foundations of classical electrodynamics
TRANSCRIPT
-
7/21/2019 Foundations of Classical Electrodynamics
1/413
-
7/21/2019 Foundations of Classical Electrodynamics
2/413
-
7/21/2019 Foundations of Classical Electrodynamics
3/413
-
7/21/2019 Foundations of Classical Electrodynamics
4/413
-
7/21/2019 Foundations of Classical Electrodynamics
5/413
-
7/21/2019 Foundations of Classical Electrodynamics
6/413
-
7/21/2019 Foundations of Classical Electrodynamics
7/413
-
7/21/2019 Foundations of Classical Electrodynamics
8/413
-
7/21/2019 Foundations of Classical Electrodynamics
9/413
-
7/21/2019 Foundations of Classical Electrodynamics
10/413
-
7/21/2019 Foundations of Classical Electrodynamics
11/413
-
7/21/2019 Foundations of Classical Electrodynamics
12/413
-
7/21/2019 Foundations of Classical Electrodynamics
13/413
-
7/21/2019 Foundations of Classical Electrodynamics
14/413
-
7/21/2019 Foundations of Classical Electrodynamics
15/413
-
7/21/2019 Foundations of Classical Electrodynamics
16/413
-
7/21/2019 Foundations of Classical Electrodynamics
17/413
-
7/21/2019 Foundations of Classical Electrodynamics
18/413
-
7/21/2019 Foundations of Classical Electrodynamics
19/413
-
7/21/2019 Foundations of Classical Electrodynamics
20/413
-
7/21/2019 Foundations of Classical Electrodynamics
21/413
-
7/21/2019 Foundations of Classical Electrodynamics
22/413
-
7/21/2019 Foundations of Classical Electrodynamics
23/413
-
7/21/2019 Foundations of Classical Electrodynamics
24/413
-
7/21/2019 Foundations of Classical Electrodynamics
25/413
-
7/21/2019 Foundations of Classical Electrodynamics
26/413
-
7/21/2019 Foundations of Classical Electrodynamics
27/413
-
7/21/2019 Foundations of Classical Electrodynamics
28/413
-
7/21/2019 Foundations of Classical Electrodynamics
29/413
u
u
v
u+v
v3.2
0.5
-
7/21/2019 Foundations of Classical Electrodynamics
30/413
1
2-
3
-
7/21/2019 Foundations of Classical Electrodynamics
31/413
u
u
v
v
v
u
w
w
-
7/21/2019 Foundations of Classical Electrodynamics
32/413
-
7/21/2019 Foundations of Classical Electrodynamics
33/413
-
7/21/2019 Foundations of Classical Electrodynamics
34/413
-
7/21/2019 Foundations of Classical Electrodynamics
35/413
-
7/21/2019 Foundations of Classical Electrodynamics
36/413
-
7/21/2019 Foundations of Classical Electrodynamics
37/413
-
7/21/2019 Foundations of Classical Electrodynamics
38/413
-
7/21/2019 Foundations of Classical Electrodynamics
39/413
-
7/21/2019 Foundations of Classical Electrodynamics
40/413
-
7/21/2019 Foundations of Classical Electrodynamics
41/413
e
e
hh
eh
1
1
1
2
2
1(a)
(b)
-
7/21/2019 Foundations of Classical Electrodynamics
42/413
-
7/21/2019 Foundations of Classical Electrodynamics
43/413
-
7/21/2019 Foundations of Classical Electrodynamics
44/413
-
7/21/2019 Foundations of Classical Electrodynamics
45/413
-
7/21/2019 Foundations of Classical Electrodynamics
46/413
-
7/21/2019 Foundations of Classical Electrodynamics
47/413
-
7/21/2019 Foundations of Classical Electrodynamics
48/413
-
7/21/2019 Foundations of Classical Electrodynamics
49/413
-
7/21/2019 Foundations of Classical Electrodynamics
50/413
-
7/21/2019 Foundations of Classical Electrodynamics
51/413
-
7/21/2019 Foundations of Classical Electrodynamics
52/413
-
7/21/2019 Foundations of Classical Electrodynamics
53/413
-
7/21/2019 Foundations of Classical Electrodynamics
54/413
-
7/21/2019 Foundations of Classical Electrodynamics
55/413
-
7/21/2019 Foundations of Classical Electrodynamics
56/413
-
7/21/2019 Foundations of Classical Electrodynamics
57/413
-
7/21/2019 Foundations of Classical Electrodynamics
58/413
-
7/21/2019 Foundations of Classical Electrodynamics
59/413
-
7/21/2019 Foundations of Classical Electrodynamics
60/413
-
7/21/2019 Foundations of Classical Electrodynamics
61/413
-
7/21/2019 Foundations of Classical Electrodynamics
62/413
-
7/21/2019 Foundations of Classical Electrodynamics
63/413
0 1
0 1
+ = 01
1(1/2)
(1/2)
(1/2)
(1/2)
/
/
/
-
7/21/2019 Foundations of Classical Electrodynamics
64/413
0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0
1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1
A B
CD
-
7/21/2019 Foundations of Classical Electrodynamics
65/413
A B = A
C = AD = A
=
-
7/21/2019 Foundations of Classical Electrodynamics
66/413
A B
C = AD = B
=
A B = A
C = AD = A
=
-
7/21/2019 Foundations of Classical Electrodynamics
67/413
-
7/21/2019 Foundations of Classical Electrodynamics
68/413
-
7/21/2019 Foundations of Classical Electrodynamics
69/413
.P
(a) ar bit r ar y vector (b) arbi tr ary 1-form
at a poi n t P at a poi n t P
v
v
.P
x
x
1
2
e2
=2
P
. e1
=1
3x
= dx1 1
.
