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Electromagnetic field near conducting half-space = theory and application potentials /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Electromagnetic field near conducting half-space/ by Yuriy Vasetsky, Artur Zaporozhets.
其他題名:	theory and application potentials /
作者:	Vasetsky, Yuriy.
其他作者:	Zaporozhets, Artur.
出版者:	Cham :Springer Nature Switzerland : : 2024.,
面頁冊數:	vii, 124 p. :ill. (some col.), digital ;24 cm.
內容註:	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.
Contained By:	Springer Nature eBook
標題:	Electromagnetic fields. -
電子資源:	https://doi.org/10.1007/978-3-031-38423-3
ISBN:	9783031384233

Electromagnetic field near conducting half-space = theory and application potentials /
Vasetsky, Yuriy.

Electromagnetic field near conducting half-spacetheory and application potentials /[electronic resource] :by Yuriy Vasetsky, Artur Zaporozhets. - Cham :Springer Nature Switzerland :2024. - vii, 124 p. :ill. (some col.), digital ;24 cm. - Lecture notes in electrical engineering,v. 10701876-1119 ;. - Lecture notes in electrical engineering ;v. 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.

ISBN: 9783031384233

Standard No.: 10.1007/978-3-031-38423-3doiSubjects--Topical Terms:

524500
Electromagnetic fields.

LC Class. No.: QC665.E4

Dewey Class. No.: 530.141

Electromagnetic field near conducting half-space = theory and application potentials /
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520 $a 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.
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