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6
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cc
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n
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p
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lt
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if
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e
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t
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c
tu
re
s
o
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c
ircu
lar DG
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a
n
d
c
ircu
lar D
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e
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it
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a
s g
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o
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ti
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it
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n
d
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ss
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e
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m
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e
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b
a
se
d
o
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d
e
f
e
c
ted
g
ro
u
n
d
str
u
c
tu
re
(DG
S
)
in
teg
ra
ti
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g
a
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ircu
lar
rin
g
re
so
n
a
to
r
to
su
p
p
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ss
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n
d
e
sire
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rio
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s
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a
n
d
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re
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e
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h
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o
n
ics
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ra
d
io
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e
n
c
y
a
n
d
m
i
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ro
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v
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ro
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A
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iv
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t
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ir
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s
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th
e
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o
t
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str
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c
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re
s
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ircu
lar
DG
S
a
n
d
c
irc
u
lar
DG
S
lo
a
d
e
d
.
T
h
e
p
re
se
n
ted
f
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ter
h
a
s
a
c
o
m
p
a
c
t
siz
e
b
e
c
a
u
se
th
e
c
ircu
lar
rin
g
re
so
n
a
to
r
is
i
n
teg
ra
ted
in
DG
S
,
th
e
b
o
t
h
o
f
t
h
e
m
a
re
e
tch
in
g
in
th
e
g
ro
u
n
d
p
lan
e
.
T
h
e
p
ro
p
o
se
d
f
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ter
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ts
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ti
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iza
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o
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f
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g
m
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lt
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-
b
a
n
d
c
h
a
ra
c
teristics
w
it
h
o
u
t
u
sin
g
a
p
e
rio
d
ic
c
e
ll
s
o
r
o
th
e
r
c
o
m
p
li
c
a
te
to
p
o
lo
g
y
.
T
h
e
si
m
u
late
d
re
su
lt
s
b
y
AD
S
A
g
il
e
n
t
a
re
p
re
se
n
ted
a
n
d
c
o
m
p
a
re
d
w
it
h
th
e
re
su
lt
s
sim
u
late
d
b
y
tw
o
o
th
e
rs
so
f
tw
a
re
:
CS
T
a
n
d
HFS
S
.
G
o
o
d
a
g
re
e
m
e
n
t
b
e
tw
e
e
n
th
e
th
re
e
sim
u
late
d
re
su
lt
s
is o
b
se
rv
e
d
.
K
ey
w
o
r
d
s
:
C
o
p
lan
ar
lin
e
Def
ec
ted
g
r
o
u
n
d
s
tr
u
ctu
r
e
(
DGS)
Mu
lti
-
s
to
p
s
to
p
b
an
d
Sto
p
b
an
d
f
ilter
Co
p
y
rig
h
t
©
2
0
1
9
In
stit
u
te
o
f
A
d
v
a
n
c
e
d
E
n
g
i
n
e
e
rin
g
a
n
d
S
c
ien
c
e
.
Al
l
rig
h
ts re
se
rv
e
d
.
C
o
r
r
e
s
p
o
nd
ing
A
uth
o
r
:
E
l
m
a
h
j
o
u
b
y
Sg
h
ir
,
Dep
ar
t
m
en
t o
f
P
h
y
s
ics,
Un
i
v
er
s
it
y
o
f
Ha
s
s
a
n
1
st
Mo
r
o
cc
o
.
E
m
ail: e
l
m
a
h
j
o
u
b
y
.
s
g
h
ir
@
g
m
ail.
co
m
1.
I
NT
RO
D
UCT
I
O
N
C
o
p
lan
ar
tr
an
s
m
is
s
io
n
li
n
e
o
f
f
er
s
an
attr
ac
ti
v
e
s
o
l
u
tio
n
to
co
m
p
ac
t
an
d
ea
s
e
lo
w
co
s
t
d
esig
n
o
f
m
icr
o
w
av
e
cir
c
u
its
f
o
r
m
o
d
er
n
w
ir
eles
s
ap
p
licatio
n
s
s
y
s
te
m
s
d
u
e
to
th
eir
m
an
y
ad
v
a
n
ta
g
e
s
as li
g
h
t
w
eig
h
t a
n
d
lo
w
v
o
lu
m
e.
Als
o
,
t
h
e
p
la
n
a
r
g
eo
m
etr
y
o
f
g
r
o
u
n
d
w
h
ic
h
ca
n
b
e
etc
h
ed
to
cr
ea
te
d
i
f
f
er
en
t
e
f
f
ec
t
o
n
t
h
e
f
r
eq
u
en
c
y
r
e
s
p
o
n
s
e.
E
B
G
‘
E
l
ec
tr
o
m
a
g
n
etic
B
a
n
d
Gap
’
an
d
DGS
‘
De
f
ec
ted
g
r
o
u
n
d
s
tr
u
ctu
r
e
s
’
ar
e
t
w
o
o
f
th
ese
tec
h
n
ical
s
tr
u
ctu
r
e
s
.
DGS
is
a
n
etc
h
i
n
g
in
th
e
g
r
o
u
n
d
p
lan
e
o
f
th
e
p
la
n
ar
cir
cu
i
ts
,
w
h
ic
h
p
er
m
it
s
to
ch
a
n
g
e
t
h
e
r
esp
o
n
s
e
o
f
th
e
m
icr
o
w
av
e
c
ir
cu
it
a
n
d
o
b
tain
ed
s
o
m
e
n
e
w
tr
a
n
s
m
is
s
io
n
c
h
ar
ac
ter
is
tic
s
o
f
t
h
e
co
m
p
o
n
e
n
t
[1
-
6
]
.
Ho
w
e
v
er
,
DGS
s
tr
u
c
tu
r
e
h
a
v
e
b
ee
n
e
m
p
lo
y
ed
i
n
a
lo
t
o
f
f
m
icr
o
w
a
v
e
cir
cu
it
s
li
k
e
f
ilter
s
[
2
]
,
p
o
w
er
d
iv
id
er
s
/co
m
b
i
n
er
s
[
3
]
,
an
d
m
icr
o
s
tr
ip
an
ten
n
a
[
4
]
,
f
o
r
im
p
r
o
v
in
g
th
e
p
er
f
o
r
m
a
n
ce
o
f
m
ic
r
o
w
av
e
cir
cu
i
ts
an
d
to
h
av
e
a
s
m
all
s
e
ize
o
f
s
tr
u
ct
u
r
es.
Def
ec
ted
g
r
o
u
n
d
s
tr
u
c
tu
r
es
(
DGS)
h
a
s
b
ee
n
o
b
tain
ed
f
r
o
m
t
h
e
p
h
o
to
n
ic
b
a
n
d
g
ap
s
tr
u
ctu
r
e
id
ea
(
P
B
Gs)
[
5
]
.
