First, both μa and μs' are treated as unknown variables and the estimated values of the two parameters for all the samples are obtained. Second, the μs' values obtained in the first step are fitted with the wavelength-dependent function μs' = αλ−β, which holds for a large ...
The primary reason why Rayleigh, or molecular, scattering theory has limited applicability to visible and infrared energy transmission is that the air normally carries in suspension many particles that are comparable to or larger than the wavelength of the transmitted energy. The effect of these parti...
We then explore the extent to which a unique classical Compton amplitude can be identified by comparing with the results of the classical process of scattering long-wavelength gravitational waves off an exact Kerr black hole, determined by appropriate solutions of the Teukolsky equation. Up to ...
Measurements have been made of the transmission of neutrons of wave-lengths between 5 and 10 through 10 cm of unirradiated and pile irradiated Brazilian quartz crystals. The total transmission cross section of the unirradiated crystal varied as [sgrave]A=0.55+1.63 in the measured wavelength range...
Wavelength determines the length scale of the cross section when electromagnetic waves are scattered by an electrically small object. The cross section diverges for resonant scattering, and diminishes for non-resonant scattering, when wavelength approaches infinity. This scattering law explains the colour ...
Application of silver behenate powder for wavelength calibration of a SANS instrument — a comprehensive study of experimental setup variations and data processing techniques. J. Appl. Cryst. 32, 456–463 (1999). Google Scholar Nygård, K., Bunk, O., Perret, E., David, C. & van der ...
In order to investigate the stochastic properties of the Earth’s internal inhomogeneities, short-wavelength random inhomogeneities are commonly characterized using stochastic medium models introducing characteristic correlation distances and mean square fractional fluctuations (e.g., Sato et al.2012). At fr...
Such suppression of infi- nite-wavelength density fluctuations has generalized the long-range order32,39,43,53–55 of crystals, quasicrystals and correlated disorder, also revealing hidden order in photoreceptors41 and jamming56. A stricter condition of SHU32,37–39, requiring the bounded suppression...
In calculating the scattering fields the ensemble average on the displacements and strains inside the scatterer was found from the static approximation at long wavelength limit. The displacements were assumed to be equal to the incident field, while the strains were calculated by Eshelby's equivalent...
It can be seen that the three correlation functions are simply a function of a and Δr. When Δr is known, the scatterer radius a can be estimated from the correlation function. For the fluid sphere and rigid spherical shell models, when ka→0, corresponding to the long-wavelength or sma...