Stable Distributions and Rare Events Statistics in Analysis of the Carbon Fibers Strength and Determination of the Critical Stages of Conversion

AbstractStatistics and correlation analysis method based on stable distributions is presented. Method can be applied to the estimation of the influence of one data set to another with respect to the rare events. In carbon fibers data analysis method allows one to estimate influence of the different defect types on the carbon fiber strength and the influence of the mechanical properties of the carbon fiber on the early stages of conversion on the mechanical properties on the latter stages

The Development of Nuclear Frequency Standard with the Use of Ion Crystals Manipulation System

AbstractThe perspectives for the increase in the accuracy of optical frequency standards by means of the development of “nuclear clocks” – a novel frequency standard based on the nuclear transition to the long-living isomer nuclear state of thorium-229 with energy ∼7.6eV are discussed. Theoretical estimations give a possible accuracy Δν/ν ∼1×10-20, that allows wide scope of applications for a frequency standard, from satellite navigation systems to experimental verification of the principles of the general theory of relativity. The results are presented and the future prospects for research are discussed on the measurement of the isomeric transition in the nucleus of thorium-229 and creation on its basis the frequency standard of the new generation

Multi-spectral image processing for the measurement of a spatial temperature distribution on the surface of a laser-heated microscopic object

In this paper, we demonstrate that combining a laser heating (LH) system with a tandem acousto-optical tunable filter (TAOTF) allows us to measure the temperature distribution (TD) across a laser-heated microscopic specimen. Spectral image processing is based on one-dimensional (1D) non-linear least squares fitting of the Planck radiation function. It is applied for determining the temperature T at each point (x, y) of the specimen surface. It is shown that spectral image processing using the 1D non-linear least squares fitting allows measurement of the TD of the laser-heated microscopic specimen with higher precision and stability than those of the conventional linear least-squares fitting of the Wien approximation of Planck’s law.The Russian Science Foundation (project #17-12-01535) financially supported the work