T
h
is
later
w
a
s
u
tili
ze
d
f
ir
s
t
l
y
at
o
p
tical
f
ield
,
af
ter
it
h
as
b
ee
n
d
er
iv
ed
i
n
t
o
p
lan
ar
cir
c
u
its
i
n
elec
tr
o
m
ag
n
etic
m
icr
o
w
a
v
e
f
r
eq
u
en
c
y
w
it
h
t
h
e
n
a
m
e
o
f
ele
ctr
o
m
a
g
n
etic
b
a
n
d
g
ap
(
E
B
G)
[
6
]
.
A
lth
o
u
g
h
E
B
G
s
tr
u
ct
u
r
es
h
a
v
e
d
i
f
f
ic
u
lt
y
i
n
it
s
m
o
d
elin
g
a
n
d
it
is
o
n
e
o
f
t
h
eir
b
asic
d
is
ad
v
an
ta
g
es.
So
D
GS
s
tr
u
c
tu
r
e
g
iv
e
s
a
r
esp
o
n
s
e
o
f
t
h
is
p
r
o
b
le
m
an
d
s
i
m
p
li
f
ied
th
e
m
o
d
elin
g
o
f
th
e
R
L
C
-
eq
u
iv
ale
n
t
cir
c
u
it
s
.
T
h
er
e
ar
e
m
an
y
ef
f
ec
tiv
e
ap
p
r
o
ac
h
es
a
v
ailab
le
to
i
m
p
le
m
e
n
t
f
il
ter
s
w
i
th
d
u
a
l
s
to
p
b
an
d
s
r
esp
o
n
s
e,
o
n
e
o
f
t
h
e
m
is
t
h
e
P
er
io
d
ic
s
tr
u
ct
u
r
es
b
y
ca
s
ca
d
i
n
g
t
h
e
u
n
it
D
GS
s
tr
u
ct
u
r
es
in
th
e
m
et
al
la
y
er
.
Ne
v
er
th
e
less
,
th
is
f
il
ter
h
as
a
r
elati
v
el
y
lar
g
e
s
ize
(
b
ec
au
s
e
n
u
m
b
er
s
o
f
u
n
its
ad
d
ed
)
.
Her
e
in
th
i
s
p
ap
er
,
a
s
o
lu
tio
n
to
th
at
is
to
u
s
e
t
h
e
lo
ad
ed
DGS
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
E
lec
&
C
o
m
p
E
n
g
I
SS
N:
2
0
8
8
-
8708
A
n
o
ve
l c
o
mp
a
ct
C
P
W
b
a
n
d
-
s
to
p
filt
er u
s
in
g
O
-
DGS
co
n
fig
u
r
a
tio
n
(
E
lma
h
jo
u
b
y
S
g
h
ir
)
4837
s
tr
u
ct
u
r
e
to
i
m
p
r
o
v
e
t
h
e
r
esp
o
n
s
e
p
er
f
o
r
m
a
n
ce
o
f
f
ilter
,
with
o
u
t
ad
d
i
n
g
p
er
io
d
ic
s
tr
u
ct
u
r
es,
an
d
th
er
ef
o
r
e
r
etain
s
a
co
m
p
ac
t s
ize.
I
n
th
is
ar
ticle,
u
s
in
g
n
e
w
DGS
lo
ad
ed
s
tr
u
ctu
r
es
ar
e
b
ein
g
ex
p
lo
ited
to
r
ea
ch
m
ax
i
m
u
m
m
i
n
iat
u
r
izatio
n
an
d
m
i
n
i
m
u
m
lo
s
s
e
s
,
an
d
g
i
v
e
a
g
o
o
d
s
o
l
u
tio
n
to
i
m
p
r
o
v
e
s
to
p
b
an
d
an
d
p
ass
b
a
n
d
f
ilter
s
.
T
h
e
ex
tr
ac
ted
p
ar
am
eter
s
o
f
t
h
e
b
o
th
p
r
o
p
o
s
ed
s
tr
u
ctu
r
es
ca
n
b
e
i
n
ter
p
r
eted
b
ased
o
n
th
e
cir
c
u
it
an
al
y
s
is
t
h
eo
r
y
.
2.
RE
S
E
ARCH
M
E
T
H
O
D
CO
P
ARIS
O
N
O
F
VARIO
U
S
DG
S
AP
P
L
I
Q
UE
D
I
N
M
I
CRO
WAVE
F
I
L
T
E
R
S
No
w
ad
a
y
s
DGS
i
s
w
id
el
y
u
s
ed
in
m
icr
o
w
av
e
tec
h
n
o
lo
g
ie
s
,
w
h
e
n
f
il
ter
s
is
o
n
e
o
f
th
e
s
e
d
ev
ices,
esp
ec
iall
y
w
it
h
co
p
lan
ar
w
av
e
g
u
id
e
tech
n
o
lo
g
y
,
b
ec
au
s
e
t
h
e
p
lan
ar
g
eo
m
etr
y
o
f
t
h
e
g
r
o
u
n
d
o
f
f
er
s
a
s
u
f
f
icie
n
t
ar
ea
to
etch
ed
an
y
g
eo
m
etr
ical
d
ef
ec
ts
.
Fi
g
u
r
e
1
s
h
o
w
n
t
h
e
v
ar
io
u
s
DGS
g
eo
m
etr
ical
p
atter
n
.
Fig
u
r
e
1
.
Var
io
u
s
DGS
g
eo
m
e
tr
ical
p
atter
n
: (
a)
tr
ian
g
u
lar
s
h
ap
ed
(
b
)
s
q
u
ar
e
s
h
a
p
ed
(
c)
cir
cu
lar
s
h
ap
ed
Def
er
en
t
DGS
s
h
ap
es
o
f
g
e
o
m
e
tr
ies
o
n
t
h
e
g
r
o
u
n
d
p
la
n
e
o
f
cp
w
li
n
e
h
a
v
e
b
ee
n
r
e
p
o
r
ted
in
th
e
li
ter
atu
r
e
a
s
tr
ia
n
g
u
lar
s
h
ap
ed
[
7
-
9
]
,
s
q
u
ar
e
s
h
ap
ed
[
1
0
,
1
1
]
an
d
in
th
is
p
ap
er
a
cir
cu
lar
s
h
ap
ed
i
s
d
is
cu
s
s
ed
w
it
h
t
h
e
tech
n
iq
u
e
o
f
lo
ad
ed
DGS.
T
h
er
e
ar
e
t
w
o
m
aj
o
r
ap
p
r
o
ac
h
es
av
ailab
le
f
o
r
u
tili
zin
g
th
e
p
er
f
o
r
m
a
n
ce
o
f
DGS,
o
n
e
is
DGS
u
n
it,
w
h
ic
h
p
er
m
it
s
to
ch
an
g
e
t
h
e
r
esp
o
n
s
e
o
f
th
e
m
icr
o
w
av
e
cir
cu
it
an
d
o
b
tain
ed
s
o
m
e
n
e
w
tr
an
s
m
i
s
s
io
n
ch
ar
ac
ter
is
t
ics
o
f
t
h
e
co
m
p
o
n
en
t
d
ep
en
d
o
f
th
e
DGS
g
eo
m
etr
ical
p
atter
n
[1
-
6
]
.
