Transient Magnetic Fields

Beschreibung

This book is an original study aimed at understanding how vacuum magnetic fields change with time. Specifically, it describes the waves that radiate from a sphere when the electric current on its surface is turned on or off, either suddenly, gradually, or periodically.Numerical simulations are an invaluable source of information about this and related subjects, but they are often more difficult to interpret than exact, closed-form solutions that can easily be applied to a variety of situations. Thus, the objective here is to obtain an exact solution of Maxwell’s equations in closed form—something simple, yet rigorous, which can be used as a model for understanding transient magnetic fields in more complicated situations. The work therefore stands as a self-contained solution of Maxwell’s equations for an electric current wrapped around the surface of a sphere.This study assumes a strong background in electromagnetism or a related research area. Online animations are available for each figure to better illustrate the motions of magnetic field lines.
This book is an original study aimed at understanding how vacuum magnetic fields change with time. Specifically, it describes the waves that radiate from a sphere when the electric current on its surface is turned on or off, either suddenly, gradually, or periodically.
Numerical simulations are an invaluable source of information about this and related subjects, but they are often more difficult to interpret than exact, closed-form solutions that can easily be applied to a variety of situations. Thus, the objective here is to obtain an exact solution of Maxwell’s equations in closed form—something simple, yet rigorous, which can be used as a model for understanding transient magnetic fields in more complicated situations. The work therefore stands as a self-contained solution of Maxwell’s equations for an electric current wrapped around the surface of a sphere.
This study assumes a strong background in electromagnetism or a relatedresearch area. Online animations are available for each figure to better illustrate the motions of magnetic field lines.
Provides a simple way of understanding how magnetic fields change with time Includes online animations of magnetic field lines Uniquely explains electromagnetic radiation generation, where an “electron scattering” analogue falls out naturally from the solution of Maxwell’s equations

Autor*in

Jr. Sheeley

Themen in »Transient Magnetic Fields«

vacuum magnetic fields sudden turn-on current radiated energy for a linear on-ramp reduced vector potential LQ on-ramp field lines for an on-ramp exponential off-ramp symmetric cubic on-ramp 1o/mo boundary

Stimmen zu »Transient Magnetic Fields«

“This book is a comprehensive report from the author’s theoretical investigations on transient magnetic fields … . All necessary calculations have been done analytically and presented in a very accessible manner, enabling the reader to follow them with ease. … The book has been carefully edited. It includes many color drawings showing the calculated magnetic field configurations.” (Radosław Szmytkowski, zbMATH 1479.78002, 2022)
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