LEADER 04586nam 22006255 450 001 9910760289503321 005 20230811141718.0 010 $a3-031-38423-7 024 7 $a10.1007/978-3-031-38423-3 035 $a(MiAaPQ)EBC30684876 035 $a(Au-PeEL)EBL30684876 035 $a(DE-He213)978-3-031-38423-3 035 $a(PPN)27226184X 035 $a(CKB)27973053200041 035 $a(EXLCZ)9927973053200041 100 $a20230811d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aElectromagnetic Field Near Conducting Half-Space $eTheory and Application Potentials /$fby Yuriy Vasetsky, Artur Zaporozhets 205 $a1st ed. 2024. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024. 215 $a1 online resource (131 pages) 225 1 $aLecture Notes in Electrical Engineering,$x1876-1119 ;$v1070 311 08$aPrint version: Vasetsky, Yuriy Electromagnetic Field near Conducting Half-Space Cham : Springer,c2023 9783031384226 327 $a1.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. 330 $aThe book is devoted to the solution of one general problem of the theory of a three-dimensional quasi-stationary sinusoidal and pulse electromagnetic field. These studies, unlike many well-known works, are based on obtained exact analytical solution of the problem for the field, generated by external current sources near the conducting body with plane surface. The solution for the vector and scalar potentials, electric and magnetic intensities in the dielectric and conducting media is found without restrictions on the configuration of current sources, properties of the media and field frequency. Some general properties of field formation for arbitrary field in the considered system are obtained (in particular, full compensation by the field of the electric charge distributed on the interface between the media, the normal component of the induced external electric field and, accordingly, the equality to zero the components both of the current density and the electric field intensity perpendicular to the interface; the non-uniform electromagnetic field decreases in depth of conducting medium faster than uniform field). It is shown that the exact analytical solution depends on the values of the parameter proportional to the ratio of the field penetration depth to the distance between the external field sources and the body. The concept of strong skin effect is extended to the case of small value of the introduced parameter. A significant simplification of the expressions was obtained as an asymptotic expansion on this small parameter. In the case of pulsed fields approximate method gives the highest accuracy during important initial period of pulse time. For asymptotic expansion the approximate impedance boundary condition is generalized to the diffusion of non-uniform field into conducting medium. The book is intended for the researchers, postgraduate students and students specialized in theory and calculations of electromagnetic fields. 410 0$aLecture Notes in Electrical Engineering,$x1876-1119 ;$v1070 606 $aElectrical engineering 606 $aEngineering mathematics 606 $aEngineering$xData processing 606 $aElectrodynamics 606 $aElectrical and Electronic Engineering 606 $aMathematical and Computational Engineering Applications 606 $aClassical Electrodynamics 615 0$aElectrical engineering. 615 0$aEngineering mathematics. 615 0$aEngineering$xData processing. 615 0$aElectrodynamics. 615 14$aElectrical and Electronic Engineering. 615 24$aMathematical and Computational Engineering Applications. 615 24$aClassical Electrodynamics. 676 $a621.3 676 $a530.141 700 $aVasetsky$b Yuriy$01437526 701 $aZaporozhets$b Artur$01437508 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910760289503321 996 $aElectromagnetic Field Near Conducting Half-Space$93598227 997 $aUNINA