Nonscalar elastic light scattering from continuous random media in the Born approximation

Rogers, Jeremy D.; Capoglu, Ilker; Backman, Vadim

doi:10.1364/ol.34.001891

Cited by 98 publications

(158 citation statements)

References 8 publications

Supporting

Mentioning

156

Contrasting

Order By: Relevance

“…A weak scattering (Born) approximation then results in a two-parameter phase function, where the parameters l c and m determine the shape of the phase function. 43,44 It is possible to achieve variations in the shape of the phase function while maintaining the same value of g, resulting in a more flexible model than the Henyey-Greenstein phase function. This flexibility is important for the characterization of superficial tissue as superficial scattering determines the reflectance at small length scales and the phase function plays a significant role in this regime.…”

Section: Theoretical Model Based On the Whittle-matérn Correlation Fumentioning

confidence: 99%

See 1 more Smart Citation

Measurement of optical scattering properties with low-coherence enhanced backscattering spectroscopy

Turzhitsky¹,

Radosevich²,

Rogers³

et al. 2011

J. Biomed. Opt.

Self Cite

View full text Add to dashboard Cite

Abstract. Low-coherence enhanced backscattering (LEBS) is a depth selective technique that allows noninvasive characterization of turbid media such as biological tissue. LEBS provides a spectral measurement of the tissue reflectance distribution as a function of distance between incident and reflected ray pairs through the use of partial spatial coherence broadband illumination. We present LEBS as a new depth-selective technique to measure optical properties of tissue in situ. Because LEBS enables measurements of reflectance due to initial scattering events, LEBS is sensitive to the shape of the phase function in addition to the reduced scattering coefficient (μ * s ). We introduce a simulation of LEBS that implements a two parameter phase function based on the Whittle-Matérn refractive index correlation function model. We show that the LEBS enhancement factor (E) primarily depends on μ * s , the normalized spectral dependence of E (S n ) depends on one of the two parameters of the phase function that also defines the functional type of the refractive index correlation function (m), and the LEBS peak width depends on both the anisotropy factor (g) and m. Three inverse models for calculating these optical properties are described and the calculations are validated with an experimental measurement from a tissue phantom. C 2011 Society of Photo-Optical Instrumentation Engineers (SPIE).

show abstract

Section: Theoretical Model Based On the Whittle-matérn Correlation Fumentioning

confidence: 99%

“…(2), the Born approximation can be applied to calculate the differential scattering cross section from the spectral density. 43,44 A scalar-wave approximation of the phase function can then be obtained by normalizing the differential scattering cross section.…”

Section: Theoretical Model Based On the Whittle-matérn Correlation Fumentioning

confidence: 99%

Measurement of optical scattering properties with low-coherence enhanced backscattering spectroscopy

Turzhitsky¹,

Radosevich²,

Rogers³

et al. 2011

J. Biomed. Opt.

Self Cite

View full text Add to dashboard Cite

show abstract

“…The inverse power-law spectral dependence of the light scattered from submicrometre features in tissue samples was derived from the WhittleMatérn correlation function [27]. And the power spectrum of the refractive index variations and the scattering coefficients predicted by the models are found in good agreement with the experimental data [24,25]. The spectral changes induced by the refractive index spatial correlation in tissue have also been theoretically analysed [9] and experimentally measured [29].…”

Section: Introductionmentioning

confidence: 85%

“…Thus, at the microscopic level the spatial distribution of tissue elements and their refractive indices which are the corresponding optical description of microscopic structure of tissue are continuous. Recognizing that the random characteristic of the refractive index requires statistical description methods, the concept of a spatial correlation function of the refractive index [2,24,25,[27][28][29][30][31][32][33] or the dielectric permittivity [34] was then used to model the microscopic structure of tissues. At present, several forms of the refractive index correlation function have been proposed to describe the tissue inhomogeneities among which the most general one is the Whittle-Matérn correlation function family which can be expressed in terms of three parameters, the length scale of refractive index correlation distance L o , the parameter m that describes the form of the correlation function and the variance of the refractive index fluctuation δn 2 [25,35].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Fourier spectrum analysis of full-field optical coherence tomography for tissue imaging

Gao

2015

Proc. R. Soc. A.

View full text Add to dashboard Cite

show abstract

Fractal analysis of en face tomographic images obtained with full field optical coherence tomography

Gao

Zhu

2016

Annalen der Physik

View full text Add to dashboard Cite

The quantitative modeling of the imaging signal of pathological areas and healthy areas is necessary to improve the specificity of diagnosis with tomographic en face images obtained with full field optical coherence tomography (FFOCT). In this work, we propose to use the depth‐resolved change in the fractal parameter as a quantitative specific biomarker of the stages of disease. The idea is based on the fact that tissue is a random medium and only statistical parameters that characterize tissue structure are appropriate. We successfully relate the imaging signal in FFOCT to the tissue structure in terms of the scattering function and the coherent transfer function of the system. The formula is then used to analyze the ratio of the Fourier transforms of the cancerous tissue to the normal tissue. We found that when the tissue changes from the normal to cancerous the ratio of the spectrum of the index inhomogeneities takes the form of an inverse power law and the changes in the fractal parameter can be determined by estimating slopes of the spectra of the ratio plotted on a log‐log scale. The fresh normal and cancer liver tissues were imaged to demonstrate the potential diagnostic value of the method at early stages when there are no significant changes in tissue microstructures.

show abstract

Nonscalar elastic light scattering from continuous random media in the Born approximation

Cited by 98 publications

References 8 publications

Measurement of optical scattering properties with low-coherence enhanced backscattering spectroscopy

Measurement of optical scattering properties with low-coherence enhanced backscattering spectroscopy

Fourier spectrum analysis of full-field optical coherence tomography for tissue imaging

Fractal analysis of en face tomographic images obtained with full field optical coherence tomography

Contact Info

Product

Resources

About