A wide variety of sources were consulted and condensed to provide detailed derivations and coverage of the topics of neutron and x-ray optics as well as the background material needed to understand the physical and mathematical reasoning directly related or indirectly related to the theory and ...
Fokker–Planck model for x-ray imaging Here we give two complementary derivations of the x-ray Fokker–Planck equation. The first is phenomenolog- ical, based on local conservation of energy in the presence of both coherent and diffusive paraxial x-ray energy transport. The second is a ...
Fokker–Planck model for x-ray imaging Here we give two complementary derivations of the x-ray Fokker–Planck equation. The first is phenomenolog- ical, based on local conservation of energy in the presence of both coherent and diffusive paraxial x-ray energy transport. The second is a ...
A wide variety of sources were consulted and condensed to provide detailed derivations and coverage of the topics of neutron and x-ray optics as well as the background material needed to understand the physical and mathematical reasoning directly related or indirectly related to the theory and ...
This paper's main topic is light transport in anisotropic materials, but the accompanying tech report contains nice derivations of the standard case as well, for the diffusion approximation and the dipole BSSRDF. [Jakob & Marschner 2012] Wenzel Jakob and Steve Marschner. “Manifold exploration: a...
The systems and/or methods described herein and/or derivations thereof can be applied in medical imaging applications such as, but not limited to, cardiac CT, animal x-ray imaging, security scanning systems, non-destructive materials analysis or defect detection, machine vision, systems incorporating...
In Appendix A, we provide more detailed derivations of Equation (10). Figure 1. Schematic illustration of the unified optics model: Toroidal VLS grating. Equation (10) can almost reduce to the 𝐊K matrices of all the optical elements in soft XFEL beamline by adjusting the parameters in ...
The functional derivative of the Lagrangian with respect to the vector potential is same for all values of the classical vector potential as along as the fermionic classical field vanishes. The effective action contains the classical Maxwell action of electrodynamics and an additional term that quantif...