T
h
e
o
th
er
s
p
er
io
d
ic
DGS,
as
[
9
]
,
w
h
ich
a
t
h
r
e
e
ce
lls
p
er
io
d
ical
tr
ian
g
le
D
G
Ss
w
as
d
es
ig
n
ed
in
an
atte
m
p
t
to
i
m
p
r
o
v
e
t
h
e
p
er
f
o
r
m
an
ce
o
f
L
P
F
a
n
d
i
m
p
r
o
v
ed
s
to
p
b
an
d
an
d
s
u
p
p
r
ess
io
n
p
er
f
o
r
m
an
ce
.
Ho
w
e
v
er
,
in
th
i
s
w
o
r
k
a
n
o
v
el
asp
ec
t
to
i
m
p
r
o
v
e
a
n
d
i
m
p
le
m
e
n
tatio
n
o
f
a
m
u
lti
-
b
an
d
f
ilter
,
w
ith
u
ti
lizi
n
g
th
e
lo
ad
ed
DGS
s
tr
u
ct
u
r
e.
3.
B
ASI
C
D
G
S UN
I
T
O
F
T
H
E
CO
M
P
ACT F
I
L
T
E
R
T
h
e
b
u
ild
in
g
s
tr
u
ct
u
r
e
o
f
t
h
e
p
r
o
p
o
s
ed
s
to
p
b
an
d
f
ilter
is
a
c
ir
cu
lar
DGS
r
eso
n
ato
r
etch
e
d
in
th
e
g
r
o
u
n
d
p
lan
e
o
f
co
p
lan
ar
w
a
v
e
g
u
id
e
cp
w
l
in
e
t
h
at
is
d
ir
ec
tl
y
co
n
n
ec
ted
to
th
e
lin
e
g
a
p
w
it
h
th
e
t
w
o
o
th
er
s
lo
ts
.
A
s
ch
e
m
at
ic
o
f
th
e
p
r
o
p
o
s
ed
s
to
p
b
an
d
f
ilter
w
it
h
DGS
cir
c
u
lar
s
tr
u
ct
u
r
e
is
s
h
o
w
n
i
n
Fi
g
u
r
e
2.
I
t
co
n
s
is
ts
o
f
a
5
0
Ω
co
n
v
en
t
io
n
al
co
p
lan
ar
tr
an
s
m
is
s
io
n
li
n
e
,
w
it
h
a
s
ig
n
al
lin
e
w
id
t
h
o
f
W
=1
.
5
m
m
an
d
th
e
g
ap
w
id
th
,
G=
0
.
2
0
4
m
m
.
T
h
e
p
r
o
p
o
s
ed
DGS
s
to
p
b
an
d
f
ilte
r
is
d
esig
n
ed
o
n
a
FR
4
s
u
b
s
tr
ate
w
i
th
a
r
elati
v
e
d
ielec
tr
ic
co
n
s
tan
t 4
.
4
an
d
a
th
ick
n
e
s
s
o
f
1
.
6
m
m
.
Fig
u
r
e
2
s
h
o
w
s
,
t
h
e
DG
S
s
tr
u
ctu
r
e
h
er
e
is
a
cir
c
u
lar
s
lo
t
et
ch
ed
i
n
t
h
e
g
r
o
u
n
d
p
lan
e
w
it
h
r
1
=2
m
m
.
T
h
is
cir
cu
lar
DGS
i
s
co
n
n
ec
t
ed
to
th
e
lin
e
g
ap
b
y
a
r
ec
ta
n
g
le
tr
an
s
v
er
s
e
s
lo
t
w
it
h
le
n
g
t
h
o
f
ls
(
l
s
=2
.
5
m
m
)
an
d
w
id
th
o
f
w
s
(
w
s
=0
.
2
0
4
m
m
)
.
T
h
e
p
r
o
p
o
s
ed
cir
cu
it
is
o
p
ti
m
ized
b
y
u
s
i
n
g
Mo
m
e
n
t
u
m
b
ased
o
n
m
o
m
e
n
ts
m
et
h
o
d
.
T
h
e
co
m
p
lete
a
n
al
y
s
i
s
o
f
t
h
e
f
ilter
d
o
n
e
w
ith
E
M
s
i
m
u
latio
n
to
o
l.
Fig
u
r
e
3
d
is
p
la
y
s
t
h
e
i
n
s
er
tio
n
lo
s
s
(
S2
1
)
an
d
r
etu
r
n
lo
s
s
(
S1
1
)
o
f
DGS
cir
cu
lar
s
tr
u
ct
u
r
e.
A
DG
S
is
co
n
s
tr
u
cted
b
y
etch
i
n
g
a
d
ef
ec
ted
cir
cu
lar
o
n
th
e
g
r
o
u
n
d
p
lan
e
an
d
h
av
e
b
ee
n
e
m
p
lo
y
ed
f
o
r
ch
an
g
i
n
g
th
e
ef
f
ec
t
iv
e
ca
p
ac
itan
ce
a
n
d
in
d
u
ctan
ce
o
f
a
co
p
lan
ar
lin
e
f
o
r
m
ed
o
n
t
h
e
cir
cu
it,
as
a
r
es
u
lt
s
h
o
w
n
i
n
Fig
u
r
e
3
,
a
DGS
i
m
p
r
o
v
in
g
t
h
e
p
er
f
o
r
m
a
n
ce
o
f
s
to
p
b
an
d
f
ilter
,
s
o
it p
la
y
s
t
h
e
r
o
le
o
f
r
eso
n
ato
r
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
9
,
No
.
6
,
Dec
em
b
er
2
0
1
9
:
4
8
3
6
-
4
8
4
4
4838
Fig
u
r
e
2
.
C
P
W
lin
e
w
it
h
C
ir
cu
lar
DGS
s
tr
u
ct
u
r
e
Fig
u
r
e
3
.
Si
m
u
lated
S
-
p
ar
a
m
et
er
s
v
er
s
u
s
f
r
eq
u
en
c
y
f
o
r
th
e
C
P
W
DGS
C
ir
cu
lar
s
tr
u
ct
u
r
e
o
f
B
an
d
Sto
p
As
n
o
ted
f
r
o
m
t
h
e
S
-
p
ar
a
m
et
er
s
tu
d
ies,
w
e
h
a
v
e
a
s
to
p
b
an
d
b
eh
av
io
r
o
f
th
e
cir
cu
it
w
i
th
a
g
o
o
d
b
an
d
s
to
p
ar
o
u
n
d
5
GHz
.
