32
3 Study of Electrophysical Characteristics of Blood …
Fig. 3.2 Scattering by a
spherical particle with a
nonconcentric inclusion
H i ( j) =
k
ωμ
∞
n=1
n
m=−n
E nm [q
j
nm N
1
nm + p
j
nm M
1
nm ].
(3.9)
Consider the expression for the field that is scattered by the jth particle. At relatively large distances from the particle, the scattered field must be a divergent spherical wave. Therefore, we employ functions h
(1)
n :
h
(1)
n ∼ (−i)
n exp[ikr]/[ikr], kr n
2
Then, we have
E s ( j) =
∞
n=1
n
m=−n
E nm [a
j
nm N
3
nm + b
j
nm M
3
nm ],
H s ( j) =
k
ωμ
∞
n=1
n
m=−n
E nm [b
j
nm N
3
nm + a
j
nm M
3
nm ].
The field in the vicinity of the center of the sphere of the jth particle is represented
as
E I 1 ( j) =
∞
n=1
n
m=−n
i E nm [d
j
nm 1
N
1
nm + c
j
nm 1
M
1
nm ],
(3.10)
H I 1 ( j) =
k
j
1
ωμ
j
1
∞
n=1
n
m=−n
E nm [c
j
nm 1
N
1
nm + d
j
nm 1
M
1
nm ].
(3.11)
For the jth particle, the field in interval b ≤ r ≤ a (in the O 1 x 1 y 1 z 1 coordinate system)
is written as