Part b
代做 R | 统计代写 | math代写 – 本题是一个利用 R 进行练习的代做, 对 R 的流程进行训练解析, 是有一定代表意义的统计math等代写方向
Pocklington’s equation
subdivide the wire into equally spaced segments of length
expand the current with pulse functions
where
substitute (2) into equation (1)
where
multiply by weighting function and integrate over the length of the wire
which gives
let
so we have linear system equations
with plane wave excitation
I ( z ) + k G ( z , z ) dz =
L /
L /
[(
z^2
^22
) ] jEz ( z ) ( 1 )
N = L / N
I ( z )= I u ( z )
n = 1
N
n n (^2 )
un ( z )={
1
0
zn 2 z zn + 2
otherwise
I K ( z , z ) dz =
n = 1
N
n
zn /
zn +/
Ez ( z ) ( 3 )
K ( z , z )= + k G ( z , z )
j
(
z^2
^22
)
wm ( z )= ( z zm ), 1 m N
I w ( z ) K ( z , z ) dzdz =
n = 1
N
n
L /
L /
m
zn /
zn +/
w ( z ) E ( z ) dz
L /
L /
m z (^4 )
I K ( z , z ) dz =
n = 1
N
n
zn /
zn +/
m Ez^ ( zm^ ) (^5 )
Zmn = K ( z , z ) dz
zn /
zn +/
m
( 6 )
=
Z^11
Z 21
ZN 1
Z 1 N
Z 2 N
ZNN
I^1
I 2
IN
Ez^ ( z^1 )
Ez ( z 2 )
Ez ( zN )
( 7 )
Ez ( z )= E 0 sin ejkz cos ( 8 )
where is the angle of incidence.
with very thin wire
where
Zmn = K ( z , z ) dz
zn /
zn +/
m
= [( 1 + jkR )( 2 R 3 a )+( kaR )] dz
4
j
zn /
zn +/
R^5
e jkR 2 2 2
R = a^2 +( zm z )^2