Diffraction tomography using power extinction measurements

Carney, P. Scott; Wolf, Emil; Agarwal, G. S.

doi:10.1364/josaa.16.002643

Cited by 34 publications

(22 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In Refs. [8,9] the incident field was taken to consist of two plane waves and consequently the extinguished power was related to a Fourier transform [8] or to a Fourier-Laplace transform [9] of the object. The present result shows that the extinguished power is a meaningful measure of object structure for certain forms of the incident field.…”

Section: ͑53͒mentioning

confidence: 99%

See 1 more Smart Citation

Generalized optical theorem for reflection, transmission, and extinction of power for scalar fields

2004

Self Cite

View full text Add to dashboard Cite

We present a derivation of the optical theorem that makes it possible to obtain expressions for the extinguished power in a very general class of problems not previously treated. The results are applied to the analysis of the extinction of power by a scatterer in the presence of a lossless half space. Applications to microscopy and tomography are discussed. We present a derivation of the optical theorem that makes it possible to obtain expressions for the extinguished power in a very general class of problems not previously treated. The results are applied to the analysis of the extinction of power by a scatterer in the presence of a lossless half space. Applications to microscopy and tomography are discussed. Comments

show abstract

Section: ͑53͒mentioning

confidence: 99%

“…It has been shown that the generalized optical theorem may be used to relate extinguished power to the structure of the scattering object and even to reconstruct the spatial structure of the scatterer from the data obtained from power extinction experiments [8,9].…”

Section: Introductionmentioning

confidence: 99%

Generalized optical theorem for reflection, transmission, and extinction of power for scalar fields

2004

Self Cite

View full text Add to dashboard Cite

show abstract

“…Whether involving holographic or non-holographic methods [10][11][12][13][14][15][16] , QPI presents new opportunities for studying cells and tissues non-invasively, quantitatively and without the need for staining or tagging [17][18][19][20][21][22][23] . Projection tomography using laser QPI has made use of ideas from X-ray imaging and enabled three-dimensional imaging of transparent structures [24][25][26] . More recently, this method has been applied to live cells [27][28][29][30] .…”

mentioning

confidence: 99%

White-light diffraction tomography of unlabelled live cells

et al. 2014

Self Cite

View full text Add to dashboard Cite

We present a technique called white-light diffraction tomography (WDT) for imaging microscopic transparent objects such as live unlabelled cells. The approach extends diffraction tomography to white-light illumination and imaging rather than scattering plane measurements. Our experiments were performed using a conventional phase contrast microscope upgraded with a module to measure quantitative phase images. The axial dimension of the object was reconstructed by scanning the focus through the object and acquiring a stack of phase-resolved images. We reconstructed the threedimensional structures of live, unlabelled, red blood cells and compared the results with confocal and scanning electron microscopy images. The 350 nm transverse and 900 nm axial resolution achieved reveals subcellular structures at high resolution in Escherichia coli cells. The results establish WDT as a means for measuring three-dimensional subcellular structures in a non-invasive and label-free manner.A transparent object illuminated by an electromagnetic field generates a scattering pattern that carries specific information about its internal structure. Inferring this information from measurements of the scattered field, that is, solving the inverse scattering problem, is the fundamental principle that has allowed X-ray diffraction measurements to reveal the molecular-scale organization of crystals 1 and more recently, image cells with nanoscale resolution 2,3 . The scattered field is related to the spatially varying dielectric susceptibility of the scattering object by a transformation that simplifies considerably and, more importantly, becomes invertible, when the incident field is only weakly perturbed by the presence of the object. In this regime, the first-order Born approximation 4 and the Rytov approximation 5 have been used to unambiguously retrieve the three-dimensional spatial distribution of the dielectric constant. Implementation of inverse scattering requires knowledge of both the amplitude and phase of the scattered field. This obstacle, known as the phase problem, has been associated with X-ray diffraction measurement throughout its century-old history (for a review, see ref. 6).In 1969, Wolf proposed diffraction tomography as a reconstruction method combining the X-ray diffraction principle with optical holography 7 . Unlike X-rays, light at lower frequencies can be used in phase imaging measurements, as demonstrated by Gabor 8 . In recent years, as a result of new advances in light sources, detector arrays and computing power, quantitative phase imaging (QPI), in which optical path-length delays are measured at each point in the field of view, has become a very active field of study 9 . Whether involving holographic or non-holographic methods 10-16 , QPI presents new opportunities for studying cells and tissues non-invasively, quantitatively and without the need for staining or tagging [17][18][19][20][21][22][23] . Projection tomography using laser QPI has made use of ideas from X-ray imaging and enabled three-dimensional ...

show abstract

“…Thus, quantitative phase imaging (QPI) has recently become an active field of study and various experimental approaches have been proposed [3][4][5][6][7][8][9][10][11]. Advances in phase-sensitive measurements enabled optical tomography of transparent structures, following reconstruction algorithms borrowed from X-ray computed imaging, in which scattering and diffraction effects are assumed to be negligible [12][13][14][15][16]. Further, QPI-based projection tomography has been applied to live cells [17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Spatial light interference microscopy (SLIM)

Popescu

2011

IEEE Photonic Society 24th Annual Meeting

View full text Add to dashboard Cite

Abstract:We present spatial light interference microscopy (SLIM) as a new optical microscopy technique, capable of measuring nanoscale structures and dynamics in live cells via interferometry. SLIM combines two classic ideas in light imaging: Zernike's phase contrast microscopy, which renders high contrast intensity images of transparent specimens, and Gabor's holography, where the phase information from the object is recorded. Thus, SLIM reveals the intrinsic contrast of cell structures and, in addition, renders quantitative optical path-length maps across the sample. The resulting topographic accuracy is comparable to that of atomic force microscopy, while the acquisition speed is 1,000 times higher. We illustrate the novel insight into cell dynamics via SLIM by experiments on primary cell cultures from the rat brain. SLIM is implemented as an add-on module to an existing phase contrast microscope, which may prove instrumental in impacting the light microscopy field at a large scale.

show abstract

Diffraction tomography using power extinction measurements

Cited by 34 publications

References 7 publications

Generalized optical theorem for reflection, transmission, and extinction of power for scalar fields

Generalized optical theorem for reflection, transmission, and extinction of power for scalar fields

White-light diffraction tomography of unlabelled live cells

Spatial light interference microscopy (SLIM)

Contact Info

Product

Resources

About