derive the wave equations for Ã'(x, w) and ¹(x, w)
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![Basic equations in some matter are written by
rot E(x, t) + (x, t) = 0,
ƏB
Ət
div B(x, t) = 0,
1
where
ίω
=
"H(W) [rot B(x, w) - iw E(x, w)].
v² (w)
L dweiwt
L dwewt (w)div E(x, w) = 0,
D(x, t) = (x, w)etwt dw, E(x, t) = (x, w)etwt dw,
-∞
Ď(x, w) = e(w)Ẽ(x, w). (B(x,w) = μ(w)(x,w) as well)
-∞
Using the potentials and the Lorenz gauge condition,
E(x, t)
=
JA'
Ət
-(x, t) - grad o'(x, t),
B(x, t) =
= rot A'(x, t),
iw
-o'(x, w) = 0,
div Ã'(x, w) +
v² (w)
derive the wave equations for Ã'(x, w) and ¹(x, w).
(1)
(2)
0,
(3)
(4)
(5)
(6)
(7)
(8)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa53ab43e-b709-441c-84be-f40bff3fdead%2Fa8ffebfb-332f-4dfa-840e-7f820c545e99%2Fkeh75kb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Basic equations in some matter are written by
rot E(x, t) + (x, t) = 0,
ƏB
Ət
div B(x, t) = 0,
1
where
ίω
=
"H(W) [rot B(x, w) - iw E(x, w)].
v² (w)
L dweiwt
L dwewt (w)div E(x, w) = 0,
D(x, t) = (x, w)etwt dw, E(x, t) = (x, w)etwt dw,
-∞
Ď(x, w) = e(w)Ẽ(x, w). (B(x,w) = μ(w)(x,w) as well)
-∞
Using the potentials and the Lorenz gauge condition,
E(x, t)
=
JA'
Ət
-(x, t) - grad o'(x, t),
B(x, t) =
= rot A'(x, t),
iw
-o'(x, w) = 0,
div Ã'(x, w) +
v² (w)
derive the wave equations for Ã'(x, w) and ¹(x, w).
(1)
(2)
0,
(3)
(4)
(5)
(6)
(7)
(8)
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