Accurate and efficient simulation of an x-ray transform for representative structures plays an important role in research and development of x-ray CT, for the evaluation and improvement of CT image reconstruction algorithms, in particular. Superquadrics are a family of three-dimensional objects, which can be used to model a variety of anatomical structures. In this paper, we propose an algorith...

The linewidth of a 14.7 nm wavelength Ni-like Pd soft x-ray laser was measured in a single shot using a soft x-ray diffraction grating interferometer. The instrument uses the time delay introduced by the gratings across the beam to measure the temporal coherence. The spectral linewidth of the 4d1S0-4p1P1 Ni-like Pd lasing line was measured to be Δλ/λ=3×10(-5) from the Fourier transform of the f...

We prove local injectivity near a boundary point for the geodesic X-ray transform an asymptotically hyperbolic metric even mod $O(\rho^5)$ in dimensions three and higher.

We consider a finite field model of the X-ray transform that integrates functions along lines in dimension 3, within context fields. The admissibility problem asks for minimal sets which restricted is invertible. Graph theoretic conditions are known characterize admissible collections lines, and these have been counted using brute force computer program. Here we perform count by hand and, at sa...

We study the X-ray transform over a generic family of smooth curves in $${\mathbb {R}}^2$$ with Riemannian metric g. show that singularities cannot be recovered from local data presence conjugate points, and therefore artifacts may arise reconstruction. perform numerical experiments to illustrate results.

Strong characteristic Kα X-ray lines are accompanied by weak lines due to the radiative Auger effect (RAE) [1, 2]. The characteristic Kα fluorescent X-rays (K-L2,3 lines) are emitted by the 2p→1s electric dipole transition after one of the 1s electron photoionization, Though the probability is less than 0.01, one of the 2p electrons is excited into an unoccupied discrete or continuum level simu...