Математика и физика. Mathematics & Physics. 2022 15 (6)
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Modeling of the Ice Cover Dynamics of a Freshwater Reservoir
(Сибирский федеральный университет. Siberian Federal University, 2022-11)The paper considers a non-stationary computational model for determining the temperature regime of a reservoir and the dynamics of the ice cover in the cold season. The model is based on the numerical solution of the ... -
The Talbot Effect under Selective Reflection from a Raman Induced Grating
(Сибирский федеральный университет. Siberian Federal University, 2022-11)In the present work, we study the Talbot effect under selective reflection of probe radiation at the interface between a dielectric and a layer of resonant atoms, in which a Raman grating is induced. Under such conditions, ... -
New Fixed Point Results on L-rational Contraction Mappings in b-Metric-Like Spaces
(Сибирский федеральный университет. Siberian Federal University, 2022-11)The purpose of this paper is to prove some new results for L-rational contractive and cyclic L-rational contractive mappings defined in d-complete b-metric-like spaces. Moreover, an example is presented to illustrate ... -
Surface Polariton Propagation in Structure with a Graphene Layer
(Сибирский федеральный университет. Siberian Federal University, 2022-11)The paper considers the process of diffraction of an electromagnetic wave at the interface "vacuum – metal – nonlinear layer (graphene) – semiconductor" with the excitation of a surface wave. Within the framework of the ... -
On the Integration of the Periodic Camassa-Holm Equation with a Self-Consistent Source
(Сибирский федеральный университет. Siberian Federal University, 2022-11)Recently, much attention has been paid to the soliton equations with a self-consistent source. Physically, sources arise in solitary waves with a variable speed and lead to a variety of dynamics of physical models. With ... -
Shortening of the Femtosecond Pulse Duration during Second Harmonic Generation
(Сибирский федеральный университет. Siberian Federal University, 2022-11)The results of theoretical and experimental studies aimed at studying the possibility of reducing the second harmonic (SH) pulse duration during its generation under conditions of phase matching violation are presented ... -
Effect of Temperature on Photoluminescence of Nanodiamonds and Carbon Dots in Aqueous Suspensions
(Сибирский федеральный университет. Siberian Federal University, 2022-11)Carbon nanoparticles – carbon dots and nanodiamonds – possess characteristic broadband photoluminescence, which depends on their functional surface groups. Such photoluminescence also de- pends on the properties of the ... -
On Thermodiffusion of Binary Mixture in a Horizontal Channel at Inhomogeneous Heating the Walls
(Сибирский федеральный университет. Siberian Federal University, 2022-11)The influence of the thermal load distributed unevenly at the walls of a long horizontal channel filled with a binary mixture on the convective flow is studied based on the constructed exact solution of the boundary value ... -
The Influence of Amphiphilic Compounds Self-organization on the Fermi Resonance Contribution in the OH-groups Stretching Band Formation
(Сибирский федеральный университет. Siberian Federal University, 2022-11)The role of Fermi resonance (FR) in the formation of the OH-groups Raman spectra stretch- ing band of aqueous solutions of amphiphilic compounds with different lengths of hydrocarbon radicals: ethanol and sodium octanoate, ... -
Properties of Oxide Nonlinear Crystals in the Wavelength Range Over 600 μm
(Сибирский федеральный университет. Siberian Federal University, 2022-11)Absorption coefficients and refractive index components of polyatomic oxide nonlinear crys- tals LBO, -BBO, and LB4 are determined in the THz range. The possibility of creating of highly efficient radiation sources ... -
Generation of Broadband Radiation During Filamentation of a Femtosecond Laser Pulse in the Atmosphere
(Сибирский федеральный университет. Siberian Federal University, 2022-11)The causes and mechanisms of generation radiation in a wide frequency range during the filamentation of femtosecond laser pulses are analyzed in this work. The reasons for the high directivity of the resulting radiation ... -
Optical Forces Acting on a Particle near Photonic Crystal Surface
(Сибирский федеральный университет. Siberian Federal University, 2022-11)We consider optical forces acting on resonant particles located near the surface of a photonic crystal (PC). The band structure of the PC makes it possible to change the direction of propagation of the BSW (Bloch surface ... -
Heavy Tail Index Estimator through Weighted Least-squares Rank Regression
(Сибирский федеральный университет. Siberian Federal University, 2022-11)In this paper, we proposed a weighted least square estimator based method to estimate the shape parameter of the Frechet distribution. We show the performance of the proposed estimator in a simulation study, it is found ... -
Surface Plasmon-Polaritons In A Two-Layer Graphene Structure With A Dielectric Barrier Layer Under Various Control Regimes
(Сибирский федеральный университет. Siberian Federal University, 2022-11)The dispersion dependences of a symmetric dielectric waveguide with graphene plates were compared in two regimes of graphene potential control from two sides of the structure. A general dispersion relation was obtained, ...