Conformal Transformations in Electrical Engineering

Cover......Page 1
Title Page......Page 2
Copyright......Page 3
Preface......Page 6
Contents......Page 8
1 Introduction......Page 10
2 Field equations......Page 13
3 Properties of complex variables......Page 23
4 Conjugate functions......Page 33
5 Conformal transformations......Page 44
6 The schwarz-christoffel transformation......Page 65
7 Configurations with no right angles......Page 69
8 Configurations with one right angle......Page 96
9 Configurations with two right angles......Page 105
10 Configurations with more than two right angles......Page 133
11 Elliptic integrals of the first kind......Page 138
12 Elliptic functions......Page 148
13 Double transformations with one requiring elliptic functions......Page 157
14 Double. transformations both requiring elliptic functions......Page 168
15 Elliptic integrals of the second kind......Page 182
16 Auxiliary elliptic functions......Page 194
17 Elliptic integral of the third kind......Page 199
List of references......Page 226
Index......Page 227