.
e3
=3 = dx
3 3
.
= dx2 2
-
7/21/2019 Foundations of Classical Electrodynamics
70/413
.
v
P. .
P
v
( ) = v1
( ) = v
v
u
u,
2( ) = 1 ( ) = 2 5
P
v
P
.
-
7/21/2019 Foundations of Classical Electrodynamics
71/413
-
7/21/2019 Foundations of Classical Electrodynamics
72/413
U2
U1
U1 U2U
U1 U2U
A
B B
A
-
7/21/2019 Foundations of Classical Electrodynamics
73/413
-
7/21/2019 Foundations of Classical Electrodynamics
74/413
-
7/21/2019 Foundations of Classical Electrodynamics
75/413
-
7/21/2019 Foundations of Classical Electrodynamics
76/413
-
7/21/2019 Foundations of Classical Electrodynamics
77/413
-
7/21/2019 Foundations of Classical Electrodynamics
78/413
-
7/21/2019 Foundations of Classical Electrodynamics
79/413
(a) (b)
p
u =x
t
y t
x
yp
(p) t
u = x y-
x x+t
. .
.
.(p)
t
y x
-
7/21/2019 Foundations of Classical Electrodynamics
80/413
p
( v)(p)t*
v(p)
u(p)
v( (p))t
t(p)..
-
7/21/2019 Foundations of Classical Electrodynamics
81/413
-
7/21/2019 Foundations of Classical Electrodynamics
82/413
-
7/21/2019 Foundations of Classical Electrodynamics
83/413
-
7/21/2019 Foundations of Classical Electrodynamics
84/413
-
7/21/2019 Foundations of Classical Electrodynamics
85/413
-
7/21/2019 Foundations of Classical Electrodynamics
86/413
-
7/21/2019 Foundations of Classical Electrodynamics
87/413
-
7/21/2019 Foundations of Classical Electrodynamics
88/413
-
7/21/2019 Foundations of Classical Electrodynamics
89/413
-
7/21/2019 Foundations of Classical Electrodynamics
90/413
-
7/21/2019 Foundations of Classical Electrodynamics
91/413
-
7/21/2019 Foundations of Classical Electrodynamics
92/413
-
7/21/2019 Foundations of Classical Electrodynamics
93/413
-
7/21/2019 Foundations of Classical Electrodynamics
94/413
-
7/21/2019 Foundations of Classical Electrodynamics
95/413
2-simplex 3-simplex
. .
.
. .
.
.
.
.
.P P P
P P
P
P
P
0-simplex 1-simplex
P P
0 0
0
0
1
1
1
2
2
3
-
7/21/2019 Foundations of Classical Electrodynamics
96/413
+ _ =P P P P P P
P P P
0 0 01 1 1
222
. . .
.
.
.
. .
