Biomedical Engineering Reference
In-Depth Information
2
2
γ
+
+
γ τ ω
τ ω
s
∞
γ
γ ω
(
)
=
(4.44)
2
2
1
γ
2
2
+
+
ρ
ρ τ ω
τ ω
s
∞
ρ
(4.45)
(
)
=
ρ ω
2
2
1
ρ
ε γ
εγ
2
2
∞
s
+
τ ω
δ
γ
εωε
s
∞
tan
δ
∞
(4.46)
=
1
2
2
+
τ ω
0
∞
δ
with
−
−
d
+
+
d
ε
ε
ε
ε
s
∞
1 2
2 1
τ
=
τ
=
ε
=
ε
(4.47)
0
0
ε
γ
d
d
γ
γ
γ
γ
∞
s
1 2
2 1
1 2
γ
γ
∞
τ
=
⋅
τ
(4.48)
ρ
ε
s
1 2
ε
ε
∞
(4.49)
τ
=
⋅
τ
δ
ε
s
(
d
+
d
)
d
d
ε
γ
ε
γ
1
2
1 1
2 2
ε
s
=
⋅
+
(4.50)
2
2
2
d
d
1
2
1
2
+
γ
γ
1
2
d
+
d
ε
∞
=
1
2
d
d
(4.51)
1
1
+
2
2
ε
ε
d
+
d
1
2
γ
s
=
(4.52)
d
d
1
2
2
+
γ
γ
1
(
d
+
d
)
d
d
γ
ε
γ
ε
1
2
1 1
2 2
γ
∞
=
⋅
+
2
2
2
d
d
1
2
1
2
+
ε
ε
1
2
(4.53)
Equations 4.50 through 4.53 give the static and high-frequency values for the composite
dielectric, whereas the meaning of the three relaxation times is clearly shown.
