I
nte
rna
t
io
na
l J
o
urna
l o
f
E
lect
rica
l a
nd
Co
m
p
ute
r
E
ng
in
ee
ring
(
I
J
E
CE
)
Vo
l.
8
,
No
.
3
,
J
u
n
e
201
8
,
p
p
.
1
6
1
1
~
1
6
1
7
I
SS
N:
2
0
8
8
-
8708
,
DOI
: 1
0
.
1
1
5
9
1
/
i
j
ec
e
.
v8
i
3
.
p
p
1
6
1
1
-
1617
1611
J
o
ur
na
l ho
m
ep
a
g
e
:
h
ttp
:
//ia
e
s
co
r
e
.
co
m/
jo
u
r
n
a
ls
/in
d
ex
.
p
h
p
/
I
JE
C
E
Effec
t
o
f
the
Thi
c
k
n
ess
of
H
ig
h Tc
Superco
nduc
ting
Rect
a
ng
ula
r Micr
o
strip P
a
tc
h
O
v
er
G
ro
und
P
la
ne
w
ith
Rect
a
ng
ula
r
Apertu
re
Na
bil
B
o
uk
henn
o
ufa
1
,
L
o
t
f
i
Dj
o
ua
ne
2
, H
o
ucine
O
ud
ira
3
, M
o
un
ir
A
m
ir
4
,
T
a
re
k
F
o
rt
a
ki
5
1
,
2,
3
De
p
a
rtm
e
n
t
o
f
El
e
c
tro
n
ics
,
Un
iv
e
rsit
y
o
f
M
o
h
a
m
e
d
Bo
u
d
iaf
,
M
‟sila,
A
lg
e
ri
a
1,
2,
3
L
a
b
o
ra
to
ry
o
f
El
e
c
tri
c
a
l
En
g
in
e
e
rin
g
,
Un
iv
e
rsit
y
o
f
M
o
h
a
m
e
d
Bo
u
d
iaf
,
M
‟sila,
A
lg
e
ria
4
S
c
ien
ti
f
ic an
d
T
e
c
h
n
ica
l
Re
se
a
rc
h
Ce
n
ter i
n
W
e
ld
in
g
a
n
d
Co
n
tr
o
l,
A
l
g
iers
,
A
l
g
e
ria
5
De
p
a
rtme
n
t
o
f
El
e
c
tro
n
ics
,
Un
iv
e
rsit
y
o
f
M
o
ste
f
a
Be
n
Bo
u
lai
d
,
B
a
tn
a
,
A
lg
e
ria
Art
icle
I
nfo
AB
ST
RAC
T
A
r
ticle
his
to
r
y:
R
ec
eiv
ed
J
an
2
9
,
2
0
1
8
R
ev
i
s
ed
A
p
r
1
2
,
2
0
1
8
A
cc
ep
ted
A
p
r
1
8
,
2
0
1
8
In
re
c
e
n
t
y
e
a
rs,
a
g
re
a
t
in
tere
st h
a
s b
e
e
n
o
b
se
rv
e
d
in
t
h
e
d
e
v
e
lo
p
m
e
n
t
a
n
d
u
se
o
f
n
e
w
m
a
teria
ls
in
m
icro
w
a
v
e
t
e
c
h
n
o
l
o
g
y
.
P
a
rti
c
u
larly
,
a
sp
e
c
ial
i
n
tere
st h
a
s
b
e
e
n
o
b
se
rv
e
d
in
th
e
u
se
o
f
su
p
e
rc
o
n
d
u
c
ti
n
g
m
a
teria
ls
in
m
icro
w
a
v
e
in
teg
ra
ted
c
ircu
it
s
,
t
h
is
is
d
u
e
to
th
e
ir
m
a
in
c
h
a
ra
c
teristics
.
In
th
is
p
a
p
e
r,
t
h
e
c
o
m
p
lex
re
so
n
a
n
t
f
re
q
u
e
n
c
y
p
ro
b
lem
o
f
a
su
p
e
rc
o
n
d
u
c
to
r
p
a
tch
o
v
e
r
G
ro
u
n
d
P
la
n
e
w
it
h
Re
c
tan
g
u
lar
A
p
e
rtu
re
is
f
o
rm
u
late
d
in
term
s
o
f
a
n
i
n
teg
ra
l
e
q
u
a
ti
o
n
,
th
e
k
e
rn
e
l
o
f
w
h
ich
is
th
e
d
y
a
d
ic
G
re
e
n
‟s
f
u
n
c
ti
o
n
.
G
a
l
e
rk
in
‟s
p
ro
c
e
d
u
re
is
u
se
d
in
th
e
re
so
lu
t
io
n
o
f
th
e
e
lec
tri
c
f
ield
i
n
teg
ra
l
e
q
u
a
ti
o
n
.
T
h
e
su
rf
a
c
e
i
m
p
e
d
a
n
c
e
o
f
th
e
su
p
e
r
c
o
n
d
u
c
to
r
f
il
m
is
m
o
d
e
led
u
sin
g
th
e
t
w
o
f
lu
id
s
m
o
d
e
l
o
f
G
o
rter
a
n
d
Ca
si
m
ir.
Nu
m
e
ri
c
a
l
re
su
lt
s
c
o
n
c
e
rn
in
g
th
e
e
ff
e
c
t
o
f
th
e
th
ick
n
e
ss
o
f
th
e
s
u
p
e
rc
o
n
d
u
c
t
o
r
p
a
tch
o
n
th
e
c
h
a
ra
c
te
risti
c
s
o
f
th
e
a
n
ten
n
a
a
re
p
re
se
n
ted
.
K
ey
w
o
r
d
:
Fu
ll
-
w
a
v
e
an
a
l
y
s
is
Hig
h
T
c
s
u
p
er
co
n
d
u
ctin
g
Mic
r
o
s
tr
ip
p
atch
R
ec
tan
g
u
lar
ap
er
tu
r
e
Co
p
y
rig
h
t
©
2
0
1
8
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
:
Nab
il
B
o
u
k
h
e
n
n
o
u
f
a,
Dep
ar
t
m
en
t o
f
E
lectr
o
n
ics,
L
ab
o
r
ato
r
y
o
f
E
lec
tr
ical
E
n
g
in
ee
r
in
g
,
Un
i
v
er
s
it
y
o
f
Mo
h
a
m
ed
B
o
u
d
iaf
,
M‟
s
ila,
B
P
1
6
6
M'
s
ila
2
8
0
0
0
,
A
lg
er
ia.
E
m
ail:
b
o
u
k
h
e
n
n
o
u
f
a.
n
ab
il
@
g
m
a
il.c
o
m
1.
I
NT
RO
D
UCT
I
O
N
Mic
r
o
w
a
v
e
p
ass
i
v
e
d
ev
ices
s
u
ch
as
r
eso
n
ato
r
s
,
f
ilter
s
a
n
d
an
ten
n
a
s
ar
e
o
n
e
o
f
th
e
m
ain
a
p
p
licatio
n
s
o
f
t
h
e
h
ig
h
T
C
s
u
p
er
co
n
d
u
cti
n
g
(
HT
S)
m
ater
ials
.