.
c
(2)
(0) (1)
1
-
7/21/2019 Foundations of Classical Electrodynamics
97/413
-
7/21/2019 Foundations of Classical Electrodynamics
98/413
-
7/21/2019 Foundations of Classical Electrodynamics
99/413
-
7/21/2019 Foundations of Classical Electrodynamics
100/413
0 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0
1 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 11 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1
P
PP0 1
2
(2)
(1)
(0)
1
1
1
2
t
t
1
2
-
7/21/2019 Foundations of Classical Electrodynamics
101/413
-
7/21/2019 Foundations of Classical Electrodynamics
102/413
A BA
D = A
A B = AB = A
C = AD = AC = AC = A D = B
s
s
s
s s
s2
2
2 2
2
(2) (2)
(1) (1)
2
(1)
(2)
(c)(a) (b)
-
7/21/2019 Foundations of Classical Electrodynamics
103/413
-
7/21/2019 Foundations of Classical Electrodynamics
104/413
-
7/21/2019 Foundations of Classical Electrodynamics
105/413
-
7/21/2019 Foundations of Classical Electrodynamics
106/413
-
7/21/2019 Foundations of Classical Electrodynamics
107/413
-
7/21/2019 Foundations of Classical Electrodynamics
108/413
-
7/21/2019 Foundations of Classical Electrodynamics
109/413
-
7/21/2019 Foundations of Classical Electrodynamics
110/413
-
7/21/2019 Foundations of Classical Electrodynamics
111/413
-
7/21/2019 Foundations of Classical Electrodynamics
112/413
-
7/21/2019 Foundations of Classical Electrodynamics
113/413
-
7/21/2019 Foundations of Classical Electrodynamics
114/413
-
7/21/2019 Foundations of Classical Electrodynamics
115/413
-
7/21/2019 Foundations of Classical Electrodynamics
116/413
.
x
x
x
1
2
3 j
surface
3
3
-
7/21/2019 Foundations of Classical Electrodynamics
117/413
-
7/21/2019 Foundations of Classical Electrodynamics
118/413
-
7/21/2019 Foundations of Classical Electrodynamics
119/413
3 3
t
t
t
t1
2
.
.
.
-
7/21/2019 Foundations of Classical Electrodynamics
120/413
x
x
x
1
2
3
x
x
x
1
2
3h
xh
.
n
-
7/21/2019 Foundations of Classical Electrodynamics
121/413
-
7/21/2019 Foundations of Classical Electrodynamics
122/413
-
7/21/2019 Foundations of Classical Electrodynamics
123/413
-
7/21/2019 Foundations of Classical Electrodynamics
124/413
-
7/21/2019 Foundations of Classical Electrodynamics
125/413
-
7/21/2019 Foundations of Classical Electrodynamics
126/413
-
7/21/2019 Foundations of Classical Electrodynamics
127/413
-
7/21/2019 Foundations of Classical Electrodynamics
128/413
-
7/21/2019 Foundations of Classical Electrodynamics
129/413
-
7/21/2019 Foundations of Classical Electrodynamics
130/413
-
7/21/2019 Foundations of Classical Electrodynamics
131/413
-
7/21/2019 Foundations of Classical Electrodynamics
132/413
-
7/21/2019 Foundations of Classical Electrodynamics
133/413
-
7/21/2019 Foundations of Classical Electrodynamics
134/413
-
7/21/2019 Foundations of Classical Electrodynamics
135/413
.
. h
h
0
33
3
3
2.
.
