5 Preface
6 Begin Reading
7 Appendix 1 Mathematical Formulae1
8 Appendix 2 Vector Calculations
9 Appendix 3 Frequency Spectrum
10 Appendix 4 The Decibel
11 Appendix 5 The International Visibility Code
12 List of Acronyms and Constants
13 List of Authors
14 Index
15 End User License Agreement
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SCIENCES
Waves , Field Directors – Pierre-Noël Favennec, Frédérique de Fornel
Electromagnetism , Subject Head – Pierre-Noël Favennec
Electromagnetic Waves 1
Maxwell’s Equations, Wave Propagation
Coordinated by
Pierre-Noël Favennec
First published 2020 in Great Britain and the United States by ISTE Ltd and John Wiley & Sons, Inc.
Apart from any fair dealing for the purposes of research or private study, or criticism or review, as permitted under the Copyright, Designs and Patents Act 1988, this publication may only be reproduced, stored or transmitted, in any form or by any means, with the prior permission in writing of the publishers, or in the case of reprographic reproduction in accordance with the terms and licenses issued by the CLA. Enquiries concerning reproduction outside these terms should be sent to the publishers at the undermentioned address:
ISTE Ltd
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© ISTE Ltd 2020
The rights of Pierre-Noël Favennec to be identified as the author of this work have been asserted by him in accordance with the Copyright, Designs and Patents Act 1988.
Library of Congress Control Number: 2020937434
British Library Cataloguing-in-Publication Data
A CIP record for this book is available from the British Library
ISBN 978-1-78945-006-4
ERC code:
PE2 Fundamental Constituents of Matter
PE2_6 Electromagnetism
Pierre-Noël FAVENNEC
ArmorScience, Lannion, France
Any electric charge set in motion produces electromagnetic radiation which propagates in space. This property is the basis of radioelectric, or photonic radiation production, used in particular in radio, television and communication systems among others. Any system supplied with electricity, or any element provided with electric charge, emits electromagnetic radiation and generates an electric and/or magnetic field in its close, or even distant, vicinity which is known as an “electromagnetic field”.
Before Maxwell’s work, we understood physical reality in terms of material points. After it, we represented physical reality with continuous fields. The concept of a field finds its origin, and its name, in the idea of describing a physical phenomenon from an underlying medium, which would explain the physical properties of space (a field of forces for a field of wheat subjected to the wind). Following Maxwell’s research, the fields acquired an autonomous existence and reached the status of physical beings in their own right, no longer describing “the place where” but “the thing that”. This movement was largely supported by the development of the mathematical formalism of the fields, in terms of partial differential equations. This, with regard to electricity and magnetism, is the content of Maxwell’s theory which he published in 1861.
Maxwell is one of the greatest scientists, who changed our view of the world. He made a decisive contribution to the unifying and synthetic vision of electricity and magnetism. He showed that two domains, that of electric charges and their interactions and that of currents and magnetism, were only two facets of the same problem. Synthesized by four equations combining in the same formalism their respective characteristic magnitudes. He stated these interactions in clear mathematical language: Maxwell’s equations. The vision of a universe formed by particles was succeeded by a world governed by fields, acting from a distance.
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