An
d
in
s
er
tio
n
lo
s
s
(
S2
1
)
is
b
etter
th
an
−1
0
d
B
an
d
a
lo
w
r
etu
r
n
lo
s
s
(
S1
1
)
in
th
e
s
to
p
b
an
d
.
A
ls
o
h
i
g
h
o
u
t
-
b
an
d
p
ass
in
g
f
r
o
m
7
GHz
to
1
5
GHz
an
d
r
e
tu
r
n
lo
s
s
(
S1
1
)
b
elo
w
−1
0
d
B
in
th
e
p
ass
b
a
n
d
w
it
h
o
u
t
a
n
y
o
th
er
s
h
ar
m
o
n
i
cs
r
e
s
p
o
n
s
e.
Her
e
,
th
e
r
eso
n
a
n
t
f
r
eq
u
e
n
c
y
d
ep
e
n
d
en
t
s
b
y
cir
c
u
lar
etch
ed
p
ar
a
m
eter
s
an
d
s
ize
o
f
th
e
s
lo
t.
T
h
e
r
esu
lts
o
f
E
M
s
i
m
u
latio
n
a
n
d
eq
u
i
v
alen
t
cir
cu
i
t
ar
e
all
s
h
o
w
n
in
Fi
g
u
r
e
4
.
An
in
d
u
c
tiv
e
ca
p
ac
itiv
e
a
n
d
r
esis
ta
n
ce
(
R
L
C
)
eq
u
i
v
alen
t
cir
cu
it
ca
n
b
e
u
s
ed
to
m
o
d
el
t
h
e
u
s
ed
D
GS.
A
s
th
e
Fi
g
u
r
e
4
s
h
o
w
s
,
t
h
er
e
is
a
g
o
o
d
ag
r
ee
m
en
t
b
et
w
ee
n
th
e
E
M
a
n
d
cir
cu
it
s
i
m
u
lated
S
-
p
ar
a
m
e
ter
s
.
T
h
is
g
o
o
d
ag
r
ee
m
e
n
t
d
em
o
n
s
tr
ate
s
t
h
e
v
alid
it
y
o
f
e
q
u
iv
ale
n
t
cir
cu
it
m
o
d
el
f
o
r
t
h
e
p
r
o
p
o
s
ed
cir
cu
lar
DGS
f
ilter
.
I
ts
R
L
C
-
eq
u
i
v
ale
n
t
cir
cu
it
o
f
t
h
e
DG
S
ce
ll
i
s
p
r
o
p
o
s
ed
,
an
d
th
e
d
i
f
f
er
e
n
t
p
ar
a
m
eter
s
ca
n
b
e
e
x
tr
ac
ted
.
T
h
e
R
,
L
an
d
C
r
eso
n
an
t
cir
cu
it
is
s
h
o
w
n
i
n
F
ig
u
r
e
5
.
T
h
e
r
esis
ta
n
ce
R
is
ad
d
ed
to
th
e
L
C
cir
cu
it
to
m
o
d
el
th
e
r
ad
iatio
n
,
co
n
d
u
cto
r
an
d
d
ielec
tr
ic
lo
s
s
es [
1
2
]
.
T
h
e
d
if
f
er
en
t p
ar
a
m
eter
s
c
an
b
e
ex
tr
ac
ted
as f
o
llo
w
s
[
1
3
]
.
Fig
u
r
e
4.
E
M
an
d
cir
cu
it si
m
u
lated
S
-
p
ar
a
m
eter
s
o
f
C
P
W
DGS
cir
cu
lar
s
tr
u
ctu
r
e
o
f
b
a
n
d
s
to
p
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
E
lec
&
C
o
m
p
E
n
g
I
SS
N:
2
0
8
8
-
8708
A
n
o
ve
l c
o
mp
a
ct
C
P
W
b
a
n
d
-
s
to
p
filt
er u
s
in
g
O
-
DGS
co
n
fig
u
r
a
tio
n
(
E
lma
h
jo
u
b
y
S
g
h
ir
)
4839
Fig
u
r
e
5
.
R
L
C
-
e
q
u
i
v
ale
n
t c
ir
cu
it
f
o
r
th
e
C
P
W
DGS
f
i
lter
C
=
w
c
2Z
0
(
w
0
2
−
w
C
2
)
(
1
)
L
=
1
4
(
π
f
0
)
2
C
(
2
)
R
=
2
Z
0
√
1
|
S
11
(
w
0
)
|
2
−
(
2Z
0
(
w
0
C
−
1
w
0
L
)
)
2
−
1
(
3
)
w
h
er
e,
Z
0
is
th
e
c
h
ar
ac
ter
is
t
ic
i
m
p
ed
an
ce
o
f
th
e
co
p
lan
ar
w
a
v
e
g
u
id
e
li
n
e,
w
0
is
t
h
e
an
g
u
lar
r
eso
n
a
n
ce
f
r
eq
u
en
c
y
,
w
c
i
s
th
e
-
3
d
B
cu
to
f
f
a
n
g
u
lar
f
r
eq
u
en
c
y
,
an
d
S1
1
(
w
)
i
s
th
e
i
n
p
u
t
r
ef
lec
tio
n
co
ef
f
icie
n
t
o
f
th
e
eq
u
i
v
ale
n
t c
ir
cu
it,
w
h
ic
h
c
an
b
e
o
b
ta
in
ed
f
r
o
m
E
M
s
i
m
u
l
atio
n
r
esu
l
ts
[
1
4
]
.
T
ab
le
1
.
P
ar
am
eter
s
o
f
p
r
o
p
o
s
ed
R
L
C
-
E
q
u
iv
a
len
t c
ir
c
u
it
f
o
r
C
P
W
DGS
f
ilter
P
a
r
a
me
t
e
r
V
a
l
u
e
f
0
1
5
G
H
z
R1
1
2
2
9
.
8
Ω
C1
0
.
8
1
3
7
p
F
L1
1
.
3
5
2
n
H
4.
T
H
E
P
RO
P
O
SE
D
DE
V
I
C
E
O
F
CIRCUL
AR
D
G
S L
O
A
DE
D
T
h
is
n
e
w
lo
ad
ed
cir
cu
lar
DG
S
is
p
r
o
p
o
s
ed
to
w
id
en
t
h
e
p
as
s
b
an
d
o
f
t
h
is
f
ilter
a
f
ter
t
h
e
r
e
j
ec
t
b
an
d
,
w
it
h
o
u
t
ch
a
n
g
in
g
t
h
e
ce
n
ter
f
r
eq
u
en
c
y
o
f
b
an
d
s
to
p
,
w
e
p
r
o
p
o
s
e
lo
ad
in
g
cir
cu
lar
DG
S
etch
ed
b
y
a
cir
cu
la
r
r
eso
n
ato
r
w
h
ic
h
is
co
m
p
o
s
ed
o
f
t
w
o
r
eso
n
ato
r
s
,
a
s
s
h
o
w
n
i
n
Fig
u
r
e
6
.