-
7/21/2019 Foundations of Classical Electrodynamics
136/413
-
7/21/2019 Foundations of Classical Electrodynamics
137/413
0
(fluxon)
B
2
2-surface
-
7/21/2019 Foundations of Classical Electrodynamics
138/413
-
7/21/2019 Foundations of Classical Electrodynamics
139/413
-
7/21/2019 Foundations of Classical Electrodynamics
140/413
-
7/21/2019 Foundations of Classical Electrodynamics
141/413
-
7/21/2019 Foundations of Classical Electrodynamics
142/413
+external char ges+
++
+
+
+ + + +
+
.+++++
+++++
----
------
hand les
insulat ing
P
D=0
+
-
7/21/2019 Foundations of Classical Electrodynamics
143/413
-
7/21/2019 Foundations of Classical Electrodynamics
144/413
3
x
3
1
22
1
x
x
S
2
1
P
h
-h
1
V2
V
-
7/21/2019 Foundations of Classical Electrodynamics
145/413
-
7/21/2019 Foundations of Classical Electrodynamics
146/413
P..P
L
H
j~
H
ind
H
indH
A
(a) (b)
-
7/21/2019 Foundations of Classical Electrodynamics
147/413
-
7/21/2019 Foundations of Classical Electrodynamics
148/413
-
7/21/2019 Foundations of Classical Electrodynamics
149/413
-
7/21/2019 Foundations of Classical Electrodynamics
150/413
HD
E B
-
7/21/2019 Foundations of Classical Electrodynamics
151/413
-
7/21/2019 Foundations of Classical Electrodynamics
152/413
-
7/21/2019 Foundations of Classical Electrodynamics
153/413
-
7/21/2019 Foundations of Classical Electrodynamics
154/413
-
7/21/2019 Foundations of Classical Electrodynamics
155/413
-
7/21/2019 Foundations of Classical Electrodynamics
156/413
-
7/21/2019 Foundations of Classical Electrodynamics
157/413
-
7/21/2019 Foundations of Classical Electrodynamics
158/413
-
7/21/2019 Foundations of Classical Electrodynamics
159/413
-
7/21/2019 Foundations of Classical Electrodynamics
160/413
-
7/21/2019 Foundations of Classical Electrodynamics
161/413
yl
jx
Bxy
x
zl
lx
y
z
IP
Q
HU
-
7/21/2019 Foundations of Classical Electrodynamics
162/413
Al AlSiO SiO SiO
Al
2 2 2
n n
p Si
+ +
z
y
x
II
UH
2DEG
draingate
source
-
7/21/2019 Foundations of Classical Electrodynamics
163/413
Bxy
H
U
x
jyjx
Uy
j
x
Q
P
I
y
xU
-
7/21/2019 Foundations of Classical Electrodynamics
164/413
-
7/21/2019 Foundations of Classical Electrodynamics
165/413
B
R
R
R
2 4 60
0
0
2
4
6
8
10
H
L
k
T
0.2
0.8
0.6
0.4
-
7/21/2019 Foundations of Classical Electrodynamics
166/413
j
E B
el. current (twisted)
field strength (untw.)
electric
magnetic
2+1 decomposition
1+2 decomposition
2-forms1-
form
s
Lorentzforcecoupl.
Lorentzforcecoupl.
spacetimerelation s
pacetim
erela
tion
-
7/21/2019 Foundations of Classical Electrodynamics
167/413
-
7/21/2019 Foundations of Classical Electrodynamics
168/413
-
7/21/2019 Foundations of Classical Electrodynamics
169/413
-
7/21/2019 Foundations of Classical Electrodynamics
170/413
-
7/21/2019 Foundations of Classical Electrodynamics
171/413
-
7/21/2019 Foundations of Classical Electrodynamics
172/413
-
7/21/2019 Foundations of Classical Electrodynamics
173/413
-
7/21/2019 Foundations of Classical Electrodynamics
174/413
D Hexcitation (twisted)
field strength (untw.)
electric
magnetic
3+1 decomposition
1+3 decomposition
2-forms1-
form
s
spacetimerelation
spacetimerelation
el./mag.reciprocity e
l./m
ag.r
ecipro
city
+ +
E B
-
7/21/2019 Foundations of Classical Electrodynamics
175/413
-
7/21/2019 Foundations of Classical Electrodynamics
176/413
-
7/21/2019 Foundations of Classical Electrodynamics
177/413
-
7/21/2019 Foundations of Classical Electrodynamics
178/413
-
7/21/2019 Foundations of Classical Electrodynamics
179/413
-
7/21/2019 Foundations of Classical Electrodynamics
180/413
-
7/21/2019 Foundations of Classical Electrodynamics
