電磁波 Maxwellの方程式

D = ε E
B= µ H
−12
ε = ε 0
= 8.85×
10 (F/m)
µ µ π
−7
=
0
= 4 × 10 (H/m)
ε = εε
r
r
0
µ = µµ ≅ µ
0 0
J
= σΕ
2004/10/29 GPR 7
2004/10/29 GPR 8
Maxwell
∂B
rotE =− ∂ t
∂D
rotH
= J + ∂ t
divD = ρ
D = ε E
B= µ H
−12
ε = ε 0
= 8.85×
10 (F/m)
µ µ π
−7
=
0
= 4 × 10 (H/m)
ε = εε
r
r
0
µ = µµ ≅ µ
0 0
div B = 0
J
= σΕ
2004/10/29 GPR 9
2004/10/29 GPR 10
Maxwell
rot =−µ ∂ H
E
0
∂t
= ε ∂ E
H
rot
0
div E = 0
div H = 0
∂t
E,H
rot
=−µ ∂ H
∂t
rot(
rotE) =−µ ∂ rotH
∂t
E
0
0
E
rot
rot ( rotE) = grad divE− E =−E
2
µ ∂ 0
rot µ ∂ 0
( ε ∂ E
0
) µ
0ε
∂ E
− H= − =−
0 2
∂t ∂t ∂t ∂t
µε ∂ E
− =
∂t
2
0 0
0
2
2004/10/29 GPR 11
2004/10/29 GPR 12