T
h
e
y
s
h
o
w
s
u
p
er
io
r
p
er
f
o
r
m
a
n
ce
a
n
d
c
h
ar
ac
ter
is
tic
s
to
t
h
e
n
o
r
m
al
m
etal
d
ev
ice
s
,
s
u
c
h
as
:
th
e
p
o
w
er
lo
s
s
e
s
ar
e
lo
w
,
r
ed
u
ctio
n
o
f
atten
u
atio
n
an
d
n
o
is
e
lev
el,
b
esid
es
th
e
p
r
o
p
ag
atio
n
ti
m
e
o
f
s
i
g
n
als
i
n
t
h
e
ci
r
cu
it
ca
n
b
e
g
r
ea
tl
y
r
ed
u
ce
d
[
1
]
-
[
6
]
.
T
h
is
allo
w
s
t
o
b
e
u
s
ed
in
s
e
v
er
al
ap
p
licatio
n
s
s
u
c
h
a
s
m
o
b
ile
co
m
m
u
n
icatio
n
s
,
r
ad
ar
s
a
n
d
f
ilter
s
[
7
]
-
[
1
0
]
.
T
h
e
s
tu
d
y
o
f
t
h
e
r
eso
n
a
n
t
ch
ar
ac
ter
is
tic
s
o
f
Hi
g
h
T
c
s
u
p
er
co
n
d
u
ctin
g
m
icr
o
s
tr
ip
a
n
te
n
n
as
h
a
s
b
ee
n
f
ir
s
t
s
t
u
d
ied
b
y
[
4
]
u
s
i
n
g
t
h
e
ca
v
it
y
m
o
d
el.
S
in
ce
t
h
e
ca
v
it
y
m
o
d
el
d
o
es
n
o
t
co
n
s
id
er
r
ig
o
r
o
u
s
l
y
t
h
e
ef
f
ec
t
s
o
f
s
u
r
f
ac
e
w
av
e
s
an
d
f
r
in
g
in
g
f
ield
s
a
t
th
e
ed
g
e
o
f
t
h
e
p
atch
.
R
ec
e
n
t
l
y
;
S
ilv
a
h
a
s
s
t
u
d
ied
t
h
e
r
eso
n
an
t
ch
ar
ac
ter
is
tics
o
f
Hi
g
h
T
c
s
u
p
er
co
n
d
u
ctin
g
m
icr
o
s
tr
ip
an
ten
n
as
u
s
in
g
t
h
e
f
u
ll
-
w
av
e
a
n
al
y
s
is
[
1
1
]
,
[
1
2
]
.
I
t
is
n
o
ted
t
h
at
i
n
t
h
e
ab
o
v
e
w
o
r
k
s
,
t
h
e
ef
f
ec
t
o
f
th
i
n
s
u
p
er
co
n
d
u
cti
n
g
p
atc
h
w
a
s
n
o
t st
u
d
ied
.
I
n
th
i
s
p
ap
er
,
th
e
ef
f
ec
t
o
f
th
i
n
s
u
p
er
co
n
d
u
cti
n
g
p
atc
h
l
o
ad
in
g
o
n
t
h
e
r
eso
n
a
n
t
f
r
eq
u
en
c
y
a
n
d
b
an
d
w
id
t
h
o
f
r
ec
ta
n
g
u
lar
m
ic
r
o
s
tr
ip
s
tr
u
ctu
r
e
s
ill
u
s
tr
ated
i
n
F
ig
u
r
e
1
is
in
v
es
tig
a
ted
.
T
h
e
co
m
p
le
x
r
eso
n
a
n
t
f
r
eq
u
en
c
y
p
r
o
b
le
m
co
n
s
id
er
ed
h
er
e
is
f
o
r
m
u
lated
i
n
te
r
m
s
o
f
an
i
n
teg
r
al
eq
u
atio
n
u
s
i
n
g
v
ec
to
r
Fo
u
r
ier
tr
an
s
f
o
r
m
s
[
1
3
]
.
T
h
e
s
u
r
f
ac
e
i
m
p
ed
a
n
ce
o
f
t
h
e
s
u
p
er
co
n
d
u
ct
o
r
f
il
m
i
s
m
o
d
eled
u
s
i
n
g
t
h
e
t
w
o
f
l
u
id
s
m
o
d
el
o
f
Go
r
ter
an
d
C
a
s
i
m
ir
[
5
]
,
[
11
]
,
[
1
4
]
.
T
h
e
p
ap
er
is
o
r
g
a
n
ize
d
as
f
o
llo
w
s
.
F
ir
s
t,
t
h
e
in
te
g
r
al
eq
u
atio
n
f
o
r
th
e
u
n
k
n
o
w
n
p
atch
c
u
r
r
en
ts
is
f
o
r
m
u
la
ted
.
T
h
e
d
er
iv
atio
n
is
p
er
f
o
r
m
ed
in
th
e
Fo
u
r
ier
tr
an
s
f
o
r
m
d
o
m
ai
n
an
d
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2088
-
8708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
8
,
No
.
3
,
J
u
n
e
2
0
1
8
:
1
6
1
1
–
1617
1612
u
tili
ze
d
t
h
e
d
y
ad
ic
Gr
ee
n
‟
s
f
u
n
ctio
n
o
f
t
h
e
co
n
s
id
er
ed
s
tr
u
c
t
u
r
e,
w
it
h
o
u
t
ta
k
i
n
g
i
n
to
ac
co
u
n
t
t
h
e
e
f
f
ec
t
o
f
th
e
s
u
p
er
co
n
d
u
cti
v
it
y
.
T
o
in
clu
d
e
th
e
e
f
f
ec
t
o
f
t
h
e
s
u
p
er
co
n
d
u
ctiv
it
y
o
f
th
e
p
atc
h
,
s
u
r
f
ac
e
c
o
m
p
le
x
i
m
p
ed
an
ce
,
Zs
i
s
co
n
s
id
er
ed
.
T
h
e
Gale
r
k
in
m
o
m
e
n
t
m
e
th
o
d
is
u
s
ed
t
o
s
o
lv
e
t
h
e
i
n
te
g
r
al
eq
u
a
tio
n
.
T
h
e
ch
ar
ac
ter
is
tic
eq
u
atio
n
f
o
r
th
e
co
m
p
lex
r
es
o
n
an
t
f
r
eq
u
e
n
cies
is
g
i
v
en
.
V
ar
io
u
s
n
u
m
er
ical
r
es
u
l
t
s
ar
e
g
iv
e
n
i
n
S
ec
tio
n
3
.
Fin
all
y
,
co
n
cl
u
s
io
n
s
ar
e
s
u
m
m
ar
ized
in
S
ec
tio
n
4
.
Fig
u
r
e
1
.
Geo
m
e
tr
ical
s
tr
u
c
tu
r
e
o
f
a
s
u
p
er
co
n
d
u
cti
n
g
r
ec
tan
g
u
lar
m
icr
o
s
tr
ip
p
atch
2.
ANALY
SI
S M
E
T
H
O
D
I
n
t
h
is
p
ap
er
an
e
f
f
icie
n
t
tec
h
n
iq
u
e
to
d
er
iv
e
t
h
e
d
y
ad
ic
Gr
ee
n
‟
s
f
u
n
ct
io
n
s
f
o
r
Su
p
er
c
o
n
d
u
cti
n
g
m
icr
o
s
tr
ip
p
atch
o
v
er
g
r
o
u
n
d
p
lan
e
w
it
h
ap
er
tu
r
e
is
p
r
o
p
o
s
ed
.
T
h
e
tr
an
s
v
er
s
e
f
ield
i
n
s
i
d
e
is
o
tr
o
p
ic
r
eg
io
n
(
0
<z
<d
)
ca
n
b
e
o
b
tain
ed
v
ia
th
e
in
v
er
s
e
v
ec
to
r
Fo
u
r
ier
tr
an
s
f
o
r
m
s
a
s
:
s
s
s
s
x
y
2
1
(
,
z
)
(
,
)
.
(
,
z
)
d
k
d
k
4
E
r
F
k
r
e
k
(
1
)
s
s
s
s
x
y
2
1
(
,
z
)
(
,
)
.
(
,
z
)
d
k
d
k
4
H
r
F
k
r
h
k
(
2
)
W
h
er
e:
ss
xy
i.
ss
yx
s
kk
1
(
,
)
e
kk
k
kr
F
k
r
,
s
ˆˆ
xy
r
x
y
,
s
x
y
ˆˆ
kk
k
x
y
,
ss
k
k
.
zz
i
z
i
z
s
s
s
(
,
z
)
e
(
)
e
(
)
kk
e
k
A
k
B
k
(
3
)
zz
i
z
i
z
s
s
s
s
(
,
z
)
(
)
e
(
)
e
(
)
kk
h
k
g
k
A
k
B
k
(
4
)
I
n
(
3
)
an
d
(
4
)
,
A
an
d
B
ar
e
to
c
o
m
p
o
n
en
t
u
n
k
n
o
w
n
v
ec
to
r
s
a
n
d
eh
z
z
z
d
i
a
g
k
,
k
k
,
h
0
x
z
s
e
0
z
k
(
)
d
i
a
g
,
k
gk
(
5
)
e
z
k
an
d
h
z
k
ar
e
p
r
o
p
ag
atio
n
co
n
s
ta
n
ts
f
o
r
T
M
an
d
T
E
w
a
v
e
s
r
e
s
p
ec
tiv
el
y
in
s
u
b
s
tr
ate
[
1
5
]
-
[
1
8
]
.
W
r
itin
g
(
3
)
an
d
(
4
)
in
th
e
p
lan
e
z
=0
an
d
z
=d
,
an
d
b
y
eli
m
in
a
tin
g
th
e
u
n
k
n
o
w
n
s
A
an
d
B
,
w
e
o
b
tain
th
e
m
a
tr
ix
f
o
r
m
:
ss
ss
(
,
d
)
(
,
0
)
(
,
d
)
(
,
0
)
e
k
e
k
T
h
k
h
k
(
6
)
x
y
b
a
d
0
z
e
S
up
e
r
c
o
nd
uc
t
i
ng
P
at
c
h
D
i
e
l
e
c
t
r
i
c
s
ub
st
r
at
e
0
0
0
,
,
z
x
a
o
R
e
c
t
an
g
ul
ar
Ape
r
t
ur
e
a
o
x
b
o
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
E
ffect
o
f th
e
Th
ickn
ess
o
f H
ig
h
Tc
S
u
p
erco
n
d
u
ctin
g
R
ec
ta
n
g
u
la
r
Micr
o
s
tr
ip
P
a
tch
…
(
N
a
b
il B
o
u
kh
e
n
n
o
u
fa
)
1613
W
ith
1
1
1
2
1
z
2
1
2
2
c
o
s
i
s
i
n
,
d
i
s
i
n
c
o
s
TT
θ
g
θ
T
θk
T
T
g
θθ
(
7
)
E
q
u
atio
n
(
7
)
co
m
b
in
e
s
e
an
d
h
o
n
b
o
th
s
id
es
o
f
s
u
b
s
tr
ate
as
in
p
u
t
an
d
o
u
tp
u
t
q
u
a
n
titi
e
s
.
T
h
e
co
n
tin
u
it
y
eq
u
atio
n
s
f
o
r
th
e
ta
n
g
e
n
tial
f
ield
co
m
p
o
n
e
n
t
s
at
t
h
e
in
ter
f
ac
e
z
=d
ar
e:
s
s
s
(
,
d
)
(
,
d
)
(
,
d
)
(
)
s
e
k
e
k
e
k
e
k
(
8
)
s
s
s
(
,
d
)
(
,
d
)
(
)
h
k
h
k
j
k
(
9
)
s
()
jk
in
(
9
)
is
r
elate
d
to
th
e
v
ec
to
r
Fo
u
r
ier
tr
an
s
f
o
r
m
o
f
s
()
Jr
,
th
e
cu
r
r
en
t o
n
t
h
e
p
atch
,
as [
1
9
]
s
s
s
s
x
y
(
)
(
,
)
.
(
)
d
k
d
k
j
k
F
k
r
J
r
,
xs
s
ys
J
(
)
(
)
J
(
)
r
Jr
r
(
1
0
)
T
h
e
co
n
tin
u
it
y
eq
u
atio
n
s
f
o
r
t
h
e
tan
g
e
n
tial
f
ield
co
m
p
o
n
e
n
t
s
at
z
=0
ar
e
:
s
s
s
0
(
,
0
)
(
,
0
)
(
,
0
)
(
)
s
e
k
e
k
e
k
e
k
(
1
1
)
s
s
0
s
(
,
0
)
(
,
0
)
(
)
h
k
h
k
j
k
(
1
2
)
I
n
(
1
2
)
,
0s
()
jk
is
t
h
e
v
ec
to
r
Fo
u
r
ier
tr
an
s
f
o
r
m
o
f
t
h
e
cu
r
r
e
n
t
0s
()
Jr
o
n
t
h
e
g
r
o
u
n
d
p
la
n
e
w
it
h
a
r
ec
tan
g
u
lar
ap
er
tu
r
e.
I
n
th
e
u
n
b
o
u
n
d
ed
air
r
e
g
io
n
ab
o
v
e
th
e
p
atch
th
e
elec
tr
o
m
a
g
n
etic
f
iel
d
g
iv
e
n
b
y
(
3
)
an
d
(
4
)
s
h
o
u
ld
at
z
(
z
)
ac
co
r
d
in
g
to
Su
m
m
er
f
ield
‟
s
co
n
d
it
io
n
o
f
r
ad
ia
tio
n
,
an
d
th
i
s
y
ield
s
:
s
0
s
s
(
,
d
)
(
)
(
,
d
)
h
k
g
k
e
k
(
1
3
)
s
0
s
s
(
,
0
)
(
)
(
,
0
)
h
k
g
k
e
k
(
1
4
)
W
h
er
e
0s
()
gk
ca
n
b
e
ea
s
il
y
o
b
tain
e
d
f
r
o
m
t
h
e
e
x
p
r
ess
io
n
o
f
s
()
gk
g
i
v
en
i
n
(
5
)
b
y
allo
w
i
n
g
x
z
r
1
.
C
o
m
b
in
i
n
g
(
6
)
,
(
8
)
,
(
9
)
an
d
(
1
)
-
(
1
4
)
,
w
e
o
b
tain
a
r
elatio
n
a
m
o
n
g
s
()
jk
,
s
()
jk
,
()
s
ek
an
d
0
()
s
ek
g
i
v
en
b
y
:
x
x
x
y
x
x
x
y
x0
xx
y
x
y
y
y
x
y
y
y0
yy
Q
Q
W
W
W
W
E
EJ
Q
Q
W
W
W
W
E
EJ
(
1
5
)
x
x
x
y
x
x
x
y
x
0
x
0
x
y
x
y
y
y
x
y
y
y
0
y
0
y
W
W
W
W
Y
Y
JE
J
W
W
W
W
y
y
JE
J
(
1
6
)
T
o
in
clu
d
e
th
e
e
f
f
ec
t
o
f
th
e
s
u
p
er
co
n
d
u
cti
n
g
o
f
th
e
m
icr
o
s
t
r
ip
f
il
m
,
t
h
e
d
y
ad
ic
Gr
ee
n
‟
s
f
u
n
ct
io
n
i
s
m
o
d
i
f
ied
b
y
co
n
s
id
er
i
n
g
a
s
u
r
f
ac
e
co
m
p
le
x
i
m
p
ed
an
ce
Zs
,
i
s
d
eter
m
i
n
ate
b
y
u
s
in
g
t
h
e
m
o
d
el
o
f
Go
r
ter
an
d
C
asi
m
ir
[
5
]
,
[
11
]
,
[
1
4
]
.
0
s
Z
2
(
1
7
)
I
f
th
e
th
ic
k
n
es
s
o
f
t
h
e
s
u
p
er
co
n
d
u
cti
n
g
f
il
m
R
is
le
s
s
th
a
n
t
h
r
ee
p
en
etr
atio
n
d
ep
th
s
,
a
b
ette
r
b
o
u
n
d
ar
y
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2088
-
8708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
8
,
No
.
3
,
J
u
n
e
2
0
1
8
:
1
6
1
1
–
1617
1614
co
n
d
itio
n
is
g
i
v
en
b
y
[
5
]
:
s
1
Z
R.
(
1
8
)
W
h
er
e
th
e
co
m
p
le
x
co
n
d
u
cti
v
it
y
is
g
i
v
en
b
y
[
5
]
,
[
7]
4
4
2
n
0
0
C
C
T
T
1i
T
T
(
1
9
)
W
ith
λ
0
is
t
h
e
s
k
i
n
d
ep
th
at
ze
r
o
te
m
p
er
atu
r
e,
σ
n
is
th
e
c
o
n
d
u
cti
v
it
y
o
f
n
o
r
m
al
elec
tr
o
n
s
a
n
d
T
c
cr
itical
te
m
p
er
atu
r
e
o
f
t
h
e
s
u
p
er
co
n
d
u
cto
r
.
T
h
e
elec
tr
ic
f
ield
an
d
th
e
s
u
r
f
ac
e
cu
r
r
en
t
d
en
s
ities
to
tal
i
n
t
h
e
in
ter
f
ac
e
z
=d
(
E
,
J
)
TT
ar
e
th
e
elec
tr
ic
f
ield
s
a
n
d
th
e
s
u
r
f
ac
e
c
u
r
r
en
t
d
en
s
itie
s
in
t
h
e
f
il
m
(
E
,
J
)
ii
TT
an
d
o
u
t th
e
f
i
l
m
(
E
,
J
)
OO
TT
r
esp
ec
tiv
el
y
.
io
T
T
T
io
T
T
T
E
E
E
J
J
J
(
2
0
)
B
y
s
u
b
s
t
i
tu
tin
g
E
q
u
atio
n
(
2
0
)
in
E
q
u
atio
n
(
1
5
)
,
w
e
o
b
tain
o
x
x
s
x
y
x
x
x
y
x0
xx
o
y
x
y
y
s
y
x
y
y
y0
yy
Q
Z
Q
W
W
W
W
E
EJ
Q
Q
Z
W
W
W
W
E
EJ
(
2
1
)
x
x
x
y
x
x
x
y
x
0
x
0
x
y
x
y
y
y
x
y
y
y
0
y
0
y
W
W
W
W
Y
Y
JE
J
W
W
W
W
y
y
JE
J
(
2
2
)
B
o
u
n
d
ar
y
co
n
d
itio
n
s
r
eq
u
ir
e
th
at
th
e
tr
an
s
v
er
s
e
elec
tr
ic
f
ield
o
f
(
2
1
)
v
an
is
h
e
s
o
n
t
h
e
s
u
p
er
co
n
d
u
cti
n
g
p
atc
h
a
n
d
t
h
e
cu
r
r
en
t
o
f
(
2
2
)
v
ar
n
i
s
h
e
s
o
f
f
g
r
o
u
n
d
p
lan
e,
to
g
i
v
e
th
e
f
o
llo
w
in
g
co
u
p
led
in
te
g
r
al
eq
u
atio
n
s
f
o
r
th
e
p
atc
h
cu
r
r
en
t a
n
d
ap
er
tu
r
e
f
ield
:
x
x
s
x
x
y
y
x
x
x
0
x
y
y
0
x
y
x
y
[
(
Q
Z
)
J
Q
J
W
W
E
W
W
E
]
e
x
p
(
i
k
x
i
k
y
)
d
k
d
k
0
(
2
3
)
y
x
x
y
y
s
y
y
x
x
0
y
y
y
0
x
y
x
y
[
Q
J
(
Q
Z
)
J
W
W
E
W
W
E
]
e
x
p
(
i
k
x
i
k
y
)
d
k
d
k
0
(
2
4
)
x
x
x
x
y
y
x
x
x
0
x
y
y
0
x
y
x
y
[
W
W
J
W
W
J
Y
E
Y
E
]
e
x
p
(
i
k
x
i
k
y
)
d
k
d
k
0
(
2
5
)
y
x
x
y
y
y
y
x
x
0
y
y
y
0
x
y
x
y
[
W
W
J
W
W
J
Y
E
Y
E
]
e
x
p
(
i
k
x
i
k
y
)
d
k
d
k
0
(
2
6
)
3.
NUM
E
RICAL
R
E
SU
L
T
S A
ND
DIS
C
USS
I
O
N
T
ab
le
1
s
u
m
m
ar
ize
s
th
e
ca
lc
u
lated
r
eso
n
an
ce
f
r
eq
u
e
n
cies
an
d
th
o
s
e
o
b
tain
ed
th
r
o
u
g
h
th
e
ca
v
it
y
m
o
d
el
[
6
]
f
o
r
t
h
r
ee
d
i
f
f
er
en
t
w
id
t
h
s
o
f
th
e
p
atch
a
n
d
d
if
f
er
en
ce
s
b
et
w
ee
n
t
h
ese
r
e
s
u
l
ts
d
u
es
les
s
t
h
a
n
2
%
ar
e
o
b
tain
ed
.
E
x
ce
lle
n
t
a
g
r
ee
m
e
n
t
b
et
w
ee
n
o
u
r
r
es
u
lts
an
d
th
o
s
e
ca
lcu
lated
b
y
Fu
l
l
-
w
a
v
e
an
al
y
s
i
s
[
1
1
]
an
d
t
h
o
s
e
o
b
tain
ed
b
y
C
av
i
t
y
Mo
d
el
[
6
]
is
o
b
s
er
v
ed
an
d
r
ep
r
esen
ted
in
T
a
b
le
2
.
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
E
ffect
o
f th
e
Th
ickn
ess
o
f H
ig
h
Tc
S
u
p
erco
n
d
u
ctin
g
R
ec
ta
n
g
u
la
r
Micr
o
s
tr
ip
P
a
tch
…
(
N
a
b
il B
o
u
kh
e
n
n
o
u
fa
)
1615
T
ab
le
1
.
C
o
m
p
ar
is
o
n
o
f
C
alc
u
lated
R
eso
n
a
n
t
F
r
eq
u
e
n
c
ies
w
i
th
th
o
s
e
P
r
esen
ted
b
y
R
ic
h
ar
d
et
al
[
6
]
a
=
1
6
3
0
m
,
n
=
1
0
6
S
/
M
,
T
c
=
8
9
K
,
0
=
1
4
0
n
m
,
e
=
3
5
0
n
m
;
T
=
7
7
K
,
r
=
2
3
.
8
1
,
d
=
2
5
4
m
a
n
d
a
0
=0
b
(
µ
m
)
R
e
so
n
a
n
c
e
F
r
e
q
u
e
n
c
i
e
s
(
G
H
z
)
Er
r
o
r
(
%)
C
a
v
i
t
y
M
o
d
e
l
[
6
]
Ou
r
r
e
su
l
t
s
9
3
5
2
8
.
9
5
2
8
.
7
6
0
.
6
6
1
0
5
0
2
6
.
1
2
2
6
.
2
9
0
.
6
5
1
1
0
0
2
5
.
0
5
2
5
.
3
3
1
.
1
2
T
ab
le
2
.
C
o
m
p
ar
is
o
n
o
f
C
alc
u
lated
R
eso
n
a
n
t
F
r
eq
u
e
n
cies
w
i
th
th
o
s
e
P
r
esen
ted
b
y
R
ic
h
ar
d
e
t a
l [
6
]
an
d
Sil
v
a
et
al
[
1
1
]
a
=1
6
3
0
m,
b
=9
3
5
m,
n
=1
0
6
S
/M,
T
c
=8
9
K
,
0
=1
4
0
n
m,
e=
3
5
0
n
m;
T=5
0
K
,
d
=
2
5
4
m
a
n
d
a
0
=0
R
e
l
a
t
i
v
e
P
e
r
mi
t
t
i
v
i
t
y
(
r
)
R
e
so
n
a
n
c
e
F
r
e
q
u
e
n
c
i
e
s (G
H
z
)
F
u
l
l
-
w
a
v
e
a
n
a
l
y
si
s [
1
1
]
C
a
v
i
t
y
M
o
d
e
l
[
6
]
O
u
r
r
e
su
l
t
s
11
4
1
.
0
4
1
4
1
.
6
3
8
4
1
.
5
8
5
16
3
4
.
8
5
6
3
5
.
3
0
0
3
4
.
8
1
6
2
3
.
8
1
2
8
.
6
7
1
2
8
.
9
3
7
2
8
.
7
6
4
T
h
e
in
f
lu
e
n
ce
o
f
th
e
th
ick
n
ess
o
f
t
h
e
s
u
p
er
co
n
d
u
cti
n
g
f
il
m
o
n
th
e
o
p
er
atin
g
f
r
eq
u
en
c
y
an
d
b
an
d
w
id
t
h
o
f
t
h
e
an
te
n
n
a
w
it
h
o
u
t
a
n
d
w
ith
r
ec
ta
n
g
u
la
r
ap
er
tu
r
e
is
s
t
u
d
ied
in
Fi
g
u
r
e
2
an
d
Fig
u
r
e
3
.
T
h
e
th
ic
k
n
e
s
s
o
f
t
h
e
r
ec
ta
n
g
u
lar
p
atch
i
s
n
o
r
m
alize
d
w
it
h
r
e
s
p
ec
t
to
th
e
p
e
n
etr
atio
n
d
ep
th
to
ze
r
o
te
m
p
er
atu
r
e.
I
n
th
e
ca
s
e
o
f
th
e
an
ten
n
a
h
a
v
in
g
a
r
ec
tan
g
u
lar
ap
er
tu
r
e,
t
h
e
s
iz
e
th
er
eo
f
is
1
6
3
µm
x
9
3
.
5
µm
.
T
h
e
ch
ar
ac
ter
is
tic
s
o
f
t
h
e
s
u
p
er
co
n
d
u
ct
in
g
f
il
m
ar
e:
0
=
1
0
0
n
m
,
n
=
9
.
8
3
1
0
5
S
/
M
an
d
T
c
=
8
9
K
.
Fo
r
th
e
m
icr
o
s
tr
ip
an
te
n
n
a
,
t
h
e
f
o
llo
w
in
g
p
ar
a
m
eter
s
ar
e
u
s
ed
:
a
=
1
6
3
0
m
,
b
=9
3
5
m
,
b
=2
5
4
m
a
n
d
r
=
2
3
.
8
1
.
T
h
e
o
p
er
atin
g
te
m
p
er
at
u
r
e
is
T =
50K
.
Fig
u
r
e
2
.
R
eso
n
a
n
t
f
r
eq
u
en
c
y
o
f
a
s
u
p
er
co
n
d
u
ct
in
g
m
icr
o
s
tr
ip
an
te
n
n
a
w
it
h
an
d
with
o
u
t a
p
er
t
u
r
e
in
t
h
e
g
r
o
u
n
d
p
lan
e
ac
co
r
d
in
g
to
th
e
s
tan
d
ar
d
ized
th
ic
k
n
e
s
s
o
f
th
e
s
u
p
er
co
n
d
u
cti
n
g
f
i
l
m
Fig
u
r
e
3
.
B
an
d
w
id
t
h
o
f
a
s
u
p
er
co
n
d
u
ctin
g
m
icr
o
s
tr
ip
an
ten
n
a
w
it
h
a
n
d
w
i
th
o
u
t a
p
er
tu
r
e
in
t
h
e
g
r
o
u
n
d
p
lan
e
ac
co
r
d
in
g
to
th
e
s
tan
d
ar
d
i
ze
d
th
ick
n
ess
o
f
th
e
s
u
p
er
co
n
d
u
cti
n
g
f
il
m
I
t
is
n
o
ted
th
a
t
w
h
en
t
h
e
t
h
ic
k
n
es
s
o
f
th
e
s
u
p
er
co
n
d
u
cto
r
f
il
m
i
n
cr
ea
s
e
s
,
t
h
e
r
eso
n
a
n
t
f
r
eq
u
en
c
y
a
n
d
b
an
d
w
id
t
h
o
f
th
e
an
te
n
n
a
w
it
h
o
u
t
i
n
cr
ea
s
in
g
o
p
en
in
g
as
well
as
to
th
e
an
ten
n
a
ap
er
tu
r
e.
No
te
th
at
th
e
ef
f
ec
t
o
f
t
h
e
t
h
ic
k
n
e
s
s
o
f
th
e
s
u
p
er
co
n
d
u
cti
n
g
f
il
m
i
s
lar
g
er
f
o
r
s
m
all
v
al
u
es
o
f
e
(
e
0
.
1
0
)
.
W
h
en
e
e
x
ce
ed
s
0
.
1
0
,
th
e
in
cr
ea
s
e
in
t
h
e
th
ic
k
n
ess
o
f
th
e
s
u
p
er
co
n
d
u
cti
n
g
f
il
m
s
lo
w
l
y
in
cr
ea
s
es
th
e
r
eso
n
an
t
f
r
eq
u
e
n
c
y
a
n
d
b
an
d
w
id
t
h
.
E
x
tr
e
m
e
ca
r
e
s
h
o
u
ld
b
e
tak
e
n
w
h
e
n
d
esi
g
n
i
n
g
a
m
icr
o
s
tr
ip
an
te
n
n
a
w
it
h
a
t
h
in
s
u
p
er
co
n
d
u
cti
n
g
f
il
m
,
s
in
ce
a
s
m
all
u
n
ce
r
tain
t
y
w
h
en
th
e
p
atch
i
s
m
ad
e
m
a
y
r
es
u
lt
i
n
a
s
i
g
n
if
ica
n
t
g
ap
i
n
t
h
e
f
r
eq
u
en
c
y
a
n
d
b
an
d
w
id
t
h
o
f
t
h
e
an
te
n
n
a.
Fig
u
r
e
4
p
l
ot
s
t
he
r
a
di
at
i
o
n
pa
tt
e
r
ns
in
t
he
E
-
pl
a
ne
(
=0
)
a
n
d
H
-
p
lan
e
(
=
/2
)
o
f
a
r
e
c
t
a
n
g
u
l
a
r
m
i
cr
o
s
tr
ip
pa
t
c
h
o
ve
r
t
he
gr
o
un
d
pl
a
ne
s
w
i
t
h
a
nd
w
it
h
o
ut
r
e
ct
a
ng
ul
a
r
a
pe
r
t
ur
e
s
i
n
bo
t
h
t
he
ai
r
ha
l
f
-
s
pa
c
e
a
bo
ve
t
he
pa
t
c
h
a
nd
t
he
co
n
c
er
n
in
g
r
ad
iatio
n
ab
o
v
e
th
e
p
atch
.
I
t
is
clea
r
th
at
it
d
ec
r
ea
s
es w
it
h
t
h
e
in
cr
ea
s
e
o
f
th
e
s
ize
o
f
t
h
e
ap
er
tu
r
e.
0
,0
0
,2
0
,4
0
,6
0
,8
1
,0
2
8
,0
2
8
,1
2
8
,2
2
8
,3
2
8
,4
2
8
,5
2
8
,6
2
8
,7
2
8
,8
R
e
so
n
a
n
t
F
re
q
u
e
n
cy
-F
r-
(G
H
Z
)
T
h
e
t
h
i
ck
n
e
ss
o
f
su
p
e
rco
n
d
u
ct
i
n
g
f
i
l
m
w
i
t
h
R
e
ct
a
n
g
u
l
a
r
Ape
rt
u
re
w
i
t
h
o
u
t
R
e
ct
a
n
g
u
l
a
r
Ape
rt
u
re
0
,0
0
,2
0
,4
0
,6
0
,8
1
,0
1
,2
9
1
,3
0
1
,3
1
1
,3
2
1
,3
3
1
,3
4
1
,3
5
1
,3
6
1
,3
7
1
,3
8
1
,3
9
b
a
n
d
w
i
d
t
h
(%
)
T
h
e
t
h
i
ck
n
e
ss
o
f
su
p
e
rco
n
d
u
ct
i
n
g
f
i
l
m
w
i
t
h
R
e
ct
a
n
g
u
l
a
r
Ape
rt
u
re
w
i
t
h
o
u
t
R
e
ct
a
n
g
u
l
a
r
Ape
rt
u
re
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2088
-
8708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
8
,
No
.
3
,
J
u
n
e
2
0
1
8
:
1
6
1
1
–
1617
1616
Fig
u
r
e
4
.
R
ad
iatio
n
p
atter
n
s
o
f
r
ec
tan
g
u
lar
p
atch
es o
v
er
th
e
g
r
o
u
n
d
p
lan
es
w
i
th
a
n
d
w
ith
o
u
t
r
ec
tan
g
u
lar
ap
er
tu
r
es (
a)
H
-
p
lan
e,
(
b
)
E
-
p
lan
e
;
w
it
h
L
p
=
1
5
mm
,
W
p
=
1
0
m
m
,
ɛ
r
=
7
,
d
=
1
mm
0
=1
0
0
n
m
,
n
=9
.
8
3
1
0
5
S
/M
an
d
T
c
=8
9
K
4.
CO
NCLU
SI
O
N
W
e
h
av
e
p
r
esen
ted
a
r
ig
o
r
o
u
s
f
u
ll
-
w
av
e
a
n
al
y
s
i
s
o
f
r
ec
ta
n
g
u
lar
m
icr
o
s
tr
ip
p
atch
o
v
er
Gr
o
u
n
d
P
lan
e
w
it
h
R
ec
ta
n
g
u
lar
A
p
er
tu
r
e
u
s
in
g
s
u
p
er
co
n
d
u
cti
n
g
m
ater
ial
s
.
T
h
e
p
r
o
b
lem
h
as
b
ee
n
f
o
r
m
u
lated
in
ter
m
s
o
f
in
te
g
r
al
eq
u
atio
n
s
u
s
i
n
g
v
ec
to
r
Fo
u
r
ier
tr
an
s
f
o
r
m
s
.
A
n
e
f
f
ic
ien
t
tec
h
n
iq
u
e
h
as
b
ee
n
u
s
ed
f
o
r
d
eter
m
i
n
in
g
t
h
e
d
y
ad
ic
Gr
ee
n
‟
s
f
u
n
ctio
n
s
.
G
aler
k
in
‟
s
m
et
h
o
d
h
a
s
b
ee
n
u
s
ed
to
s
o
l
v
e
t
h
e
s
u
r
f
ac
e
cu
r
r
en
t
d
e
n
s
it
y
o
n
t
h
e
r
ec
tan
g
u
lar
p
atc
h
.
T
h
e
ca
lc
u
la
ted
r
esu
lt
s
h
a
v
e
b
ee
n
co
m
p
ar
e
d
w
i
th
ca
lcu
lated
an
d
m
ea
s
u
r
e
d
o
n
es
a
v
ailab
le
in
th
e
liter
at
u
r
e
an
d
ex
ce
lle
n
t a
g
r
ee
m
en
t h
a
s
b
ee
n
f
o
u
n
d
.
E
x
tr
e
m
e
ca
r
e
s
h
o
u
ld
b
e
tak
e
n
w
h
e
n
d
esig
n
i
n
g
a
m
icr
o
s
tr
ip
a
n
ten
n
a
w
it
h
t
h
i
n
s
u
p
er
co
n
d
u
ct
in
g
p
atc
h
;
s
in
ce
s
m
all
u
n
ce
r
tai
n
t
y
in
t
h
ic
k
n
e
s
s
o
f
t
h
e
s
u
p
er
co
n
d
u
cti
n
g
p
atch
ca
n
r
esu
l
t
in
an
i
m
p
o
r
tan
t
d
etu
n
in
g
o
f
t
h
e
f
r
eq
u
en
c
y
.
RE
F
E
R
E
NC
E
S
[1
]
S
.
Be
d
ra
,
T
.
F
o
rtak
i,
A
.
M
e
ss
a
i
a
n
d
R.
Be
d
ra
,
“
S
p
e
c
tral
Do
m
a
in
A
n
a
l
y
si
s
o
f
Re
so
n
a
n
t
Ch
a
ra
c
teristics
o
f
Hig
h
T
c
S
u
p
e
rc
o
n
d
u
c
ti
n
g
Re
c
tan
g
u
lar
M
icro
strip
P
a
tch
P
ri
n
ted
o
n
Iso
tro
p
i
c
o
r
Un
iax
ial
A
n
iso
tro
p
ic
S
u
b
str
a
tes
”
,
W
ir
e
les
s
Per
so
n
a
l
C
o
mm
u
n
ica
ti
o
n
s
,
v
o
l.
8
6
,
n
o
2,
p
p
.
4
9
5
-
5
1
1
,
2
0
1
6
.
[2
]
F
.
Be
n
m
e
d
d
o
u
r
,
C.
D
u
m
o
n
d
,
F
.
Be
n
a
b
d
e
laz
iz
a
n
d
F
.
Bo
u
tt
o
u
t
,
“
Im
p
ro
v
in
g
th
e
p
e
rf
o
rm
a
n
c
e
s
o
f
a
h
ig
h
T
c
su
p
e
rc
o
n
d
u
c
ti
n
g
c
ircu
lar
m
icro
str
ip
a
n
ten
n
a
w
it
h
m
u
lt
il
a
y
e
re
d
c
o
n
f
ig
u
ra
ti
o
n
a
n
d
a
n
is
o
tro
p
ic
d
iele
c
tri
c
s”
,
Pro
g
re
ss
In
El
e
c
tro
ma
g
n
e
ti
c
s R
e
se
a
rc
h
C
,
v
o
l.
1
8
,
p
p
.
1
6
9
-
1
8
3
,
2
0
1
1
.
[3
]
N.
S
e
k
i
y
a
,
A
.
Ku
b
o
ta,
A
.
Ko
n
d
o
,
S
.
Hira
n
o
,
A
.
S
a
it
o
a
n
d
S
.
Oh
sh
im
a
,
“
Bro
a
d
b
a
n
d
su
p
e
rc
o
n
d
u
c
ti
n
g
m
icro
strip
p
a
tch
a
n
ten
n
a
u
si
n
g
a
d
d
i
ti
o
n
a
l
g
a
p
-
c
o
u
p
led
re
so
n
a
to
rs”
,
P
h
y
sic
a
C
,
p
p
.
4
4
5
-
4
4
8
,
2
0
0
6
.
[4
]
A
.
Ca
ss
in
e
se
,
M
.
Ba
rra
,
I.
F
ra
g
a
la,
M
.
Ku
su
n
o
k
i,
G
.
M
a
lan
d
rin
o
,
T
.
Na
k
a
g
a
wa
,
L
.
M
.
S
.
P
e
rd
ica
ro
,
K.
S
a
to
,
S
.
Oh
sh
im
a
a
n
d
R.
V
a
g
li
o
,
“
S
u
p
e
rc
o
n
d
u
c
ti
n
g
a
n
ten
n
a
s
f
o
r
tele
c
o
m
m
u
n
ica
ti
o
n
a
p
p
li
c
a
ti
o
n
s
b
a
se
d
o
n
d
u
a
l
m
o
d
e
c
ro
ss
slo
tt
e
d
p
a
tch
e
s”
,
Ph
y
sic
a
C
,
p
p
.
3
7
2
-
3
7
6
,
2
0
0
2
.
[5
]
B.
B.
G
.
Klo
p
m
a
n
a
n
d
H.
R
o
g
a
ll
a
,
“
T
h
e
p
ro
p
a
g
a
ti
o
n
c
h
a
ra
c
terist
ics
o
f
w
a
v
e
-
g
u
id
in
g
str
u
c
tu
re
s
w
it
h
v
e
r
y
th
in
su
p
e
rc
o
n
d
u
c
t
o
rs;
A
p
p
li
c
a
ti
o
n
t
o
c
o
p
lan
a
r
w
a
v
e
g
u
id
e
YBa
2
CU3
O7
-
x
re
so
n
a
to
rs”
,
IEE
E
T
r
a
n
s.
M
icr
o
wa
v
e
T
h
e
o
ry
T
e
c
h
.
,
v
o
l.
4
1
,
n
o
.
5
,
p
p
.
7
8
1
-
7
9
1
,
1
9
9
3
.
[6
]
M
.
A
.
Rich
a
rd
,
K
.
B.
Bh
a
sin
a
n
d
P
.
C.
Clap
sy
,
“
S
u
p
e
rc
o
n
d
u
c
ti
n
g
m
icro
strip
a
n
ten
n
a
s:
A
n
e
x
p
e
ri
m
e
n
tal
c
o
m
p
a
riso
n
o
f
tw
o
fe
e
d
in
g
m
e
th
o
d
s”
,
IEE
E
T
ra
n
s.
A
n
ten
n
a
s P
r
o
p
a
g
a
t
.
,
Vo
l.
4
1
,
N
o
7
,
p
p
.
9
6
7
-
9
7
4
,
1
9
9
3
.
[7
]
T
.
F
irma
n
s
y
a
h
,
He
ru
d
in
,
S
u
h
e
n
d
a
r,
R.
W
iry
a
d
in
a
ta,
M
.
Im
a
n
S
a
n
to
so
,
Y.
R.
De
n
n
y
a
n
d
T
.
S
u
p
riy
a
n
to
,
“
Ba
n
d
w
id
t
h
a
n
d
G
a
in
En
h
a
n
c
e
m
e
n
t
o
f
M
IM
O
A
n
ten
n
a
b
y
Us
in
g
Rin
g
a
n
d
Circu
lar
P
a
ra
siti
c
w
it
h
A
ir
-
G
a
p
M
icro
strip
S
tru
c
tu
re
”
,
T
E
L
KOM
NIKA
(
T
e
lec
o
mm
u
n
ica
ti
o
n
Co
m
p
u
t
in
g
El
e
c
tro
n
ics
a
n
d
Co
n
tro
l)
,
v
o
l
.
1
5
,
n
o
.
3
,
p
p
.
1
1
5
5
-
1
1
6
3
,
2
0
1
7
.
[8
]
A
.
S
in
g
h
,
Ka
m
a
k
sh
i,
M
.
A
n
e
e
sh
a
n
d
J.A
.
A
n
sa
ri.
“
S
lo
ts
a
n
d
No
tch
e
s
L
o
a
d
e
d
M
icro
strip
P
a
t
c
h
A
n
ten
n
a
f
o
r
W
irele
ss
Co
m
m
u
n
ica
ti
o
n
”
,
T
E
L
KOM
NIKA
(
T
e
le
c
o
mm
u
n
ica
ti
o
n
Co
mp
u
ti
n
g
E
lec
tro
n
ics
a
n
d
Co
n
tro
l)
,
v
o
l.
1
3
,
n
o
3
,
p
p
.
5
8
4
-
5
9
4
,
2
0
1
5
.
[9
]
D.
F
it
su
m
,
D.
M
a
li
a
n
d
M
.
Is
m
a
il
,
“
Du
a
l
-
Ba
n
d
P
ro
x
im
it
y
Co
u
p
led
F
e
e
d
M
icro
strip
P
a
tch
A
n
ten
n
a
with
„T
‟
S
lo
t
o
n
th
e
Ra
d
iatin
g
P
a
tch
a
n
d
„Du
m
b
b
e
ll
‟
S
h
a
p
e
d
De
f
e
c
t
e
d
G
ro
u
n
d
S
tru
c
tu
re
”
,
In
d
o
n
e
si
a
n
J
o
u
r
n
a
l
o
f
El
e
c
tri
c
a
l
En
g
i
n
e
e
rin
g
a
n
d
C
o
mp
u
ter
S
c
ien
c
e
,
v
o
l.
3
,
n
o
.
2
,
p
p
.
4
3
5
-
4
4
0
,
2
0
1
6
.
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
E
ffect
o
f th
e
Th
ickn
ess
o
f H
ig
h
Tc
S
u
p
erco
n
d
u
ctin
g
R
ec
ta
n
g
u
la
r
Micr
o
s
tr
ip
P
a
tch
…
(
N
a
b
il B
o
u
kh
e
n
n
o
u
fa
)
1617
[1
0
]
D.
F
istu
m
,
D.
M
a
li
a
n
d
M
.
Is
m
a
il
,
“
Ba
n
d
w
id
th
En
h
a
n
c
e
m
e
n
t
o
f
Re
c
tan
g
u
lar
M
icro
strip
P
a
tc
h
A
n
ten
n
a
u
si
n
g
De
fe
c
ted
G
ro
u
n
d
S
tru
c
t
u
re
”
,
In
d
o
n
e
sia
n
J
o
u
rn
a
l
o
f
El
e
c
trica
l
En
g
in
e
e
rin
g
a
n
d
Co
mp
u
ter
S
c
ien
c
e
,
v
o
l.
3
,
n
o
.
2
,
p
p
.
4
2
8
-
4
3
4
,
2
0
1
6
.
[1
1
]
S
.
G
.
d
a
S
il
v
a
,
A
.
G
.
d
‟
A
ss
u
ç
ä
o
a
n
d
J.R.
S
.
Oliv
e
ira,
“
A
n
a
l
y
sis
o
f
h
ig
h
T
c
su
p
e
rc
o
n
d
u
c
ti
n
g
m
i
c
ro
strip
a
n
ten
n
a
s
a
n
d
a
rra
y
s
”
,
S
BM
O/IEE
E
M
T
T
-
S
IM
OC.
,
1
9
9
9
.
[1
2
]
T
.
F
o
rtak
i,
D.
Kh
e
d
ro
u
c
h
e
,
F
.
Bo
u
tt
o
u
t
a
n
d
A
.
Be
n
g
h
a
li
a
,
“
V
e
c
to
r
Ha
n
k
e
l
tran
sf
o
r
m
a
n
a
l
y
sis
o
f
a
t
u
n
a
b
le
c
ircu
la
r
m
icro
strip
p
a
tch
”
,
Co
mm
u
n
.
N
u
m
e
r.
M
e
th
.
En
g
n
g
,
p
p
.
2
1
9
-
2
3
1
,
2
0
0
5
.
[1
3
]
T
.
Ito
h
,
“
A
f
u
ll
-
w
a
v
e
a
n
a
l
y
sis
m
e
th
o
d
f
o
r
o
p
e
n
m
icro
strip
str
u
c
tu
re
s”
,
IEE
E
T
ra
n
s.
An
ten
n
a
s
Pro
p
a
g
a
t.
,
v
o
l.
2
9
,
n
o
.
1
,
p
p
.
6
3
-
6
7
,
1
9
8
1
.
[1
4
]
Z.
Ca
i
a
n
d
J.
Bo
r
n
e
m
a
n
n
,
“
Ge
n
e
ra
li
z
e
d
sp
e
c
tral
-
d
o
m
a
in
a
n
a
l
y
si
s
f
o
r
m
u
lt
il
a
y
e
re
d
c
o
m
p
lex
m
e
d
ia
a
n
d
h
ig
h
-
T
c
su
p
e
rc
o
n
d
u
c
t
o
r
a
p
p
li
c
a
ti
o
n
s”
,
IE
EE
T
ra
n
s.
M
icr
o
wa
v
e
T
h
e
o
ry
T
e
c
h
.
,
v
o
l
.
4
0
,
n
o
.
1
2
,
p
p
.
2
2
5
1
-
2
2
5
7
,
1
9
9
2
.
[1
5
]
T
.
F
o
rtak
i
a
n
d
A
.
Be
n
g
h
a
li
a
,
“
Rig
o
ro
u
s
f
u
ll
-
w
a
v
e
a
n
a
l
y
sis
o
f
r
e
c
tan
g
u
lar
m
icro
strip
p
a
tch
e
s
o
v
e
r
g
ro
u
n
d
p
lan
e
s
w
it
h
re
c
tan
g
u
lar
a
p
e
rtu
re
s
in
m
u
lt
il
a
y
e
re
d
su
b
stra
tes
th
a
t
c
o
n
tain
iso
tro
p
ic
a
n
d
u
n
iax
ial
a
n
iso
tr
o
p
ic
m
a
teria
ls
”
,
M
icr
o
wa
v
e
Op
t.
T
e
c
h
n
o
l.
L
e
tt
.
,
v
o
l.
4
1
,
n
o
.
6
,
p
p
.
4
9
6
-
5
0
0
,
2
0
0
4
.
[1
6
]
T
.
F
o
rtak
i,
D.
Kh
e
d
ro
u
c
h
e
,
F
.
B
o
u
tt
o
u
t,
a
n
d
A
.
Be
n
g
h
a
li
a
,
“
Nu
m
e
r
ica
l
a
n
a
l
y
sis o
f
r
e
c
tan
g
u
lar
m
icro
strip
p
a
tch
o
v
e
r
g
ro
u
n
d
p
lan
e
w
it
h
re
c
tan
g
u
lar
a
p
e
rtu
re
”
,
Co
mm
u
n
.
Nu
me
r.
M
e
th
.
En
g
n
g
.
(
J
o
h
n
W
il
e
y
&
S
o
n
s)
,
v
o
l
.
2
0
,
n
o
.
6
,
p
p
.
4
8
9
-
5
0
0
,
2
0
0
4
.
[1
7
]
T
.
F
o
rtak
i.
a
n
d
A
.
Be
n
g
h
a
li
a
,
“
S
tu
d
y
o
f
re
c
ta
n
g
u
la
r
mic
ro
strip
p
a
t
c
h
o
v
e
r
g
ro
u
n
d
p
l
a
n
e
wit
h
re
c
ta
n
g
u
l
a
r
a
p
e
rtu
re
in
th
e
p
re
se
n
c
e
o
f
a
h
ig
h
-
p
e
rm
it
ti
v
it
y
d
iele
c
tric
la
y
e
r
b
e
lo
w
t
h
e
a
p
e
rtu
re
”
,
P
ro
c
e
e
d
in
g
o
f
th
e
1
6
t
h
In
ter
n
a
ti
o
n
a
l
Co
n
f
e
re
n
c
e
o
n
M
icr
o
e
lec
tro
n
ics
,
T
u
n
is,
T
u
n
isia,
De
c
e
m
b
e
r
2
0
0
4
.
[1
8
]
C.
Zeb
iri
M
.
L
a
sh
a
b
a
n
d
F
.
Be
n
a
b
d
e
laz
iz,
“
Eff
e
c
t
o
f
a
n
iso
tro
p
i
c
m
a
g
n
e
to
-
c
h
iralit
y
o
n
th
e
c
h
a
r
a
c
teristics
o
f
a
m
icro
strip
re
so
n
a
to
r”
,
IE
T
M
icr
o
w.
An
te
n
n
a
s P
ro
p
a
g
.
,
v
o
l
.
4
,
n
o
.
4
,
p
p
.
4
4
6
-
4
5
2
,
2
0
1
0
.
[1
9
]
L
.
Djo
u
a
n
e
,
S
.
Be
d
ra
,
R.
Be
d
ra
a
n
d
T
.
F
o
r
tak
i,
“
Ne
u
ro
sp
e
c
tral
m
o
d
e
li
n
g
o
f
re
c
tan
g
u
lar
p
a
tch
with
re
c
tan
g
u
lar
a
p
e
rtu
re
in
th
e
g
ro
u
n
d
p
lan
e
”
,
I
n
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
M
icr
o
w
a
v
e
a
n
d
W
ire
les
s
T
e
c
h
n
o
l
o
g
ies
,
v
o
l.
7
,
n
o
.
6
,
p
p
.
7
5
9
-
7
6
8
,
2
0
1
5
.
Evaluation Warning : The document was created with Spire.PDF for Python.