Accuracy of the Born approximation in calculating the scattering coefficient of biological continuous random media

2009 ◽  
Vol 34 (17) ◽  
pp. 2679 ◽  
Author(s):  
İlker R. Çapoğlu ◽  
Jeremy D. Rogers ◽  
Allen Taflove ◽  
Vadim Backman
Keyword(s):  
Born Approximation ◽  
Random Media ◽  
Scattering Coefficient

Modeling spectral dependence of reduced scattering coefficient for continuous random media with the Born Approximation

2010 ◽  
Author(s):  
Jeremy D. Rogers ◽  
Ílker R. Çapoğlu ◽  
Valentina Stoyneva ◽  
Vladimir M. Turzhitsky ◽  
Vadim Backman
Keyword(s):  
Born Approximation ◽  
Spectral Dependence ◽  
Random Media ◽  
Scattering Coefficient ◽  
Reduced Scattering Coefficient

Multiple light scattering from spatially random media under the second-order Born approximation

1996 ◽  
Vol 123 (1-3) ◽  
pp. 234-249 ◽  
Author(s):  
Tomohiro Shirai ◽  
Toshimitsu Asakura
Keyword(s):  
Light Scattering ◽  
Born Approximation ◽  
Random Media ◽  
Second Order ◽  
Multiple Light Scattering

A statistical model of light scattering in biological continuous random media based on the Born approximation

2010 ◽  
Author(s):  
Ilker R. Çapoglu ◽  
Jeremy D. Rogers ◽  
Allen Taflove ◽  
Vadim Backman
Keyword(s):  
Light Scattering ◽  
Statistical Model ◽  
Born Approximation ◽  
Random Media

scholarly journals Spectral Intensity Variation by the Correlation Function of Refractive Index Fluctuations of the Liquid Medium

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Nageshwar Singh
Keyword(s):  
Refractive Index ◽  
Correlation Function ◽  
Liquid Medium ◽  
Born Approximation ◽  
Random Media ◽  
Intensity Variation ◽  
Spectral Intensity ◽  
Far Field ◽  
Macroscopic Theory ◽  
Spatial Correlation Function

It is proposed that a macroscopic theory of propagation and scattering of light through random media can be functional for the dye liquid flowing media in the microscopic levels too, with modest approximations. Maxwell’s equation for a random refractive index medium is approximated and solved for the electric field. An analytical expression for the spectral intensity of the field scattered by the refractive index fluctuations inside a medium has been derived which was valid within the first Born approximation. Far field spectral intensity variation of the radiation propagating through the liquid medium is a consequence of variation in correlation function of the refractive index inhomogeneities. The strength of radiation scattered in a particular direction depends on the spatial correlation function of the refractive index fluctuations of the medium. An attempt is made to explain some of the experimentally observed spectral intensity variations, particularly dye emission propagation through liquid flowing medium, in the presence of thermal and flow field.

Cubic scattering coefficient in concentration in dense random media

1996 ◽  
Author(s):  
Sergio De Nicola
Keyword(s):  
Random Media ◽  
Scattering Coefficient

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

2009 ◽  
Vol 34 (12) ◽  
pp. 1891 ◽  
Author(s):  
Jeremy D. Rogers ◽  
İlker R. Çapoğlu ◽  
Vadim Backman
Keyword(s):  
Light Scattering ◽  
Born Approximation ◽  
Random Media ◽  
Elastic Light Scattering

Viscoacoustic wave propagation in 2-D random media and separation of absorption and scattering attenuation

Geophysics ◽  
1995 ◽  
Vol 60 (2) ◽  
pp. 459-467 ◽  
Author(s):  
Guido Kneib ◽  
Serge A. Shapiro
Keyword(s):  
Wave Propagation ◽  
Random Media ◽  
Wave Amplitude ◽  
Travel Distance ◽  
Scattering Coefficient ◽  
Nonlinear Dependence ◽  
Scattering Attenuation ◽  
Coherent Field ◽  
The Mean ◽  
Seismic Amplitudes

Wave theoretical analysis of scalar, time‐harmonic waves propagating in a constant density medium with isotropic, random velocity fluctuations and being scattered mainly in the forward direction yields a simple and robust procedure that combines the logarithm of the mean wave amplitude with the mean logarithm of the wave amplitude to perform a separation of scattering attenuation and absorption effects. Finite‐difference simulations of wave propagation in 2-D random media with a Voigt‐body rheology illustrate the evolution of wave field fluctuations and demonstrate that the separation procedure works for a wide range of seismic albedos. In the case of no absorption, the logarithms of seismic amplitudes will have a nonlinear dependence on the travel distance if the wavefield fluctuations are small compared to the amplitude of the coherent field. If these fluctuations are large, the logarithms of seismic amplitudes will tend to constant levels independent of the travel distance. In the case of random viscoacoustic media and at propagation distances larger than the inverse of the scattering coefficient of the coherent field, and apart from geometrical spreading, the overall amplitude decrease will be predominated by absorption, even if the absorption coefficient is one order smaller than the scattering coefficient of the coherent field.

scholarly journals Structural length-scale sensitivities of reflectance measurements in continuous random media under the Born approximation

2012 ◽  
Vol 37 (24) ◽  
pp. 5220 ◽  
Author(s):  
Andrew J. Radosevich ◽  
Ji Yi ◽  
Jeremy D. Rogers ◽  
Vadim Backman
Keyword(s):  
Born Approximation ◽  
Random Media ◽  
Length Scale ◽  
Reflectance Measurements ◽  
Structural Length
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