T
h
e
s
u
g
g
e
s
ted
f
il
ter
co
n
s
i
s
ts
o
f
t
w
o
r
eso
n
a
to
r
s
,
w
h
e
n
t
h
e
i
n
it
ial
DGS
s
tr
u
ct
u
r
e
s
to
p
b
an
d
f
il
ter
d
esig
n
is
m
o
d
i
f
ied
a
n
d
lo
ad
ed
b
y
i
n
t
r
o
d
u
cin
g
a
cir
c
u
lar
r
eso
n
ato
r
.
T
h
e
n
e
w
s
tr
u
ctu
r
e
w
it
h
O
-
co
n
f
ig
u
r
atio
n
u
s
ed
i
n
th
is
f
i
lter
i
n
clu
d
es
m
u
lt
ib
an
d
r
esp
o
n
s
e,
p
ass
b
an
d
co
m
p
o
n
en
t
co
n
s
i
s
ti
n
g
o
f
t
h
e
n
e
w
e
f
f
ec
ti
v
e
ca
p
ac
itan
ce
an
d
in
d
u
cta
n
ce
r
esp
o
n
s
e
o
f
co
p
lan
ar
lin
e.
T
h
e
p
ar
am
eter
s
o
f
th
e
f
ir
s
t
D
GS
s
to
p
b
an
d
f
ilter
ar
e
k
ep
t
u
n
ch
a
n
g
ed
w
h
ile
d
i
m
en
s
io
n
s
o
f
t
h
e
n
e
w
cir
cu
lar
r
eso
n
ato
r
ar
e
i
n
tr
o
d
u
c
ed
,
as
s
h
o
w
n
i
n
Fi
g
u
r
e
6
.
T
h
e
r
ad
iu
s
o
f
n
e
w
cir
cu
lar
r
eso
n
a
to
r
is
r
2
=1
.
9
5
m
m
.
Fig
u
r
e
7
s
h
o
w
s
t
h
e
s
i
m
u
lated
S
-
p
ar
a
m
eter
s
o
f
t
h
e
p
r
o
p
o
s
ed
d
ev
ice
o
f
DGS
lo
ad
ed
.
Fig
u
r
e
6
.
T
h
e
p
r
o
p
o
s
ed
d
ev
ice
o
f
DGS
L
o
ad
ed
f
o
r
s
to
p
b
an
d
f
ilter
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
9
,
No
.
6
,
Dec
em
b
er
2
0
1
9
:
4
8
3
6
-
4
8
4
4
4840
Fig
u
r
e
7
.
Si
m
u
lated
S
-
p
ar
a
m
et
er
o
f
th
e
p
r
o
p
o
s
ed
DGS
lo
ad
e
d
d
ev
ice
As
d
is
cu
s
s
ed
in
t
h
e
p
r
ev
io
u
s
s
ec
tio
n
,
th
e
cir
cu
it
ab
o
v
e
s
t
u
d
y
is
co
m
p
o
s
ed
o
f
t
w
o
r
eso
n
ato
r
s
,
th
e
f
ir
s
t
O
-
DG
S
an
d
th
e
i
n
tr
o
d
u
ce
d
cir
cu
lar
u
n
i
t
ce
ll
r
eso
n
ato
r
s
,
as
s
h
o
w
n
in
Fig
u
r
e
6
.
T
h
e
r
ea
s
o
n
f
o
r
th
is
i
m
p
r
o
v
e
m
en
t
lie
s
in
t
h
e
E
M
s
i
m
u
lat
io
n
r
esu
l
ts
o
f
th
e
lo
ad
ed
DGS
s
tr
u
ctu
r
e,
w
h
ich
is
p
r
esen
t
t
w
o
,
r
ej
ec
t
b
an
d
s
s
p
ea
r
in
g
w
it
h
a
lar
g
e
p
ass
b
an
d
,
as
s
h
o
w
n
in
Fig
u
r
e
7
.
A
cc
o
r
d
in
g
to
f
i
n
al
d
i
m
e
n
s
io
n
s
o
f
s
tr
u
ctu
r
e,
th
e
s
i
m
u
latio
n
r
es
u
lt
is
g
i
v
e
n
b
y
HFSS
a
n
d
C
ST
Mic
r
o
w
a
v
e
St
u
d
io
in
o
r
d
er
to
c
o
m
p
ar
e
t
h
e
r
esu
lt
s
.
T
h
e
Fig
u
r
e
8
s
h
o
w
s
th
e
co
m
p
ar
ed
s
-
p
ar
a
m
eter
s
o
f
t
h
e
t
h
r
ee
s
i
m
u
lat
io
n
s
.
Fig
u
r
e
8
.
C
o
m
p
ar
is
o
n
b
et
w
ee
n
d
if
f
er
en
t
m
et
h
o
d
s
o
f
s
i
m
u
lat
io
n
As
a
r
esu
lt,
th
e
n
e
w
cir
c
u
it
w
it
h
DGS
lo
ad
ed
in
clu
d
e
t
w
o
s
to
p
p
ed
b
an
d
s
in
ter
m
ed
iate
w
id
e
p
ass
b
an
d
.
T
h
e
f
ir
s
t
s
to
p
b
an
d
r
eso
n
an
ce
is
al
w
a
y
s
ar
o
u
n
d
5
GHz
,
as
in
f
ir
s
t
u
n
lo
ad
ed
D
GS
s
tr
u
ct
u
r
e,
it
i
s
ap
p
r
o
x
im
a
tel
y
ce
n
ter
ed
b
et
w
ee
n
3
.
5
GHz
a
n
d
6
.
5
GHz
,
an
d
it
e
x
h
ib
its
m
o
r
e
t
h
a
n
1
0
d
B
s
to
p
b
an
d
w
it
h
m
i
n
i
m
u
m
|
S2
1
|
o
f
−
2
0
d
B
ar
o
u
n
d
5
GHz
.
T
h
e
s
ec
o
n
d
r
ej
ec
t
b
an
d
i
s
ar
o
u
n
d
1
7
.
5
GHz
w
i
t
h
i
n
s
er
tio
n
lo
s
s
is
ar
o
u
n
d
2
0
d
B
.
A
ls
o
w
e
ca
n
n
o
tice
th
at
th
e
2
0
d
B
p
ass
-
b
an
d
is
f
r
o
m
6
.
5
GHz
to
1
6
.
1
GHz
,
w
it
h
i
n
s
er
tio
n
lo
s
s
is
less
t
h
a
n
2
d
B
an
d
,
th
e
r
etu
r
n
lo
s
s
i
s
g
r
ea
ter
th
a
n
2
0
d
B
.
5.
M
O
DE
L
I
N
G
O
F
T
H
E
CIR
CULAR
L
O
AD
E
D
D
G
S S
T
RUCTU
RE
I
n
t
h
e
p
r
ev
io
u
s
Sec
tio
n
,
t
h
e
cir
cu
lar
DGS
s
tr
u
ct
u
r
e
is
m
o
d
eled
b
y
e
m
p
lo
y
i
n
g
a
s
in
g
l
e
r
eso
n
an
t
p
ar
allel
R
L
C
cir
cu
it
m
o
d
el,
a
s
d
ep
icted
in
Fig
u
r
e
5
.
Hen
ce
,
I
n
co
n
f
ig
u
r
atio
n
t
w
o
,
th
e
E
M
s
i
m
u
latio
n
s
s
h
o
w
t
w
o
tr
an
s
m
i
s
s
io
n
ze
r
o
s
,
th
er
e
f
o
r
e
th
e
eq
u
iv
ale
n
t
cir
cu
it
o
f
t
h
e
lo
ad
ed
DGS
ce
ll
h
as
to
b
e
m
o
d
elled
u
s
i
n
g
t
w
o
ca
s
ca
d
ed
p
ar
allel
r
eso
n
an
ce
cir
c
u
its
m
a
y
b
e
r
ep
r
esen
ted
i
n
F
ig
u
r
e
9.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
E
lec
&
C
o
m
p
E
n
g
I
SS
N:
2
0
8
8
-
8708
A
n
o
ve
l c
o
mp
a
ct
C
P
W
b
a
n
d
-
s
to
p
filt
er u
s
in
g
O
-
DGS
co
n
fig
u
r
a
tio
n
(
E
lma
h
jo
u
b
y
S
g
h
ir
)
4841
Fig
u
r
e
9
.
R
L
C
-
eq
u
i
v
ale
n
t c
ir
cu
it
f
o
r
C
P
W
DGS
lo
ad
ed
f
ilter
T
h
e
eq
u
iv
alen
t i
m
p
ed
an
c
e
o
f
t
h
e
ca
s
ca
d
ed
p
ar
allel
r
eso
n
an
t
cir
cu
its
ca
n
b
e
ex
p
r
ess
ed
as:
=
1
1
R
1
+
1
jwL
1
+
1
jwC
1
+
1
1
R
2
+
1
jwL
2
+
1
jwC
2
(
4
)
w
h
er
e
th
e
s
u
b
s
cr
ip
ts
‘
1
’
a
n
d
‘
2
’
d
en
o
te
th
e
t
w
o
d
if
f
er
en
t
r
eso
n
an
t
cir
cu
it
s
.
T
h
e
r
ef
lectio
n
co
ef
f
icie
n
t,
S1
1
is
d
ef
in
ed
as:
11
=
0
2
0
+
=
(
1
1
−
2
1
1
+
2
1
−
2
2
2
)
2
0
+
(
1
1
−
2
1
1
+
2
1
−
2
2
2
)
(
5
)
T
h
e
ab
o
v
e
ex
p
r
ess
io
n
h
as
t
w
o
p
o
les
at
th
e
m
a
x
i
m
u
m
v
al
u
e
o
f
S1
1
b
y
d
if
f
er
en
t
iati
n
g
it
w
i
th
r
esp
ec
t
to
th
e
an
g
u
lar
f
r
eq
u
e
n
c
y
‘
w
’
:
01
=
1
√
1
1
02
=
1
√
2
2
(
6
)
T
h
e
tr
an
s
m
i
s
s
io
n
co
ef
f
icie
n
t i
s
g
i
v
en
b
y
:
21
=
2
0
2
0
+
=
2
0
2
0
+
(
1
1
−
2
1
1
+
2
1
−
2
2
2
)
(
7
)
T
h
e
f
u
ll tr
a
n
s
m
is
s
io
n
f
r
eq
u
e
n
c
y
is
g
iv
e
n
b
y
:
=
√
1
1
2
+
2
2
2
√
1
+
2
(
8
)
T
h
e
3
d
B
cu
t
-
o
f
f
an
g
u
lar
f
r
eq
u
en
c
y
,
w
c
,
ca
n
b
e
d
eter
m
i
n
ed
as
:
|
S
21
|
w
=
w
c
=
1
√
2
g
iv
es
|
1
+
jwL
1
1
−
w
2
L
1
C
1
+
jwL
2
1
−
w
2
L
2
C
2
2
Z
0
|
=
√
2
(
9
)
Fro
m
(
6
)
,
(
8
)
an
d
(
9
)
,
th
e
eq
u
iv
alen
t c
ir
cu
it p
ar
a
m
e
ter
s
ca
n
b
e
ex
tr
ac
ted
,
w
h
er
eb
y
C
1
=
w
c
2
Z
0
(
(
2
−
2
)
(
02
2
−
01
2
)
(
01
2
−
2
)
(
02
2
−
2
)
(
2
−
01
2
)
(
1
0
)
C
2
=
w
c
2
Z
0
(
(
2
−
2
)
(
02
2
−
01
2
)
(
01
2
−
2
)
(
02
2
−
2
)
(
02
2
−
2
)
(
1
1
)
T
h
e
in
d
u
ctan
ce
s
L
1
an
d
L
2
v
a
lu
es c
a
n
b
e
o
b
tain
ed
f
r
o
m
(
1
2
)
as:
1
=
1
01
2
1
,
2
=
1
02
2
2
(
1
2
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8
708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
9
,
No
.
6
,
Dec
em
b
er
2
0
1
9
:
4
8
3
6
-
4
8
4
4
4842
T
h
e
r
esis
tan
ce
s
R
1
an
d
R
2
o
f
th
e
cir
c
u
it
m
o
d
el
ar
e
d
eter
m
in
ed
ar
o
u
n
d
t
h
e
r
eso
n
a
n
t
f
r
eq
u
e
n
cies
ω
0
1
an
d
ω
0
2
,
r
esp
ec
tiv
el
y.
A
t
th
e
f
ir
s
t
r
eso
n
a
n
t
f
r
eq
u
e
n
c
y
ω
0
1
,
th
e
eq
u
i
v
ale
n
t
i
m
p
ed
an
c
e
is
Z
S1
≈
R
1
a
n
d
th
e
tr
an
s
m
is
s
io
n
lo
s
s
S2
1
is
g
i
v
en
b
y
:
|
S
21
|
w
=
w
01
=
|
2
Z
0
2
Z
0
+
Z
s1
|
=
2
Z
0
2
Z
0
+
R
1
g
iv
es:
R
1
=
2
Z
0
1
−
|
S
21
|
w
01
|
S
21
|
w
01
(
1
3
)
A
t
th
e
s
ec
o
n
d
r
e
s
o
n
a
n
t
f
r
eq
u
e
n
c
y
ω
02
,
t
h
e
eq
u
i
v
ale
n
t
i
m
p
ed
an
ce
i
s
Z
S2
≈
R
2
an
d
t
h
e
tr
a
n
s
m
i
s
s
io
n
lo
s
s
S2
1
is
g
i
v
e
n
b
y
:
|
S
21
|
w
=
w
02
=
|
2
Z
0
2
Z
0
+
Z
s2
|
=
2
Z
0
2
Z
0
+
R
2
g
iv
es
:
R
2
=
2
Z
0
1
−
|
S
21
|
w
02
|
S
21
|
w
02
(
1
4
)
I
n
o
r
d
er
t
o
s
h
o
w
t
h
e
v
alid
it
y
o
f
th
e
eq
u
i
v
ale
n
t
cir
cu
it
a
n
d
th
e
ex
tr
ac
ted
p
ar
a
m
eter
s
f
o
r
th
e
p
r
o
p
o
s
ed
u
n
i
t
DGS
lo
ad
ed
s
tr
u
ctu
r
e
as
in
th
e
p
r
ev
io
u
s
t
w
o
ex
a
m
p
les,
b
o
th
eq
u
iv
ale
n
t
cir
cu
it
a
n
d
E
M
s
i
m
u
latio
n
S
-
p
ar
a
m
eter
s
ar
e
s
h
o
w
n
in
Fig
u
r
e
10
,
us
in
g
co
m
p
lete
s
tr
u
ct
u
r
e
w
it
h
p
r
o
p
o
s
ed
m
o
d
if
ied
v
er
s
io
n
.
