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020 _a9783031384233
_9978-3-031-38423-3
024 7 _a10.1007/978-3-031-38423-3
_2doi
050 4 _aTK1-9971
072 7 _aTHR
_2bicssc
072 7 _aTEC007000
_2bisacsh
072 7 _aTHR
_2thema
100 1 _aVasetsky, Yuriy.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_965585
245 1 0 _aElectromagnetic Field Near Conducting Half-Space
_h[electronic resource] :
_bTheory and Application Potentials /
_cby Yuriy Vasetsky, Artur Zaporozhets.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aVII, 124 p. 53 illus., 32 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Electrical Engineering,
_x1876-1119 ;
_v1070
505 0 _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.
520 _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.
650 0 _aElectrical engineering.
_965586
650 0 _aEngineering mathematics.
_964145
650 0 _aEngineering
_xData processing.
650 0 _aElectrodynamics.
_965587
650 1 4 _aElectrical and Electronic Engineering.
_965588
650 2 4 _aMathematical and Computational Engineering Applications.
_965589
650 2 4 _aClassical Electrodynamics.
_965590
700 1 _aZaporozhets, Artur.
_eauthor.
_0(orcid)0000-0002-0704-4116
_1https://orcid.org/0000-0002-0704-4116
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_965591
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031384226
776 0 8 _iPrinted edition:
_z9783031384240
776 0 8 _iPrinted edition:
_z9783031384257
830 0 _aLecture Notes in Electrical Engineering,
_x1876-1119 ;
_v1070
_965592
856 4 0 _uhttps://doi.org/10.1007/978-3-031-38423-3
912 _aZDB-2-ENG
912 _aZDB-2-SXE
999 _c56230
_d56230