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Note 1: Aperture-to-medium coupling loss is related to the ratio of the scatter angle to the antenna beamwidth. Note 2: The "very large antennas" are referred to in wavelengths; thus, this loss can apply to line-of-sight systems also.
In gamma-ray spectrometry, the Compton edge is a feature of the measured gamma-ray energy spectrum that results from Compton scattering in the detector material. It corresponds to the highest energy that can be transferred to a weakly bound electron of a detector's atom by an incident photon in a single scattering process, and manifests itself as a ridge in the measured gamma-ray energy spectrum.
To normalize the detectors, a measurement of a pure solvent is made first. Then an isotropic scatterer is added to the solvent. Since isotropic scatterers scatter the same intensity at any angle, the detector efficiency and gain can be normalized with this procedure. It is convenient to normalize all the detectors to the 90° angle detector.
Small-angle scattering (SAS) is a scattering technique based on deflection of collimated radiation away from the straight trajectory after it interacts with structures that are much larger than the wavelength of the radiation. The deflection is small (0.1-10°) hence the name small-angle. SAS techniques can give information about the size ...
Then the angle of the rotation is the angle between v and Rv. A more direct method, however, is to simply calculate the trace : the sum of the diagonal elements of the rotation matrix. Care should be taken to select the right sign for the angle θ to match the chosen axis:
The numerical aperture with respect to a point P depends on the half-angle, θ 1, of the maximum cone of light that can enter or exit the lens and the ambient index of refraction. As a pencil of light goes through a flat plane of glass, its half-angle changes to θ 2 .
The formula describes both the Thomson scattering of low energy photons (e.g. visible light) and the Compton scattering of high energy photons (e.g. x-rays and gamma-rays), showing that the total cross section and expected deflection angle decrease with increasing photon energy.
Online Mie scattering calculator provides simulation of scattering properties (including multipole decomposition) and near-field maps for bulk, core-shell, and multilayer spheres. Material parameters include all nk-data files from refractiveindex.info website. The source code is part of Scattnlay project.