ECE 1100 Introduction to Electrical and Computer Engineering

1
ECE 6340 Intermediate EM Waves
Fall 2006
Prof. Donald R. Wilton ECE Dept.
Notes 2
(Notes adapted from those of Prof. David R.
Jackson )
2
Constitutive Relations
1) Free Space
Since 1983,
Also,
3
Constitutive Relations (cont.)
1
I
d
2
Fx
I
x
Definition for I 1 Amp
Hence
4
Constitutive Relations
Phasor Domain
5
Simple Linear Media
Atomic picture
Dipole moment of single molecule
d
-q
q
6
Simple Linear Media (cont.)
Applied electric field
- - - - - - -

Dipole moment per unit volume
7
Simple Linear Media (cont.)
Dipole moment per unit volume
Definition of D vector
linear media
so
or
8
Simple Linear Media (cont.)
Magnetic media
i
a
Magnetic moment per unit volume
Definition of H vector
so
9
Simple Linear Media (cont.)
Linear media
so
10
Simple Linear Media (cont.)
so
11
Summary
Phasor Domain
12
Generalized Linear (material losses)
Phasor Domain
Define
(complex)
Then
Similarly
13
Anisotropic Media
14
Anisotropic Media (cont.)
Isotropic
Uniaxial
15
Anisotropic Media (cont.)
Biaxial
Ferrite
is not symmetric
16
Summary