where [C.sub.e[lambda]] is extinction cross section, [C.sub.s[lambda]] is the scattering cross section
, [k.sub.0] is the wavenumber in the outer medium, and a and b are coefficients that are functions of the complex refractive index of the fiber, the incident angle, the radius of the fiber, and the wavelength.
After an extensive analysis throughout the periodic table, using also ENDF library and JANIS software, it was found that only a few isotopes exhibit an intense peak of scattering cross section
at the desired energy range (Table 2).
The scattering cross section
and extinction cross section of particle are evaluated by
There is an interesting opportunity to estimate the total scattering cross section
[sigma] from data on [v.sub.t] presented in Table 3, namely, equations (15)-(18) in , where the collision integral frequencies are expressed through the parameters of the intermolecular potential [U.sub.jn] (r) = - [C.sub.jn]/[r.sup.n] (here j denotes a molecular state), allow expressing the real part of [v.sub.t] via [sigma] averaged over velocities.
The BPT/VRPT fist-order solution is hereinafter detailed for a monostatic configuration in terms of normalized radar scattering cross section
Figure 1(b) shows measured resonant extinction per NP for 16 nm AuNP with negligible scattering cross section
randomly dispersed in PDMS films (blue circles).
Joy, "Calculations of Mott scattering cross section
," Journal of Applied Physics, vol.
In fact, the incoherent scattering cross section
for a POPC molecule is about 95% of the total cross section and is due to the predominant incoherent scattering of hydrogen in the biomolecules.
The Rayleigh scattering intensity, [I.sub.R], is given by Equation 2 where [eta] is the optical system's collection efficiency, [I.sub.I] is the incident laser intensity, N is the number density of the gas, l is the test section length, and [partial derivative][[sigma].sup.R]/[partial derivative][OMEGA] is the differential Rayleigh scattering cross section
dependent on the solid angle, [OMEGA], subtended by the viewing optics .[partial derivative][[sigma].sup.R]/[partial derivative][OMEGA]
The scattering coefficient denoted as 5 is defined as the product of the number of particles by unit volume, noted as [[rho].sub.0], with the scattering cross section
Differential scattering cross section
per unit volume: