the problem is formulated and, under the hypothesis of narrow-band, widesense stationary and incoherent sources, the coherence function of the NF is related to the source intensity distribution (van CittertZernike theorem), thus obtaining the relevant, linear unknown-to-data relationship to be inverted for the reconstruction of the unknown random sources. In Section 3, the problem discretization is introduced when the incoherent source intensity distribution is represented by means of Prolate Spheroidal Wave Functions (PSWFs) [34,35], and the solution scheme employing the SVD approach is indicated. Section 4 is devoted to describe the singular value optimization procedure to define the number and positions of the field samples.…”

Section: Introductionmentioning

confidence: 99%

Experimental Field Reconstruction of Incoherent Sources

Capozzoli¹,

Curcio²,

Liseno³

2013

PIER B

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Abstract-The problem of characterizing random sources from near-field measurements and of devising the random field sampling procedure is tackled by a stochastic approach. The presented technique is an extension of that introduced in [22] and successfully adopted to experimentally characterize deterministic (CW and multi-frequency) radiators and fields. Under the assumption that the source is wide sense stationary, quasi-monochromatic and incoherent, its intensity is reconstructed by time-domain field measurements aimed at extracting information from the mutual coherence of the acquired near-field. The linear relation between the field coherence and the source intensity is inverted by using the Singular Value Decomposition (SVD) approach, properly representing the source intensity distribution by exploiting the a priori information (e.g., its size and shape) on the radiator. The sampling of the radiated random field is devised by a singular value optimization procedure of the relevant finite dimensional linear operator. Experimental results using a slotted reverberation chamber as incoherent source assess the performance of the approach.

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“…Attempts to develop a passive interferometric techniques to obtain monochromatic three-dimensional (3D) images [1][2][3][4], and two-dimensional (2D) images of different spectra [5][6][7] have been reported in the past decades. Reports on interferometric techniques to obtain 3D images of many spectral components are rare, however [8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Digital holographic three-dimensional imaging spectrometry

Yoshimori

2012

Biomedical Optics and 3-D Imaging

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A fully interferometric technique for obtaining hypermultispectral components of three-dimensional (3D) images has been tested for a polychromatic object that consists of spatially incoherent, planar light sources of different shapes. Each planar source has different continuous spectra, located at different 3D positions. The method is based on measurement of a five-dimensional (5D) interferogram. By applying synthetic aperture technique and spectral decomposition to that 5D interferogram, one obtains a set of complex holograms of different spectral components. From these holograms, 3D images of multiple spectral components have been retrieved. A decomposed continuous spectrum of each planar light source is also shown to demonstrate the potential applicability to identify materials of a particular part of an object under illumination by white light.

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Three-dimensional coherence imaging in the Fresnel domain

Cited by 59 publications

References 19 publications

Fully interferometric three-dimensional imaging spectrometry using hyperbolic-type volume interferogram

Fully interferometric three-dimensional imaging spectrometry using hyperbolic-type volume interferogram

Experimental Field Reconstruction of Incoherent Sources

Digital holographic three-dimensional imaging spectrometry

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