181/413
-
7/21/2019 Foundations of Classical Electrodynamics
182/413
-
7/21/2019 Foundations of Classical Electrodynamics
183/413
-
7/21/2019 Foundations of Classical Electrodynamics
184/413
-
7/21/2019 Foundations of Classical Electrodynamics
185/413
-
7/21/2019 Foundations of Classical Electrodynamics
186/413
-
7/21/2019 Foundations of Classical Electrodynamics
187/413
-
7/21/2019 Foundations of Classical Electrodynamics
188/413
-
7/21/2019 Foundations of Classical Electrodynamics
189/413
-
7/21/2019 Foundations of Classical Electrodynamics
190/413
-
7/21/2019 Foundations of Classical Electrodynamics
191/413
-
7/21/2019 Foundations of Classical Electrodynamics
192/413
-
7/21/2019 Foundations of Classical Electrodynamics
193/413
-
7/21/2019 Foundations of Classical Electrodynamics
194/413
-
7/21/2019 Foundations of Classical Electrodynamics
195/413
-
7/21/2019 Foundations of Classical Electrodynamics
196/413
-
7/21/2019 Foundations of Classical Electrodynamics
197/413
-
7/21/2019 Foundations of Classical Electrodynamics
198/413
-
7/21/2019 Foundations of Classical Electrodynamics
199/413
-
7/21/2019 Foundations of Classical Electrodynamics
200/413
-
7/21/2019 Foundations of Classical Electrodynamics
201/413
-
7/21/2019 Foundations of Classical Electrodynamics
202/413
-
7/21/2019 Foundations of Classical Electrodynamics
203/413
-
7/21/2019 Foundations of Classical Electrodynamics
204/413
-
7/21/2019 Foundations of Classical Electrodynamics
205/413
-
7/21/2019 Foundations of Classical Electrodynamics
206/413
-
7/21/2019 Foundations of Classical Electrodynamics
207/413
-
7/21/2019 Foundations of Classical Electrodynamics
208/413
-
7/21/2019 Foundations of Classical Electrodynamics
209/413
uR
uR||R
Q
Pu
v vP
P
QvQ||
T(u,v)
u,v[ ]
u
vu
v
-
7/21/2019 Foundations of Classical Electrodynamics
210/413
-
7/21/2019 Foundations of Classical Electrodynamics
211/413
u
u(1)
(0)
.P
-
7/21/2019 Foundations of Classical Electrodynamics
212/413
-
7/21/2019 Foundations of Classical Electrodynamics
213/413
x 2
x 1
pr
p
r +rp
r +p
-
7/21/2019 Foundations of Classical Electrodynamics
214/413
-
7/21/2019 Foundations of Classical Electrodynamics
215/413
-
7/21/2019 Foundations of Classical Electrodynamics
216/413
-
7/21/2019 Foundations of Classical Electrodynamics
217/413
-
7/21/2019 Foundations of Classical Electrodynamics
218/413
-
7/21/2019 Foundations of Classical Electrodynamics
219/413
-
7/21/2019 Foundations of Classical Electrodynamics
220/413
-
7/21/2019 Foundations of Classical Electrodynamics
221/413
-
7/21/2019 Foundations of Classical Electrodynamics
222/413
-
7/21/2019 Foundations of Classical Electrodynamics
223/413
D
A
B
C
-
7/21/2019 Foundations of Classical Electrodynamics
224/413
-
7/21/2019 Foundations of Classical Electrodynamics
225/413
-
7/21/2019 Foundations of Classical Electrodynamics
226/413
-
7/21/2019 Foundations of Classical Electrodynamics
227/413
-
7/21/2019 Foundations of Classical Electrodynamics
228/413
-
7/21/2019 Foundations of Classical Electrodynamics
229/413
-
7/21/2019 Foundations of Classical Electrodynamics
230/413
-
7/21/2019 Foundations of Classical Electrodynamics
231/413
-
7/21/2019 Foundations of Classical Electrodynamics
232/413
-
7/21/2019 Foundations of Classical Electrodynamics
233/413
-
7/21/2019 Foundations of Classical Electrodynamics
234/413
-
7/21/2019 Foundations of Classical Electrodynamics
235/413
-
7/21/2019 Foundations of Classical Electrodynamics
236/413
-
7/21/2019 Foundations of Classical Electrodynamics
237/413
-
7/21/2019 Foundations of Classical Electrodynamics
238/413
-