Fig
u
r
e
1
0
.
C
o
m
p
ar
is
o
n
o
n
p
ar
a
m
eter
ex
tr
ac
tio
n
o
f
eq
u
i
v
ale
n
t c
ir
cu
i
t
an
d
E
M
s
i
m
u
lat
io
n
r
es
u
lts
f
o
r
th
e
DGS
lo
ad
ed
s
tr
u
ct
u
r
e
As
r
esu
l
ts
s
h
o
w
n
,
t
h
e
p
r
o
p
o
s
ed
eq
u
iv
alen
t
cir
cu
it
r
es
u
lt
s
o
b
v
io
u
s
l
y
p
r
o
v
id
ed
g
o
o
d
ag
r
ee
m
en
t
w
it
h
th
e
E
M
s
i
m
u
latio
n
r
es
u
lt
s
.
Us
in
g
co
m
p
lete
eq
u
i
v
ale
n
t
cir
cu
it
an
d
p
r
o
p
o
s
ed
m
o
d
if
ied
v
er
s
io
n
.
T
h
e
v
alu
es
o
f
th
e
eq
u
i
v
ale
n
t c
ir
cu
it p
ar
a
m
et
er
s
f
o
r
th
e
ca
s
ca
d
ed
p
ar
allel
r
eso
n
an
ce
cir
c
u
it
s
m
a
y
b
e
r
ep
r
esen
ted
in
T
ab
le
2
.
T
ab
le
2
.
P
ar
a
m
eter
s
o
f
p
r
o
p
o
s
ed
R
L
C
-
e
q
u
iv
a
len
t c
ir
c
u
it o
f
DGS
L
O
A
DE
D
1
st
T
r
a
n
s
mi
ss
i
o
n
Z
e
r
o
2
n
d
T
r
a
n
smiss
i
o
n
Z
e
r
o
6.
DIS
T
RIB
U
T
I
O
N
O
F
SURF
ACE CUR
RE
N
T
A
T
P
ASS
B
AND
AND
ST
O
P
B
AND
F
RE
Q
UE
NCY
RANG
E
S
T
h
e
aim
o
f
th
is
i
n
v
e
s
ti
g
atio
n
is
to
d
e
m
o
n
s
tr
ate
th
e
r
elatio
n
s
h
ip
b
et
w
ee
n
t
h
e
E
M
-
s
i
m
u
lati
o
n
r
esu
lt
s
an
d
th
e
s
u
r
f
ac
e
cu
r
r
en
t
d
en
s
it
y
d
i
s
tr
ib
u
tio
n
o
f
th
e
p
r
o
p
o
s
ed
O
-
DGS
s
to
p
b
an
d
f
il
ter
,
b
asin
g
o
n
b
eh
a
v
io
r
s
o
f
s
u
r
f
ac
e
cu
r
r
en
t
d
en
s
it
y
e
n
er
g
ies.
Fi
g
u
r
e
1
1
s
h
o
w
s
t
h
e
cu
r
r
en
t
d
is
tr
ib
u
t
io
n
s
i
m
u
late
d
at
tw
o
d
if
f
er
en
t
f
r
eq
u
en
c
ies r
esp
ec
ti
v
el
y
in
t
h
e
p
ass
b
an
d
Fig
u
r
e
11
(
a)
an
d
s
to
p
b
an
d
Fig
u
r
e
1
1
(
b
)
.
Evaluation Warning : The document was created with Spire.PDF for Python.
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n
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u
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m
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r
f
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r
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t d
en
s
it
y
.
(
a)
at
f
=
1
0
GHz
,
(
b
)
at
f
=
5
.
5
GHz
As
F
i
g
u
r
e
1
1
(
a)
s
h
o
w
s
,
w
e
ca
n
o
b
s
er
v
e
th
at
t
h
e
c
u
r
r
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t
e
n
er
g
ie
s
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m
p
o
r
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t
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n
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th
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r
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n
th
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ass
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a
n
d
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at
th
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f
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e
n
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f
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GHz
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w
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ich
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ea
n
s
th
a
t
r
ad
io
f
r
eq
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en
c
y
m
ag
n
etic
e
n
er
g
y
w
a
s
tr
an
s
m
it
ted
f
r
o
m
th
e
i
n
p
u
t
to
th
e
o
u
tp
u
t
.
I
n
th
e
o
th
er
s
id
e,
F
ig
u
r
e
1
1
(
b
)
,
s
h
o
w
s
t
h
e
cu
r
r
en
t
e
n
er
g
ie
s
in
th
e
s
to
p
b
an
d
r
eg
io
n
at
th
e
f
r
eq
u
en
c
y
o
f
5
.
5
GHz
.
A
t
th
i
s
f
r
eq
u
en
c
y
,
t
h
er
e
is
a
h
ig
h
c
u
r
r
en
t
d
is
tr
ib
u
tio
n
i
n
th
e
f
ir
s
t
p
ar
t
o
f
s
tr
u
ct
u
r
e
ar
o
u
n
d
th
e
p
o
r
t
1
an
d
th
e
O
-
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u
n
i
t
an
d
n
o
cu
r
r
en
t
n
ea
r
to
th
e
o
u
tp
u
t
p
o
r
t
2
,
th
er
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o
r
e
n
o
a
tr
an
s
m
is
s
io
n
o
f
R
F
p
o
w
er
f
r
o
m
t
h
e
in
p
u
t
p
o
r
t
to
th
e
o
u
tp
u
t
p
o
r
t,
w
h
ic
h
i
n
d
icate
d
t
h
at
t
h
e
s
tr
u
ct
u
r
e
is
in
t
h
e
s
to
p
b
an
d
s
tate.
T
h
is
ex
p
er
i
m
en
t
p
r
o
v
es t
h
at
p
r
o
p
o
s
ed
cir
cu
lar
DGS
lo
ad
ed
f
ilte
r
h
as
s
i
m
ilar
b
eh
a
v
io
r
s
b
et
w
ee
n
th
e
E
M
-
s
i
m
u
lati
o
n
r
es
u
lts
an
d
th
e
en
er
g
ie
s
d
is
tr
ib
u
tio
n
,
b
o
th
h
a
v
e
g
o
o
d
p
er
f
o
r
m
a
n
ce
s
.
7.
CO
NCLU
SI
O
N
I
n
t
h
is
ar
ticle,
a
n
e
w
co
m
p
a
ct
co
p
lan
ar
s
to
p
b
an
d
f
il
ter
u
s
in
g
c
ir
c
u
lar
lo
ad
ed
w
it
h
O
-
DGS
ce
ll,
w
it
h
e
x
ce
lle
n
t
s
u
p
p
r
ess
ed
,
s
h
a
r
p
r
e
j
ec
tio
n
s
lo
p
e
an
d
w
id
e
p
ass
b
an
d
i
s
p
r
esen
ted
a
n
d
v
a
li
d
ated
in
s
i
m
u
latio
n
.
An
R
L
C
eq
u
iv
a
len
t
cir
c
u
it
p
r
o
p
o
s
ed
an
d
v
alid
ated
in
s
i
m
u
l
atio
n
,
all
h
av
e
g
o
o
d
p
er
f
o
r
m
a
n
ce
s
co
m
p
ar
ed
w
i
th
th
e
en
er
g
ies
d
is
tr
ib
u
tio
n
b
eh
av
io
r
s
.
T
h
e
d
ev
elo
p
ed
f
ilter
ca
n
b
e
a
g
o
o
d
ca
n
d
id
ate
f
o
r
r
ej
ec
ts
W
L
AN
f
r
eq
u
en
c
y
at
ar
o
u
n
d
5
GHz
.
T
h
e
cir
cu
lar
DGS
lo
ad
ed
in
tr
o
d
u
ce
d
in
th
e
C
P
W
lin
e
p
e
r
m
its
to
ac
h
iev
e
a
m
u
ltib
an
d
s
to
p
b
an
d
f
ilter
w
it
h
g
o
o
d
p
er
f
o
r
m
an
ce
s
.
T
h
e
o
r
ig
in
a
lit
y
o
f
t
h
is
w
o
r
k
is
th
at
t
h
e
f
i
n
al
cir
c
u
it
is
a
m
i
n
iat
u
r
e
u
s
i
n
g
an
o
p
ti
m
izati
o
n
m
e
th
o
d
f
o
r
g
e
n
er
atin
g
m
u
l
ti
-
b
an
d
c
h
ar
ac
ter
is
t
ics
w
i
th
o
u
t
u
s
in
g
co
m
p
licated
to
p
o
lo
g
y
.
ACK
NO
WL
E
D
G
E
M
E
NT
S
W
e
th
an
k
Mr
.
M
h
a
m
ed
L
atr
ac
h
f
r
o
m
E
SEO
An
g
er
s
i
n
Fra
n
c
e,
f
o
r
allo
w
in
g
u
s
to
u
s
e
an
d
t
o
p
er
f
o
r
m
s
i
m
u
lat
io
n
s
b
y
u
s
in
g
elec
tr
o
m
ag
n
et
ic
s
o
lv
er
s
an
d
m
ea
s
u
r
e
m
en
t in
s
tr
u
m
e
n
t
s
.
RE
F
E
R
E
NC
E
S
[1
]
H.
J.
Ch
e
n
,
e
t
a
l
.
,
“
A
n
o
v
e
l
c
r
o
ss
-
sh
a
p
e
DG
S
a
p
p
li
e
d
to
d
e
sig
n
u
lt
ra
-
w
id
e
sto
p
-
b
a
n
d
lo
w
-
pa
ss
f
il
ters
,
”
IEE
E
M
icr
o
wa
v
e
a
n
d
W
ire
les
s Co
mp
o
n
e
n
ts L
e
tt
e
rs
,
v
o
l.
1
6
,
p
p
.
2
5
2
-
2
5
4
,
2
0
0
6
.
[2
]
J.
S
.
L
i
m
,
e
t
a
l
.
,
“
A
sp
iral
-
sh
a
p
e
d
d
e
f
e
c
ted
g
ro
u
n
d
stru
c
t
u
re
fo
r
c
o
p
lan
a
r
w
a
v
e
g
u
id
e
,
”
IEE
E
M
icr
o
wa
v
e
a
n
d
W
ire
les
s Co
mp
o
n
e
n
ts L
e
tt
e
rs
,
v
o
l
.
1
2
,
p
p
.
3
3
0
-
3
3
2
,
2
0
0
2
.
[3
]
J.
J.
Ko
o
,
e
t
a
l
.
,
“
A
n
e
w
D
G
S
u
n
e
q
u
a
l
p
o
w
e
r
d
iv
id
e
r,
”
Eu
r
o
p
e
a
n
M
icr
o
wa
v
e
Co
n
fer
e
n
c
e
,
p
p
.
5
5
6
-
5
5
9
,
2
0
0
7
.
[4
]
J.
P
.
T
h
a
k
u
r
a
n
d
P
.
J
u
n
-
S
e
o
k
,
“
A
n
e
w
d
e
sig
n
a
p
p
ro
a
c
h
f
o
r
c
ircu
lar
p
o
lariz
e
a
n
ten
n
a
w
it
h
DG
S
u
n
d
e
r
th
e
u
n
b
a
lan
c
e
d
f
e
e
d
-
li
n
e
s,”
3
6
t
h
Eu
ro
p
e
a
n
M
icr
o
w
a
v
e
Co
n
fe
re
n
c
e
,
p
p
.
1
4
8
3
-
1
4
8
5
,
2
0
0
6
.
[5
]
L
.
H.
W
e
n
g
,
e
t
a
l
.
,
“
A
n
o
v
e
r
v
ie
w
o
n
d
e
f
e
n
c
ted
g
ro
u
n
d
stru
c
tu
re
,
”
Pro
g
re
ss
in
El
e
c
tro
ma
g
-
n
e
ti
c
s
Res
e
a
rc
h
B
,
v
o
l.
7
,
p
p
.
1
7
3
-
1
8
9
,
2
0
0
8
.
[6
]
V
.
Ra
d
isic,
e
t
a
l
.
,
“
A
n
o
v
e
l
2
-
D
p
h
o
to
n
ic
b
a
n
d
g
a
p
S
tru
c
t
u
re
f
o
r
m
icro
strip
li
n
e
s,”
IEE
E
T
ra
n
s
.
M
icr
o
wa
v
e
a
n
d
Gu
id
e
d
W
a
v
e
L
e
tt
.
,
v
o
l
.
8
,
p
p
.
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