Beam photon flux

In traditional Fan-Beam CT the radiation emitted from the X-ray tube is collimated to a planar fan, and so most of the intensity is wasted in the collimator blades (Fig. 2a). Cone-Beam CT, where the X-rays not only diverge in the horizontal, but also in the vertical direction, allows to use nearly the whole emitted beam-profile and so makes best use of the available LINAC photon flux (Fig. 2b). So fast scanning of the samples three-dimensional structure is possible. For Cone-Beam 3D-reconstruction special algorithms, taking in consideration the vertical beam divergence of the rays, were developed. 

Temperatures as high as 2,500 K have been achieved by laser heating (LH). For such LHDAC experiments, the sample size was around 50-100 pm, the laser beam was focused to about 40 pm, and the synchrotron beam was microfocused to about 10 pm in diameter [70]. The photon-flux for the 14.4 keV ( Fe) synchrotron radiation at the focusing spot was about 10 photons s with a 1 meV energy bandwidth. This flux was reduced by a 5 mm path through diamond, via photo absorption, to 25% of its original value. For comparison the flux of the 21.5 keV radiation of Eu would be reduced to only 60%. 

Insertion devices are placed in the electron path of a synchrotron. They increase the photon flux by several orders of magnitude. Similar to the FEL principle they operate by forcing the electrons on a wavy path. At each bend of the path synchrotron light is emitted. In contrast to the FEL device there is no coherence. Instead, the light intensity sums up to form the effective beam. Two kind of insertion devices are used. In wigglers the curvature of the electron path is high. In undulators it is relatively low. 

Calibration to absolute intensity means that the scattered intensity is normalized with respect to both the photon flux in the primary beam and the irradiated volume V. Thereafter the scattering intensity is either expressed in terms of electron density or in terms of a scattering length density. Both definitions are related to each other by Compton s classical electron radius. 

Figure 3 shows one of our photoacoustic cell for X-ray spectroscopy of solid samples The cylindrical cell has a sample chamber at the center with volume of 0.16 cm which has two windows of beryllium (18 mm x 0.5 mm thickness). A microphone cartridge is commercially available electret type (10 mm ) and the electronics of preamplifier for this microphone is detailed elsewhere Figure 4 shows the typical experimental setup for spectroscopic study X-ray was monochromated by channel cut silicon double crystal (111) and ion chamber was set to monitor the beam intensity. Photoacoustic signal intensity was always divided by the ion chamber current for the normalization against the photon flux. X-ray was modulated by a rotating lead plate (1 mm thick) chopper with two blades. 

Nonlinear light-matter interactions have been successfully applied to create new visualization contrast mechanisms for optical microscopy. Nonlinear optical microscopy employs femtosecond and picosecond lasers to achieve a high photon flux density by focusing the beam onto a sample with a high numerical aperture (NA) microscope... 

Photon flux density and the average power of the incident beam were varied in a wide range that exceeded the current possibihties. Highest estimates of the photon-pair yields from SPDC sources, given in the hterature, are in the megahertz range [74]. Therefore we assiune an overestimated pair rate of 10 s which corresponds to the photon flux density of 4 x 10 cm s for a circiflar area with diameter of 0.8 pm. 

The light-intensity (or photon flux) of the laser beam (/0) was calculated from the measured power output and from the known value of the energy of the photons at the desired wavelength 328 kJ.mol-1 for the emission line at 363.8 nm and 354 kJ.mol-1 for the emission line at 337.1 nm. The maximum value of /0 obtained at full power operation were respectively ... 

Theoretical estimates of the erosion of the first wall and plasma contamination due to sputtering requires a knowledge of particle and photon fluxes to the wall, as well as data on the erosion yields. Sputtering will be discussed in a later part of this chapter. Here we shall briefly summarize some of the calculations done on primary fluxes in future fusion reactors. The calculations are rather uncertain because of the poor understanding of various parameters such as divertor efficiency, refueling, neutral beam heating, plasma temperature and density profiles, including the scrape-off layer in the case of divertor operated Tokamaks. 

In contrast to the image dissector, which measures the photon flux, the vidicon is an integrating device, where the target serves as a memory buffer, storing information until the scanning electron beam reads and erases it. 

Reference and sample measurements are performed consecutively, and the resultant (sample) spectrum is obtained as the ratio of the two photon fluxes onto the detector. In a single-beam spectrometer, there are no other options in a double-beam spectrometer, the photon fluxes of the sample and reference beam path are compared. When an integrating sphere is used with two ports and a white standard in the reference position, the photon fluxes are comparable to each other, and no problems occur. Note that the ports are part of the sphere and that any material change in the reference or sample position will change the average sphere reflectance pave. The reference measurement should be conducted with exactly the same components (windows) as the sample measurement otherwise, "substitution errors" may occur. 

---