7/21/2019 Foundations of Classical Electrodynamics
239/413
-
7/21/2019 Foundations of Classical Electrodynamics
240/413
-
7/21/2019 Foundations of Classical Electrodynamics
241/413
-
7/21/2019 Foundations of Classical Electrodynamics
242/413
-
7/21/2019 Foundations of Classical Electrodynamics
243/413
-
7/21/2019 Foundations of Classical Electrodynamics
244/413
-
7/21/2019 Foundations of Classical Electrodynamics
245/413
-
7/21/2019 Foundations of Classical Electrodynamics
246/413
D
D
A
A
B
BC
C
-
7/21/2019 Foundations of Classical Electrodynamics
247/413
-
7/21/2019 Foundations of Classical Electrodynamics
248/413
-
7/21/2019 Foundations of Classical Electrodynamics
249/413
-
7/21/2019 Foundations of Classical Electrodynamics
250/413
-
7/21/2019 Foundations of Classical Electrodynamics
251/413
-
7/21/2019 Foundations of Classical Electrodynamics
252/413
-
7/21/2019 Foundations of Classical Electrodynamics
253/413
-
7/21/2019 Foundations of Classical Electrodynamics
254/413
-
7/21/2019 Foundations of Classical Electrodynamics
255/413
-
7/21/2019 Foundations of Classical Electrodynamics
256/413
-
7/21/2019 Foundations of Classical Electrodynamics
257/413
-
7/21/2019 Foundations of Classical Electrodynamics
258/413
-
7/21/2019 Foundations of Classical Electrodynamics
259/413
-
7/21/2019 Foundations of Classical Electrodynamics
260/413
-
7/21/2019 Foundations of Classical Electrodynamics
261/413
-
7/21/2019 Foundations of Classical Electrodynamics
262/413
-
7/21/2019 Foundations of Classical Electrodynamics
263/413
-
7/21/2019 Foundations of Classical Electrodynamics
264/413
-
7/21/2019 Foundations of Classical Electrodynamics
265/413
-
7/21/2019 Foundations of Classical Electrodynamics
266/413
-
7/21/2019 Foundations of Classical Electrodynamics
267/413
-
7/21/2019 Foundations of Classical Electrodynamics
268/413
-
7/21/2019 Foundations of Classical Electrodynamics
269/413
-
7/21/2019 Foundations of Classical Electrodynamics
270/413
-
7/21/2019 Foundations of Classical Electrodynamics
271/413
-
7/21/2019 Foundations of Classical Electrodynamics
272/413
-
7/21/2019 Foundations of Classical Electrodynamics
273/413
-
7/21/2019 Foundations of Classical Electrodynamics
274/413
-
7/21/2019 Foundations of Classical Electrodynamics
275/413
-
7/21/2019 Foundations of Classical Electrodynamics
276/413
-
7/21/2019 Foundations of Classical Electrodynamics
277/413
-
7/21/2019 Foundations of Classical Electrodynamics
278/413
-
7/21/2019 Foundations of Classical Electrodynamics
279/413
-
7/21/2019 Foundations of Classical Electrodynamics
280/413
-
7/21/2019 Foundations of Classical Electrodynamics
281/413
-
7/21/2019 Foundations of Classical Electrodynamics
282/413
-
7/21/2019 Foundations of Classical Electrodynamics
283/413
-
7/21/2019 Foundations of Classical Electrodynamics
284/413
-
7/21/2019 Foundations of Classical Electrodynamics
285/413
-
7/21/2019 Foundations of Classical Electrodynamics
286/413
-
7/21/2019 Foundations of Classical Electrodynamics
287/413
-
7/21/2019 Foundations of Classical Electrodynamics
288/413
-
7/21/2019 Foundations of Classical Electrodynamics
289/413
-
7/21/2019 Foundations of Classical Electrodynamics
290/413
-
7/21/2019 Foundations of Classical Electrodynamics
291/413
-
7/21/2019 Foundations of Classical Electrodynamics
292/413
=0K=0
(2)
=0(2)
no reciproc.
reciproc.
unknown condition
unknown condition
rank(b)=3
rank(b)=2
rank(b)=1
K=0
light cone
birefrigence
4th-order Fresnel equation
degenerated light cone
no apparent reduction
general 4th-order Fresnel eq.
4th-order Fresnel equation
no reciproc.
reciproc.
