Mathematical modeling of a satellite communications network

A dynamic multiple-access protocol with notification of clashes is proposed for operation with a satellite communications network. Mathematical modeling is used to find some basic probabilistic and temporal characteristics of the network: the throughput, the wait time, etc. It thus becomes possible to determine the region of initial parameter values in which this protocol is more effective than the ALOHA network protocol.V. D. Kuznetsov Siberian Physicotechnical Institute, Tomsk State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 120–127, September, 1992.     

Collective modes in an open microwave billiard

Numerical calculations for a microwave Sinai billiard coupled strongly to a lead are performed as a function of the coupling strength between billiard and lead. They prove the formation of different time scales in an open quantum system at large coupling strength. The short-lived collective states are formed together with many long-lived trapped states.     

Application of high-frequency magnetron sputtering to deposit thin calcium-phosphate biocompatible coatings on a titanium surface

Thin calcium-phosphate coatings were deposited on titanium substrates by high-frequency magnetron sputtering. The elemental composition of coatings and types of chemical bonds were studied by Rutherford backscattering (RBS) and Fourier transform infrared spectroscopy (FTIR), respectively. An analysis of the IR spectra detected absorption bands caused by vibrations of phosphate PO ₄ ^3? groups and pyrophosphate H₂PO ₄ ^? anions, which are typical of apatites. The RBS results showed that the coating contains elements typical of calcium phosphates, i.e., Ca, P, and O; 45.4 ± 1.1, 3.6 ± 0.5, and 41.1 ± 0.7 at %, respectively. The Ca/P atomic ratio depends on sputtering conditions and varies in the range 1.7–4.0. The physicomechanical characteristics of the coatings and their solubility in a biological liquid were studied. The grown coatings can significantly reduce dissolution of substrates and extraction of dopants into the surrounding solution.     

Solvent resonance effect on the anisotropy of NO(-)(N(2)O)(n) cluster anion photodetachment

Photodetachment from NO(-)(N(2)O)(n) cluster anions (n< or =7) is investigated using photoelectron imaging at 786, 532, and 355 nm. Compared to unsolvated NO(-), the photoelectron anisotropy with respect to the laser polarization direction diminishes drastically in the presence of the N(2)O solvent, especially in the 355 nm data. In contrast, a less significant anisotropy loss is observed for NO(-)(H(2)O)(n). The effect is attributed to photoelectron scattering on the solvent, which in the N(2)O case is mediated by the (2)Pi anionic resonance. No anionic resonances exist for H(2)O in the applicable photoelectron energy range, in line with the observed difference between the photoelectron images obtained with the two solvents. The momentum-transfer cross section, rather than the total scattering cross section, is argued to be an appropriate physical parameter predicting the solvent effects on the photoelectron angular distributions in these cluster anions.     

Explicit asymptotic modelling of transient Love waves propagated along a thin coating

An explicit asymptotic model for transient Love waves is derived from the exact equations of anti-plane elasticity. The perturbation procedure relies upon the slow decay of low-frequency Love waves to approximate the displacement field in the substrate by a power series in the depth coordinate. When appropriate decay conditions are imposed on the series, one obtains a model equation governing the displacement at the interface between the coating and the substrate. Unusually, the model equation contains a term with a pseudo-differential operator. This result is confirmed and interpreted by analysing the exact solution obtained by integral transforms. The performance of the derived model is illustrated by numerical examples     

XES investigation of the layered vanadium-substituted copper-chromium disulfides

XRD data on the layered vanadium-substituted copper-chromium disulfides (CuCr_1?x V _x S₂, x = 0?0.4) are compared with the data obtained by X-ray emission and photoelectron spectroscopies.