2011
DOI: 10.1364/ol.36.001215
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Scattering-phase theorem

Abstract: We derive two mathematical relations between quantitative phase images of thin slices of inhomogeneous media and the scattering parameters of the bulk, i.e., scattering mean free path, l(s), and anisotropy factor, g. The l(s) turns out to be inversely proportional to the spatial variance of the phase shift, and g is related to the variance of the phase gradient. These formulas, referred collectively to as the scattering-phase theorem, allow for extracting l(s) and g in a spatially resolved manner and across an… Show more

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Cited by 65 publications
(66 citation statements)
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“…Figure 4(b) illustrates the map of the scattering mean free path, calculated from the variance as l s = L/ φ(r) 2 , as described in Ref. 36. The spatially resolved scattering map shows very good correlation with cancerous and benign areas.…”
Section: Refractive Index As Marker For Prostate Cancermentioning
confidence: 89%
See 1 more Smart Citation
“…Figure 4(b) illustrates the map of the scattering mean free path, calculated from the variance as l s = L/ φ(r) 2 , as described in Ref. 36. The spatially resolved scattering map shows very good correlation with cancerous and benign areas.…”
Section: Refractive Index As Marker For Prostate Cancermentioning
confidence: 89%
“…[30][31][32] It has been shown that the knowledge of the amplitude and phase associated with an optical field transmitted through tissues captures the entire information regarding light-tissue interaction, including scattering properties. [33][34][35][36] Yet, the potential of QPI for label-free pathology has not been explored. Here we employ spatial light interference microscopy (SLIM), [37][38][39] a new white light QPI method developed in our laboratory, to image the entire unstained prostate and breast biopsies and perform a side-by-side comparison with stained pathological slides.…”
Section: Introductionmentioning
confidence: 99%
“…The underlying principle of the microscope is quantitative phase imaging [19], in which we retrieve the optical pathlength map associated with the blood film. Because the optical pathlength (or phase) contains information about both the sample refractive index and thickness, QPI has been used to provide measurements of red blood cell volumes [20], cell dry mass [21,22,23,24,25], dynamics [26,27,28,29,30,31], cell tomography [32,33,34,35], tissue scattering [36,37,38]. QPI has attracted increasing scientific interest in the past decade especially because it can study structure and dynamics quantitatively, with nanoscale sensitivity, and without the need for labeling with contrast agents.…”
Section: Quantitative Phase Imaging Using White Light Diffraction Phamentioning
confidence: 99%
“…From the MS-DPM data, the scattering coefficient (µ s ) (Fig. 2) was calculated using the scattering-phase theorem as [19].…”
Section: Resultsmentioning
confidence: 99%
“…Considering the entire range of angles captured by the objective lens, 0-56°, anisotropy becomes smaller at longer wavelength for all the regions. Following this intuitive observation, the anisotropy factor can be quantified using scattering-phase theorem as [19] ( ) ( ) . The anisotropy factor is higher than 0.9 in the olfactory bulb for 900 nm, but lower than 0.8 in corpus callosum.…”
Section: Resultsmentioning
confidence: 99%