birefringence
-
7/21/2019 Foundations of Classical Electrodynamics
293/413
-
7/21/2019 Foundations of Classical Electrodynamics
294/413
-
7/21/2019 Foundations of Classical Electrodynamics
295/413
-
7/21/2019 Foundations of Classical Electrodynamics
296/413
-
7/21/2019 Foundations of Classical Electrodynamics
297/413
-
7/21/2019 Foundations of Classical Electrodynamics
298/413
-
7/21/2019 Foundations of Classical Electrodynamics
299/413
-
7/21/2019 Foundations of Classical Electrodynamics
300/413
-
7/21/2019 Foundations of Classical Electrodynamics
301/413
-
7/21/2019 Foundations of Classical Electrodynamics
302/413
-
7/21/2019 Foundations of Classical Electrodynamics
303/413
-
7/21/2019 Foundations of Classical Electrodynamics
304/413
-
7/21/2019 Foundations of Classical Electrodynamics
305/413
-
7/21/2019 Foundations of Classical Electrodynamics
306/413
-
7/21/2019 Foundations of Classical Electrodynamics
307/413
-
7/21/2019 Foundations of Classical Electrodynamics
308/413
-
7/21/2019 Foundations of Classical Electrodynamics
309/413
-
7/21/2019 Foundations of Classical Electrodynamics
310/413
-
7/21/2019 Foundations of Classical Electrodynamics
311/413
-
7/21/2019 Foundations of Classical Electrodynamics
312/413
-
7/21/2019 Foundations of Classical Electrodynamics
313/413
-
7/21/2019 Foundations of Classical Electrodynamics
314/413
-
7/21/2019 Foundations of Classical Electrodynamics
315/413
-
7/21/2019 Foundations of Classical Electrodynamics
316/413
-
7/21/2019 Foundations of Classical Electrodynamics
317/413
-
7/21/2019 Foundations of Classical Electrodynamics
318/413
-
7/21/2019 Foundations of Classical Electrodynamics
319/413
-
7/21/2019 Foundations of Classical Electrodynamics
320/413
-
7/21/2019 Foundations of Classical Electrodynamics
321/413
-
7/21/2019 Foundations of Classical Electrodynamics
322/413
-
7/21/2019 Foundations of Classical Electrodynamics
323/413
-
7/21/2019 Foundations of Classical Electrodynamics
324/413
-
7/21/2019 Foundations of Classical Electrodynamics
325/413
x
n
h
-
7/21/2019 Foundations of Classical Electrodynamics
326/413
-
7/21/2019 Foundations of Classical Electrodynamics
327/413
-
7/21/2019 Foundations of Classical Electrodynamics
328/413
-
7/21/2019 Foundations of Classical Electrodynamics
329/413
-
7/21/2019 Foundations of Classical Electrodynamics
330/413
-
7/21/2019 Foundations of Classical Electrodynamics
331/413
-
7/21/2019 Foundations of Classical Electrodynamics
332/413
-
7/21/2019 Foundations of Classical Electrodynamics
333/413
1 2 3 4 x
0.2
0.40.6
0.8
1
1.2
1.4
y
-
7/21/2019 Foundations of Classical Electrodynamics
334/413
-
7/21/2019 Foundations of Classical Electrodynamics
335/413
-
7/21/2019 Foundations of Classical Electrodynamics
336/413
-
7/21/2019 Foundations of Classical Electrodynamics
337/413
-
7/21/2019 Foundations of Classical Electrodynamics
338/413
-
7/21/2019 Foundations of Classical Electrodynamics
339/413
-
7/21/2019 Foundations of Classical Electrodynamics
340/413
-
7/21/2019 Foundations of Classical Electrodynamics
341/413
-
7/21/2019 Foundations of Classical Electrodynamics
342/413
-
7/21/2019 Foundations of Classical Electrodynamics
343/413
-
7/21/2019 Foundations of Classical Electrodynamics
344/413
-
7/21/2019 Foundations of Classical Electrodynamics
345/413
-
7/21/2019 Foundations of Classical Electrodynamics
346/413
-
7/21/2019 Foundations of Classical Electrodynamics
347/413
0 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 00 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
1 1 1 1 11 1 1 1 11 1 1 1 11 1 1 1 11 1 1 1 11 1 1 1 11 1 1 1 11 1 1 1 1
1 1 1 1 1
1 1 1 1 1
1 1 1 1 1
1 1 1 1 1
1 1 1 1 1
1 1 1 1 1
1 1 1 1 1
B
E
1
2
ztorque
l
-
7/21/2019 Foundations of Classical Electrodynamics
348/413
-
7/21/2019 Foundations of Classical Electrodynamics
349/413
-
7/21/2019 Foundations of Classical Electrodynamics
350/413
0 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0
1 1 1 11 1 1 11 1 1 11 1 1 11 1 1 11 1 1 11 1 1 11 1 1 11 1 1 1
1 1 1 1
1 1 1 1
1 1 1 1
