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In addition to calculating the spectrum and the efficiency for Raman active modes, it is shown that the negligible wave-vector of the phonons involved in this type of scattering allows for the use of the bandgap "pinching" effect to arrive at specific layer thicknesses for Si and Ge that optimize the scattering efficiency.
We present an approximation to the radiative transfer equation, which can be applied to this type of scattering case.
In order to overcome the challenges involved with direct curve fitting, the basic principle is to introduce one type of scattering nanoparticles, of which the optical properties (i.e. scattering, absorption, and backscattering cross-sections or coefficients) can be conveniently calculated (e.g. using Mie theory or DDA).
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This list determines type of scatter plot, bandwidth of smooth and layout setup.
The type of scatter (homoscedastic or heteroscedastic) was determined as follows.
Therefore, it is important to know the type of scatter of the parameters in which we are interested.
The coefficient of repeatability (CR) was calculated, and, in addition, linear regression was performed to investigate the type of scatter (homo- or heteroscedastic) of the measured parameters.
The type of scatter was only examined after one hour, and it may be different when other intervals are taken into account.
CR was used instead of the more common coefficient of variation (CV) because CV does not take into account the type of scatter that can be visualized by the scatter plots of Bland and Altman [ 11].
The type of scatter was heteroscedastic for all of the parameters when the differences were expressed as absolute values; however, when the differences were expressed as the percent change from the initial values, we found a more homoscedastic scatter.
Therefore, we took three value pairs per parameter for each patient with a one-hour difference (9-10, 10-11 and 14-15 hours) for determination of the type of scatter and the one-hour coefficient of repeatability.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com