Methods for Calculating a Mathematical Model for Determining the Electromagnetic Field in Conducting Ferromagnetic Layer

2020 ◽  
pp. 485-497
Author(s):  
Yaroslav Pelekh ◽  
Andrii Kunynets ◽  
Serhii Mentynskyi ◽  
Bohdan Fil ◽  
Pavlo Pukach
Keyword(s):  
Mathematical Model ◽  
Electromagnetic Field ◽  
Ferromagnetic Layer

scholarly journals DOPPLER SPECTRUM MATHEMATICAL MODEL OF SIGNAL SCATTERING FROM SEA SURFACE AT LOW GRAZING ANGLES

2019 ◽  
Vol 22 (3) ◽  
pp. 63-73
Author(s):  
Mikhail A. Borodin ◽  
Vyacheslav N. Mikhaylov ◽  
Polina A. Filippova
Keyword(s):  
Mathematical Model ◽  
Electromagnetic Field ◽  
Surface Condition ◽  
Scattering Problem ◽  
Microwave Frequency ◽  
Ecological Monitoring ◽  
Sea Surface ◽  
Doppler Spectrum ◽  
Random Component ◽  
Grazing Angles

Introduction. Doppler spectra of signals which are scattered from sea surface and received by radar is used in oceanology and ecological monitoring applications. Existing models of Doppler spectra have the limitation of application because they are based on empirical data in changing conditions. Variability of the observation conditions critically influence on microwaves scattering by sea surface at low grazing angles which is typical for marine radiolocations. Objective. The goal of investigation proposed in this article is to develop the mathematical model of Doppler spectra at low grazing angles for microwave frequency range. Materials and methods. The two-dimensional problem of the scattering of an electromagnetic field on a cylindrical deterministic surface is considered. For generating of sea surface realizations is used linear model with spatial sea spectrum Elfohaily. The solution of the scattering problem is obtained for the case of vertical polarization of the incident electromagnetic field by the method of an integral equation with the control of the error of the solution. The mathematical modeling of the Doppler Spectrum of signal scattered by sea surface is produced by method of statistical trial. The case where the direction of the observation of the sea surface by radar is perpendicular to the direction of the wind is considered. The electromagnetic filed scattered in the direction of the radar receiver as a function of time is calculated for each generated sea surface realizations. Further, the set of variables of the implementation of scattered field is calculated for implementation of the Doppler spectrum. Results. The set of implementations of the Doppler spectrum provided its mathematical model with consist of deterministic and random component. The approximation of each aforesaid component is suggested and mathematical expressions for value component calculation are presented. The analyze of modeling result is produced. Conclusion. The developed mathematical model is offered to use for the design of algorithm sea surface condition estimation and pollutant detection using the signal which received by radar.

scholarly journals Shubnikov–de Haas Oscillations in Semiconductors at the Microwave-Radiation Absorption

2019 ◽  
Vol 2019 ◽  
pp. 1-5
Author(s):  
G. Gulyamov ◽  
U. I. Erkaboev ◽  
A. G. Gulyamov
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Electromagnetic Field ◽  
Microwave Radiation ◽  
Three Dimensional ◽  
Radiation Absorption ◽  
Narrow Gap ◽  
Proposed Model ◽  
Different Temperatures ◽  
Shubnikov De Haas Oscillations

Mathematical models for the Shubnikov-de Haas oscillations in semiconductors are obtained at the microwave-radiation absorption and its temperature dependence. Three-dimensional image of microwave magnetoabsorption oscillations in narrow-gap semiconductors is established. Using a mathematical model, the oscillations of the microwave magnetoabsorption are considered for different values of the electromagnetic field. The results of calculations are compared with experimental data. The proposed model explains the experimental results in HgSe at different temperatures.

scholarly journals Mathematical Model Optimization Techniques under Unreliable Electromagnetic Field for ECG Waves

2021 ◽  
pp. 184-190
Keyword(s):  
Mathematical Model ◽  
Electromagnetic Field ◽  
Mobile Phone ◽  
Human Body ◽  
Human Heart ◽  
Optimization Techniques ◽  
Variation Of Parameters ◽  
Mathematical Expressions ◽  
Electrocardiogram Ecg ◽  
Day By Day

The electrocardiogram (ECG) has significant scientific importance for analyzing the majority of cardiovascular diseases. On one side the technologies are growing very fast, on the other side there is a need to check and balance their effect on human health. The activity of the heart ECG voltage vector is well explained by the modeling of the ECG wave. It is one of the essential tools to do so. In the proposed work we tried to elucidate a mathematical model for the ECG wave by presumptuous the human body as a cylindrical complex dielectric and conducting medium. The human heart is considered as a harmonic bio-signal generator positioned in this medium. Nowadays, technologies are enhancing in various aspects as the graph of mobile phone users increasing rapidly day by day. Essentially, it needed to understand its side effects on the human body and especially for the health of the human heart. The electrical equivalent of the heart can be used to develop a mathematical model for the human heart as per its functioning. The ECG parameters which are affecting due to the electromagnetic wave can be analyzed using a proposed mathematical model. If mathematical expressions are available relations can be formed and understand for each part of the human heart. As mobile phone and its, some component gives electromagnetic exposure to the human body. Hence there is a need to develop a model of the human heart using mathematical analysis. Hence, this paper proposes a mathematical model for ECG and variation of parameters due to electromagnetic field- based.

scholarly journals Radiation transport simulation in an electron accelerator

2021 ◽  
pp. 1-14
Author(s):  
Fyodor Nikolaevich Voronin ◽  
Aleksandr Duhanin Aleksandr Duhanin ◽  
Evgeniy Davidovich Kazakov ◽  
Oleg Sergeevich Kosarev ◽  
Mikhail Borisovich Markov ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Electromagnetic Field ◽  
Electron Accelerator ◽  
Electron Flux ◽  
Radiation Transport ◽  
Physical Experiment ◽  
High Current ◽  
Bremsstrahlung Radiation ◽  
Order Of Magnitude ◽  
The Mathematical Model

An experimental verification of the mathematical model of the generation of bremsstrahlung radiation by electrons and the formation of an electromagnetic field during its scattering is considered. A physical experiment was used in which a high-current accelerator formed bremsstrahlung in a target-converter, as well as an emission electron flux and an electromagnetic field in a sealed chamber. The results of physical and simulating computational experiments coincided to within an order of magnitude.

Analysis of Two-Dimensional and Three-Dimensional Simulation of the Disc Eddy Current Braking Device

2012 ◽  
Vol 516-517 ◽  
pp. 553-557
Author(s):  
Zhi Ding Ying ◽  
Yu Long Fang ◽  
Xin Fu Xu ◽  
Wei Sun ◽  
Yang Chu
Keyword(s):  
Mathematical Model ◽  
Electromagnetic Field ◽  
Field Distribution ◽  
Eddy Current ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Electromagnetic Field Distribution ◽  
Braking Torque ◽  
Dimensional Simulation

To analyze the variation of electromagnetic field distribution, a mathematical model of the eddy current brake (ECB) is established and the two-dimensional simulation and three-dimensional simulation are comparatively analyzed. Then the curves of the braking torque of the ECB at different speeds are obtained by the simulations. The characteristics of two-dimensional and three-dimensional simulation of the electromagnetic field of the ECB are summarized by contrasted comparative curves between simulation date and test date. The analysis is helpful to optimizing the application of electromagnetism by using software.

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