1 1 1 1
EB
I
force.z=0
-
7/21/2019 Foundations of Classical Electrodynamics
351/413
-
7/21/2019 Foundations of Classical Electrodynamics
352/413
-
7/21/2019 Foundations of Classical Electrodynamics
353/413
-
7/21/2019 Foundations of Classical Electrodynamics
354/413
-
7/21/2019 Foundations of Classical Electrodynamics
355/413
-
7/21/2019 Foundations of Classical Electrodynamics
356/413
-
7/21/2019 Foundations of Classical Electrodynamics
357/413
-
7/21/2019 Foundations of Classical Electrodynamics
358/413
-
7/21/2019 Foundations of Classical Electrodynamics
359/413
-
7/21/2019 Foundations of Classical Electrodynamics
360/413
-
7/21/2019 Foundations of Classical Electrodynamics
361/413
-
7/21/2019 Foundations of Classical Electrodynamics
362/413
Jext
(1)=0
, = 1
(1)
matter
S
J(2)
=0
= =1
(2)
vacuum
-
7/21/2019 Foundations of Classical Electrodynamics
363/413
-
7/21/2019 Foundations of Classical Electrodynamics
364/413
-
7/21/2019 Foundations of Classical Electrodynamics
365/413
B(1)
v
E(2)
x
vx
x
x
(1)
(2)1
3
2
3
B
E(2)
(1)
-
7/21/2019 Foundations of Classical Electrodynamics
366/413
x
x
x
(1)
(2)
x
v
(2)B
E(1)
v2
3
1
1
B(2)
(1)E
-
7/21/2019 Foundations of Classical Electrodynamics
367/413
-
7/21/2019 Foundations of Classical Electrodynamics
368/413
-
7/21/2019 Foundations of Classical Electrodynamics
369/413
-
7/21/2019 Foundations of Classical Electrodynamics
370/413
-
7/21/2019 Foundations of Classical Electrodynamics
371/413
-
7/21/2019 Foundations of Classical Electrodynamics
372/413
-
7/21/2019 Foundations of Classical Electrodynamics
373/413
-
7/21/2019 Foundations of Classical Electrodynamics
374/413
-
7/21/2019 Foundations of Classical Electrodynamics
375/413
-
7/21/2019 Foundations of Classical Electrodynamics
376/413
-
7/21/2019 Foundations of Classical Electrodynamics
377/413
-
7/21/2019 Foundations of Classical Electrodynamics
378/413
-
7/21/2019 Foundations of Classical Electrodynamics
379/413
-
7/21/2019 Foundations of Classical Electrodynamics
380/413
-
7/21/2019 Foundations of Classical Electrodynamics
381/413
-
7/21/2019 Foundations of Classical Electrodynamics
382/413
-
7/21/2019 Foundations of Classical Electrodynamics
383/413
-
7/21/2019 Foundations of Classical Electrodynamics
384/413
-
7/21/2019 Foundations of Classical Electrodynamics
385/413
-
7/21/2019 Foundations of Classical Electrodynamics
386/413
-
7/21/2019 Foundations of Classical Electrodynamics
387/413
-
7/21/2019 Foundations of Classical Electrodynamics
388/413
-
7/21/2019 Foundations of Classical Electrodynamics
389/413
-
7/21/2019 Foundations of Classical Electrodynamics
390/413
-
7/21/2019 Foundations of Classical Electrodynamics
391/413
-
7/21/2019 Foundations of Classical Electrodynamics
392/413
-
7/21/2019 Foundations of Classical Electrodynamics
393/413
-
7/21/2019 Foundations of Classical Electrodynamics
394/413
-
7/21/2019 Foundations of Classical Electrodynamics
395/413
-
7/21/2019 Foundations of Classical Electrodynamics
396/413
-
7/21/2019 Foundations of Classical Electrodynamics
397/413
-
7/21/2019 Foundations of Classical Electrodynamics
398/413
-
7/21/2019 Foundations of Classical Electrodynamics
399/413
-
7/21/2019 Foundations of Classical Electrodynamics
400/413
-
7/21/2019 Foundations of Classical Electrodynamics
401/413
-
7/21/2019 Foundations of Classical Electrodynamics
402/413
-
7/21/2019 Foundations of Classical Electrodynamics
403/413
-
7/21/2019 Foundations of Classical Electrodynamics
404/413
-
7/21/2019 Foundations of Classical Electrodynamics
405/413
-
7/21/2019 Foundations of Classical Electrodynamics
406/413
-
7/21/2019 Foundations of Classical Electrodynamics
407/413
-
7/21/2019 Foundations of Classical Electrodynamics
408/413
-
7/21/2019 Foundations of Classical Electrodynamics
409/413
-
7/21/2019 Foundations of Classical Electrodynamics
410/413
-
7/21/2019 Foundations of Classical Electrodynamics
411/413
-
7/21/2019 Foundations of Classical Electrodynamics
412/413
-
7/21/2019 Foundations of Classical Electrodynamics
413/413