The Mathematical Analysis of Electrical and Optical Wave-Motion on the Basis of Maxwell's Equations (Classic Reprint) - Couverture souple

Borel, Marguerite Appell

Couverture souple

ISBN 10 : 1440089132 ISBN 13 : 9781440089138

Editeur : Forgotten Books, 2018

Synopsis

Explore how Maxwell’s equations shape our understanding of electric and magnetic waves. This foundational work explains the key ideas behind electromagnetic fields in clear, approachable terms, guiding readers from basic concepts to practical methods used in wave analysis.

This edition emphasizes accessible math and practical insight. It presents the fundamental equations, discusses different ways to solve the wave equation, and introduces coordinate systems used in diffraction and wave propagation, all with an eye toward intuition as well as rigor.

• Foundational view of electromagnetic fields and how waves propagate


• Step-by-step discussions of solving the wave equation and applying boundary conditions


• Introduction to coordinate systems used in wave problems, including cylindrical and polar forms


• Discussion of diffraction, multiform solutions, and related mathematical tools

Ideal for readers of advanced physics and engineering who want a rigorous, readable grounding in wave motion and Maxwell’s equations.

A propos du livre

Présentation de l'éditeur

CHAPTER I FUNDAMENTAL IDEAS § 1. The fundamental equations for free aether. In Maxwell's electromagnetic theory the state of the aether in the vicinity of a point (x, y, z) at time t is specified by means of two vectors E and H which satisfy the circuital relations * Cc***' idE .„ dH ... TOiH=s-c-dt> rotE = '~c^t and the solenoidal or sourceless conditions divE=0, div#=0. If right-handed rectangular axes are used the symbolf rot H denotes the vector whose components are of type dHt dffy dy dz ' the three components of H being Hx, Hy, H2 respectively. The symbol div H denotes the divergence of H, i.e. the quantity dx dy dz The vector E is called the electric displacement or electric force and H the magnetic force. The quantity c represents the * The equations are written In the symmetrical form in which they were presented by 0. Heavisjde, Electrical Papers, Vol. 1, § 30, and H. Hertz, Electric Waves, p. 138. Sir Joseph Larmor points

Table of Contents

CONTENTS; chap page; I Fundamental ideas1; ADDITIONS AND CORRECTIONS; p 28 Formula (30) iB due to Lame Cf A E H Love, The Mathematical; Theory of Elasticity, 2nd edition, p 55 p 101 An asymptotic expression for Tnn (s) when n is a large positive integer; can be derived from a formula given by L Fejer in 1909 This; formula is accessible in a paper by O Perron, Arkiv der Mat u; Phys (1914); p 118 The factor c in front of the double integrals should be omitted; p 120 Delete the minus sign in the second of equations (277); p 127 Line 8 This statement is incorrect, the equations are poristic, the; special case is the only one which can occur, p 132 Line 20 On account of the porism just mentioned, the hope may be; abandoned; p 150 Ex 13 For equations (10) of § 5 read equations (2) of § 2 p 154 Ex 24 The equation should read; 3 r i , dv , en a r , bv-; _ C03 (? _ e) __ + , sm (o _ e) _J + _ y[t - r) g-j; + _^sm(a-e)^ + (t-r)g--(r(t-r)cos(a-e)wJ = 0,; CONTENTS;

Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 1440089132
• ISBN 13: 9781440089138
• Reliure: Broché
• Nombre de pages: 176
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible