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[
6
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.
T
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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Vo
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7
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t
r
eq
u
ir
e
an
y
s
y
m
m
etr
y
i
n
t
h
e
s
tr
u
ctu
r
e
b
ein
g
m
o
d
elled
,
m
o
r
eo
v
er
FDT
D
ca
n
b
e
u
s
ed
f
o
r
t
h
e
i
n
h
o
m
o
g
e
n
eo
u
s
s
tr
u
ct
u
r
e
m
at
er
ials
i
n
t
w
o
o
r
th
r
ee
d
i
m
e
n
s
io
n
f
o
r
m
s
[7
-
10]
.
Fu
r
t
h
er
m
o
r
e,
it
co
m
p
u
te
s
th
e
s
o
lu
tio
n
i
n
t
h
e
ti
m
e
d
o
m
a
in
,
f
r
o
m
w
h
ic
h
t
h
e
f
r
eq
u
e
n
c
y
b
eh
a
v
io
u
r
o
f
t
h
e
elec
tr
o
m
ag
n
etic
b
a
n
d
g
ap
ele
m
en
ts
ca
n
b
e
ex
tr
ac
ted
o
v
er
a
w
id
e
f
r
eq
u
e
n
c
y
r
a
n
g
e.
T
h
e
el
ec
tr
o
m
a
g
n
etic
f
ield
is
r
ep
r
esen
ted
b
y
M
ax
w
e
ll e
q
u
atio
n
s
g
iv
e
n
b
y
t
h
e
f
o
llo
w
i
n
g
r
elatio
n
s
:
{
(
)
(
)
(
)
(
1
)
ε
an
d
µ
r
ep
r
esen
t r
esp
ec
tiv
el
y
th
e
p
er
m
itt
iv
it
y
a
n
d
p
er
m
ea
b
il
it
y
o
f
t
h
e
m
ater
ial.
T
h
e
FDT
D
m
et
h
o
d
is
u
s
ed
h
e
r
e
to
d
is
cr
etize
th
eses
eq
u
at
io
n
s
(
1
)
w
it
h
ti
m
e
s
tep
Δ
t,
s
p
atial
s
tep
s
Δ
x
an
d
Δ
y
w
h
ic
h
ar
e
th
e
d
is
ta
n
ce
b
et
w
ee
n
t
w
o
n
e
ig
h
b
o
r
in
g
g
r
i
d
p
o
in
ts
,
r
esp
ec
ti
v
el
y
alo
n
g
th
e
x
a
n
d
y
d
ir
ec
tio
n
s
in
th
e
x
y
-
co
o
r
d
in
ate
s
y
s
te
m
.
Fo
r
th
e
T
E
m
o
d
e,
t
h
e
n
u
m
er
i
ca
l
s
ch
e
m
e
o
f
th
e
t
w
o
-
d
i
m
en
s
io
n
al
FDT
D
m
eth
o
d
[
1
1
]
is
:
(
)
(
(
)
(
)
)
(
)
(
(
)
(
)
)
(
2
)
(
)
(
(
)
(
)
(
)
(
)
)
I
n
o
r
d
er
to
ac
h
iev
e
th
e
n
u
m
e
r
ical
s
tab
ilit
y
o
f
t
h
e
s
c
h
e
m
e
[
6
]
,
th
e
ti
m
e
s
tep
v
al
u
e
m
u
s
t
s
atis
f
y
th
e
r
elatio
n
o
f
th
e
f
o
llo
w
i
n
g
cr
iter
io
n
:
√
(
)
(
)
(
3
)
W
h
er
e
c
:
is
th
e
v
elo
cit
y
o
f
lig
h
t
i
n
f
r
ee
s
p
ac
e.
A
ls
o
i
n
o
u
r
co
m
p
u
tat
io
n
,
th
e
v
al
u
es
o
f
Δ
x
an
d
Δy
r
esp
ec
t t
h
e
r
elatio
n
:
√
(
4
)
W
h
er
e
ε
r
:
is
th
e
r
elativ
e
p
er
m
itti
v
i
t
y
o
f
t
h
e
d
ielec
tr
ic
m
atr
i
x
a
n
d
is
th
e
w
av
e
len
g
t
h
o
f
th
e
d
esire
d
m
o
d
e.
T
h
e
co
m
p
u
tatio
n
al
d
o
m
ai
n
h
a
s
a
r
ec
ta
n
g
u
lar
s
h
ap
e
in
t
h
e
x
-
y
p
la
n
e.
T
h
e
s
p
atial
d
is
cr
etiza
tio
n
i
n
t
h
e
FDT
D
s
i
m
u
la
tio
n
is
c
h
o
s
en
to
b
e
Δ
x
=
Δ
y
=
0
.
0
4
μ
m
.
A
m
o
d
u
lated
Gau
s
s
ian
p
u
l
s
e
is
u
s
ed
to
p
r
o
v
id
e
a
w
id
e
-
b
an
d
ex
cita
tio
n
at
an
y
d
esire
d
p
o
s
itio
n
in
s
id
e
th
e
co
m
p
u
ta
tio
n
al
d
o
m
ain
co
m
p
r
i
s
in
g
th
e
C
P
.
Sin
ce
th
e
d
ata
s
to
r
ag
e
in
a
co
m
p
u
ter
is
li
m
ite
d
b
y
th
e
s
ize
o
f
its
m
e
m
o
r
y
,
it
is
n
o
t
p
o
s
s
ib
le
to
h
an
d
le
an
o
p
en
r
eg
io
n
p
r
o
b
lem
d
ir
ec
tl
y
.
T
o
m
iti
g
ate
t
h
i
s
p
r
o
b
le
m
,
t
h
e
p
er
f
ec
tl
y
m
atch
ed
la
y
er
(
P
ML
)
tec
h
n
iq
u
e
[
1
2
]
,
[
1
3
]
is
w
id
el
y
u
s
ed
i
n
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
E
C
E
I
SS
N:
2
0
8
8
-
8708
Desig
n
o
f a
S
elec
tive
F
ilter
b
a
s
ed
o
n
2
D
P
h
o
to
n
ic
C
r
ysta
ls
Ma
teri
a
ls
(
La
lla
m
F
a
r
a
h
)
1835
th
e
FDT
D
s
i
m
u
latio
n
s
;
it
e
x
h
ib
its
a
n
ac
c
u
r
ac
y
le
v
el
t
h
at
is
s
i
g
n
if
ican
t
l
y
b
etter
t
h
a
n
m
o
s
t
o
th
er
ab
s
o
r
b
in
g
b
o
u
n
d
ar
y
co
n
d
itio
n
s
(
A
B
C
s
)
[
1
4
]
,
[
1
5
].
Her
e
w
e
co
n
s
id
er
o
n
l
y
t
h
e
co
n
d
itio
n
s
o
f
ab
s
o
r
p
tio
n
-
t
y
p
e
w
all
th
a
t
s
i
m
u
late
a
f
in
ite
d
o
m
ai
n
co
n
t
ain
i
n
g
th
e
e
n
tire
s
tr
u
ct
u
r
e
s
t
u
d
y
b
y
i
n
v
e
s
ti
g
ati
n
g
th
e
lo
w
es
t
r
ef
lectio
n
d
ig
ita
l
in
ter
f
ac
e
s
.
T
h
e
ad
o
p
ted
tw
o
-
d
i
m
e
n
s
io
n
al
fin
ite
d
if
f
er
en
ce
ti
m
e
d
o
m
ai
n
s
i
m
u
lat
io
n
p
r
o
ce
s
s
i
s
s
h
o
w
n
i
n
Fi
g
u
r
e
1
in
x
yz
co
o
r
d
in
ate
s
y
s
te
m
.
A
cc
o
r
d
in
g
to
t
h
e
Fi
g
u
r
e
1
,
t
w
o
lo
ca
ted
d
etec
to
r
s
ar
e
u
s
ed
to
co
m
p
u
te
th
e
r
ef
lectio
n
at
th
e
i
n
p
u
t
an
d
tr
an
s
m
is
s
io
n
at
t
h
e
o
u
tp
u
t
o
f
t
h
e
s
tr
u
ct
u
r
e.
A
Ga
u
s
s
ia
n
s
o
u
r
ce
i
s
e
m
p
l
o
y
ed
f
o
r
e
x
citatio
n
(
s
o
u
r
ce
)
.
T
h
e
s
tr
u
ctu
r
e
is
s
u
r
r
o
u
n
d
ed
b
y
f
o
u
r
s
u
r
r
o
u
n
d
in
g
a
b
s
o
r
b
in
g
w
alls
.
Fig
u
r
e
1
.
T
w
o
d
i
m
e
n
s
io
n
al
fin
ite
d
if
f
er
e
n
ce
ti
m
e
d
o
m
ai
n
s
i
m
u
latio
n
p
r
o
ce
s
s
3.
RE
SU
L
T
S
A
ND
AN
AL
Y
SI
S
I
n
th
e
f
o
llo
w
i
n
g
,
n
u
m
er
ical
s
i
m
u
latio
n
is
d
o
n
e
f
o
r
th
e
f
ir
s
t
to
p
o
lo
g
y
w
h
ich
is
t
h
e
co
m
b
in
atio
n
o
f
th
r
ee
k
i
n
d
s
o
f
w
a
v
e
g
u
id
es
W
1
K
A
co
u
p
led
in
ca
s
ca
d
e
ar
r
an
g
e
m
en
t
w
ith
i
n
t
h
e
s
a
m
e
ce
ll
o
f
P
C
w
it
h
tr
ian
g
u
lar
lattice
a
n
d
w
it
h
o
u
t
ca
v
ities
in
s
id
e
th
e
t
w
o
h
al
f
-
p
la
n
es
o
f
p
h
o
to
n
ic
cr
y
s
tal
s
tr
o
n
g
l
ater
al
co
n
f
in
e
m
e
n
t
(
Fig
u
r
e2
)
.
E
ac
h
w
av
e
g
u
id
e
p
o
s
s
ess
e
s
a
n
u
m
b
er
o
f
h
o
les
n
=1
5
(
to
tal
n
u
m
b
er
o
f
h
o
les
=
4
5
)
.
T
h
e
n
o
r
m
alize
d
s
ize
o
f
h
o
les ar
e
r
esp
ec
ti
v
el
y
r
1
/a
=
0
.
4
4
,
r
2
/a
=
0
.
2
8
8
,
r
3
/a
=
0
.
3
2
9
2
an
d
th
e
latt
ice
co
n
s
ta
n
t a
=
0
.
4
8
μ
m
.
T
h
e
air
cy
li
n
d
er
s
h
o
les
h
av
i
n
g
ar
e
e
m
b
ed
d
ed
in
a
d
ielec
tr
ic
m
atr
i
x
d
o
p
ed
I
NP
/GA
I
NASP
/I
NP
;
r
ef
r
ac
tiv
e
i
n
d
ex
o
f
m
atr
i
x
is
n
=
3
.
2
4
.
T
h
ese
air
r
o
d
s
ar
e
a
r
r
an
g
ed
in
th
e
x
d
ir
ec
tio
n
an
d
s
u
p
p
o
s
ed
in
f
in
i
tel
y
lo
n
g
in
t
h
e
z
d
ir
ec
tio
n
.
T
h
e
tr
an
s
m
i
s
s
io
n
co
ef
f
icie
n
t
v
er
s
u
s
w
a
v
elen
g
t
h
f
o
r
th
e
T
E
p
o
lar
izatio
n
,
d
er
iv
ed
f
r
o
m
th
e
FDT
D
s
i
m
u
lat
io
n
co
r
r
esp
o
n
d
in
g
to
t
h
e
f
ir
s
t
to
p
o
lo
g
y
i
s
p
lo
tted
i
n
Fig
u
r
e
3
(
a
)
.
W
e
o
b
s
er
v
e
th
a
t
th
e
r
esp
o
n
s
e
o
f
t
h
e
f
ilter
is
p
ea
k
ed
ar
o
u
n
d
1
.
5
5
μ
m
.
T
h
e
m
ax
i
m
al
q
u
a
n
tit
y
o
f
tr
a
n
s
m
i
s
s
io
n
co
m
p
u
ted
i
s
7
7
%.
Oth
er
s
p
ea
k
s
ap
p
ea
r
v
er
y
clo
s
e
o
f
th
i
s
f
r
eq
u
en
c
y
w
it
h
co
ef
f
icien
t
o
f
tr
an
s
m
i
s
s
io
n
o
f
v
al
u
e
8
0
%
r
an
g
e
d
in
th
e
f
r
eq
u
e
n
c
y
b
an
d
[
1
.
5
4
-
1
.
5
7
]
μ
m
(
Fi
g
u
r
e
3
(
b
)
).
Fig
u
r
e
2
.
Mo
d
elin
g
s
c
h
e
m
e
o
f
P
C
w
it
h
co
m
b
i
n
a
tio
n
o
f
t
h
r
ee
g
u
id
es
W
1
K
A
w
it
h
tr
ian
g
u
lar
lattice
an
d
w
it
h
o
u
t
ca
v
it
ies
P
h
ot
on
ic
s
t
r
u
c
t
u
r
e
x
Abs
o
r
b
in
gwall
T
r
an
s
m
i
s
s
ion
L
oc
at
e
d
d
e
t
e
c
t
or
(
2)
Re
f
l
e
c
t
ion
L
oc
at
e
d
d
e
t
e
c
t
or
(
1
)
S
ou
r
c
e
Y
Z
Abs
o
r
b
in
g
Wall
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
J
E
C
E
Vo
l.
7
,
No
.
4
,
A
u
g
u
s
t
2017
:
1
8
3
3
–
1
8
3
8
1836
Fig
u
r
e
3
.
C
o
m
p
u
ted
tr
an
s
m
is
s
io
n
co
ef
f
icien
ts
f
o
r
th
e
th
r
ee
s
i
m
u
lated
s
elec
ti
v
e
f
ilter
(
w
ith
o
u
t c
av
i
ties
)
.
r
1
/a
=0
.
4
4
,
r
2
/a=
0
.
2
8
8
an
d
r
3
/a
=
0
.
3
2
9
2
(
a
:
is
th
e
p
er
io
d
ic
lattice
o
f
v
al
u
e
0
.
4
8
μ
m)
An
o
th
er
t
w
o
-
d
i
m
e
n
s
io
n
al
P
C
f
ilter
is
s
i
m
u
lated
in
o
r
d
er
to
eli
m
i
n
ate
u
n
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Desig
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
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0
8
8
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I
J
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C
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Vo
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7
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No
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4
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A
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g
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s
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2017
:
1
8
3
3
–
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3
8
1838
RE
F
E
R
E
NC
E
S
[1
]
L
.
J
y
lh
ä
,
I.
Ko
l
m
a
k
o
v
,
S
.
M
a
slo
v
sk
i,
S
.
T
re
t
y
a
k
o
v
,
“
M
o
d
e
li
n
g
o
f
I
so
tro
p
ic
Ba
c
k
w
a
rd
–
w
a
v
e
M
a
teri
e
ls
Co
m
p
se
d
o
f
Re
so
n
a
n
t
S
p
h
e
re
s
,
”
J
o
u
rn
a
l
o
f
Ap
p
li
e
d
P
h
y
sic
s
,
pp
9
9
,
0
4
3
1
0
2
,
2
0
0
6
.
[2
]
F
.
D
.
M
a
h
a
d
,
A
b
u
S
a
h
m
a
h
M
.
S
u
p
a
’a
t,
D
.
F
o
rsy
th
,
T
.
S
u
n
,
A
.
Iz
a
m
A
z
m
i,
“
Ch
a
ra
c
teriz
a
ti
o
n
o
f
Erb
iu
m
Do
p
e
d
P
h
o
t
o
n
ic Cry
sta
l
F
ib
e
r
,
”
T
EL
KO
M
NIKA
,
v
o
l.
1
4
,
n
o
.
3
,
p
p
.
8
8
0
-
8
8
6
,
2
0
1
6
.
[3
]
R.
D.
M
e
a
d
e
,
A
.
De
v
e
n
y
i,
J.
D.
Jo
a
n
n
o
p
o
u
l
o
s,
O.
L
.
A
lerh
a
n
d
,
D.
A
.
S
m
it
h
e
t
K.
Ka
sh
,
“
No
v
e
l
A
p
p
li
c
a
ti
o
n
s
o
f
P
h
o
t
o
n
ic b
a
n
d
G
a
p
M
a
teria
ls:
L
o
w
L
o
ss
b
e
n
d
s an
d
Q
C
a
v
it
ies
,
”
J
o
u
rn
a
l
o
f
Ap
p
li
e
d
P
h
y
sic
s
,
7
5
,
p
p
.
4
7
5
3
,
1
9
9
4
.
[4
]
E.
Ya
b
lo
n
o
v
it
c
h
,
“
In
h
ib
i
ted
S
p
o
n
tan
e
o
u
s E
m
issio
n
in
S
o
l
id
-
S
tate
P
h
y
sic
s an
d
El
e
c
tro
n
ics
,
”
Ph
y
s.
Rev
.
L
e
tt
.
,
5
8
,
p
p
.
2
0
5
9
-
2
0
6
2
,
1
9
8
7
.
[5
]
J.
D.
Jo
a
n
n
o
p
o
u
l
o
s,
R.
D.
M
a
e
d
e
,
J.
N.
W
in
n
,
“
P
h
o
t
o
n
ic
c
ry
sta
l
s:
M
o
d
e
ll
i
n
g
th
e
ro
w
o
f
li
g
h
t,
”
Prin
c
e
to
n
Un
iv.
Pre
ss
,
1
9
9
5
.
[6
]
H.
Ba
d
a
o
u
i
a
n
d
M
.
A
b
ri,
“
Ne
w
D
e
sig
n
o
f
In
teg
ra
ted
2
D P
h
o
to
n
ic
Cr
y
sta
l
Na
rro
w
Ba
n
d
F
il
ters
Us
in
g
th
e
F
DT
D
-
2
D
M
e
th
o
d
,
”
Fre
q
u
e
n
z
,
6
8
(
1
1
–
1
2
):
p
p
.
5
1
1
-
5
1
8
,
2
0
1
4
.
[7
]
A
.
T
a
f
lo
v
e
,
“
A
d
v
a
n
c
e
s
in
Co
m
p
u
tatio
n
a
l
El
e
c
tro
d
y
n
a
m
i
c
s:
T
h
e
F
in
it
e
-
Diff
e
r
e
n
c
e
T
i
m
e
-
Do
m
a
in
M
e
th
o
d
,
”
No
rw
o
o
d
,
M
A
:
A
rtec
h
Ho
u
se
,
1
9
9
8
.
[8
]
Ha
o
,
Y.,
C
.
J.
Ra
il
to
n
,
“
A
n
a
ly
z
in
g
El
e
c
tro
m
a
g
n
e
ti
c
S
tru
c
tu
re
s
w
it
h
Cu
rv
e
d
B
o
u
n
d
a
ries
o
n
C
a
rtes
ian
F
DT
D
M
e
sh
e
s,
"
IEE
E
T
ra
n
s.
M
icr
o
wa
v
e
T
h
e
o
ry
tec
h
.
4
6
,
p
p
.
8
2
-
8
8
,
1
9
9
8
.
[9
]
L
u
e
b
b
e
rs,
R.
e
t
a
l.
,
“
A
F
re
q
u
e
n
c
y
-
De
p
e
n
d
e
n
t
F
in
it
e
-
Dif
f
e
re
n
c
e
T
i
m
e
-
Do
m
a
in
F
o
rm
u
latio
n
f
o
r
Disp
e
rsiv
e
M
a
teria
ls,
”
IEE
E
T
ra
n
s.
E
lec
tro
ma
g
n
.
Co
m
p
a
t
.
3
2
,
p
p
.
2
2
2
-
2
2
7
,
1
9
9
0
.
[1
0
]
Ba
o
h
e
Yu
a
n
,
Qi
X
u
,
L
in
f
e
i
L
iu
,
X
iy
in
g
M
a
,
“
In
v
e
stig
a
ti
o
n
Ef
f
e
c
ts
o
f
F
il
li
n
g
Ra
te
o
n
th
e
Ba
n
d
s
G
a
p
s
o
f
Tw
o
Dim
e
n
sio
n
a
l
P
h
o
t
o
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ic Cry
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,
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1
.
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