04686nam a22005655i 4500 978-3-031-38423-3 DE-He213 20251030110811.0 cr nn 008mamaa 230811s2024 sz | s |||| 0|eng d 9783031384233 978-3-031-38423-3 10.1007/978-3-031-38423-3 doi TK1-9971 THR bicssc TEC007000 bisacsh THR thema Vasetsky, Yuriy. author. aut http://id.loc.gov/vocabulary/relators/aut 65585 Electromagnetic Field Near Conducting Half-Space [electronic resource] : Theory and Application Potentials / by Yuriy Vasetsky, Artur Zaporozhets. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. VII, 124 p. 53 illus., 32 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Lecture Notes in Electrical Engineering, 1876-1119 ; 1070 1.Electromagnetic Field of Arbitrary Spatial Current Contour Located near Conducting Body with Flat Surface -- 2.Approximate Mathematical Models for the Analysis of Alternating Electromagnetic Field of Sources near Conducting Body -- 3.Penetration of Non-Uniform Sinusoidal Electromagnetic Field into Conducting Half-Space -- 4.Three-Dimensional Pulsed Electromagnetic Field of Current Flowing Near Conducting Half-Space. The book is devoted to the solution of one general problem of the theory of a three-dimensional quasi-stationary sinusoidal and pulse electromagnetic field. These studies, unlike many well-known works, are based on obtained exact analytical solution of the problem for the field, generated by external current sources near the conducting body with plane surface. The solution for the vector and scalar potentials, electric and magnetic intensities in the dielectric and conducting media is found without restrictions on the configuration of current sources, properties of the media and field frequency. Some general properties of field formation for arbitrary field in the considered system are obtained (in particular, full compensation by the field of the electric charge distributed on the interface between the media, the normal component of the induced external electric field and, accordingly, the equality to zero the components both of the current density and the electric field intensity perpendicular to the interface; the non-uniform electromagnetic field decreases in depth of conducting medium faster than uniform field). It is shown that the exact analytical solution depends on the values of the parameter proportional to the ratio of the field penetration depth to the distance between the external field sources and the body. The concept of strong skin effect is extended to the case of small value of the introduced parameter. A significant simplification of the expressions was obtained as an asymptotic expansion on this small parameter. In the case of pulsed fields approximate method gives the highest accuracy during important initial period of pulse time. For asymptotic expansion the approximate impedance boundary condition is generalized to the diffusion of non-uniform field into conducting medium. The book is intended for the researchers, postgraduate students and students specialized in theory and calculations of electromagnetic fields. Electrical engineering. 65586 Engineering mathematics. 64145 Engineering Data processing. Electrodynamics. 65587 Electrical and Electronic Engineering. 65588 Mathematical and Computational Engineering Applications. 65589 Classical Electrodynamics. 65590 Zaporozhets, Artur. author. (orcid)0000-0002-0704-4116 https://orcid.org/0000-0002-0704-4116 aut http://id.loc.gov/vocabulary/relators/aut 65591 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031384226 Printed edition: 9783031384240 Printed edition: 9783031384257 Lecture Notes in Electrical Engineering, 1876-1119 ; 1070 65592 https://doi.org/10.1007/978-3-031-38423-3 ZDB-2-ENG ZDB-2-SXE 56230 56230