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‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬
‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬
‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬ :
•WHL
•PD
•
:‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬:
•‫لللل‬ ‫لل‬ ‫للل‬ ‫لللل‬ ‫للل‬ ‫لل‬ ‫لللل‬ ‫للللللل‬ ‫للل‬P‫للل‬ ‫لللل‬ ‫لل‬
•:‫لللل‬ ‫لل‬ ‫لللللل‬ ‫للل‬ ‫لللل‬ ‫لل‬
1-‫للللللل‬ ‫للل‬ ‫للل‬
‫للل‬ ‫لللل‬ ‫لل‬:
22
)(.)(.
r
CosdI
r
CosdI
dEh
θ
=
Ψ
=
‫لل‬
‫للل‬
‫ل‬
‫للل‬
‫للل‬
‫لل‬
‫للل‬
‫للل‬
‫للل‬
‫لل‬L
‫للل‬
)(.... θCosdydxLdSLdI ==
‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬
:‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬
‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬:
222
yxDr ++=r
D
Cos =)(θ
‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬:
2222
2
)(
...
yxD
dydxDL
dEh
++
=
‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬
‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬P:‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬
∫∫ ++
=
WH
h
yxD
dydx
LDE
0
2222
0
2
)(
.
:‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬
2
2
1
22
22222
0
2222
2
3
)(2
1
)).((2)(
yD
W
tg
yD
WyDyD
W
yxD
dx
W
++
+
+++
=
++
−
∫
‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬
‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬
‫لل‬ ‫للللللل‬ ‫للل‬ ‫للل‬ ‫لل‬ ‫لللللللللل‬ ‫ل‬
:‫لللل‬ ‫لللللل‬ ‫للللل‬ ‫للللل‬
}
)(
1
)).((
{
2
0
22
1
2
3
22
0
22222
2
dy
yD
W
tg
yD
yWDyD
dy
W
LD
E
H
H
h
∫
∫
++
+
+++
=
−
:‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬‫ل‬
)1(}
)(
{
1
)).(( 0
222
0
22
0
22222
B
yWD
dy
yD
dy
wyWDyD
dy
W
HHH
∫∫∫ ++
−
+
=
+++
‫ل‬
‫ل‬
‫ل‬
‫ل‬
‫ل‬
‫ل‬
‫ل‬
‫ل‬
‫ل‬
‫ل‬
‫ل‬
‫ل‬
‫ل‬
‫ل‬
‫ل‬
‫ل‬
‫ل‬
‫ل‬
+
++
=
++
−−
∫ 22
1
2
1
222
0 2
2
1
2
3
22
).()(
1
HD
W
tg
HDD
H
dy
yD
W
tg
yD
H
)2(
1
. 0
22
0
2222
22
B
yD
dy
WyWD
dy
DW
WD
HH
∫∫ +
−
++
+
‫للل‬ ‫للل‬ ‫لل‬ ‫للللللل‬ ‫لل‬
‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬
P:‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬
∫ ++
+
++
= −
H
h
yWD
dy
D
W
HD
W
tg
HDD
HLD
E
0
222222
1
222
2
}{
2
‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬)P(
:‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬
}{
2 222
1
22222
1
22
WHD
H
Sin
WD
W
WHD
W
Sin
HD
HL
Eh
+++
+
+++
= −−
‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬
‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬P:
1-wH‫ههه‬ ‫هه‬ ‫هه‬‫هه‬ ‫هه‬
‫هههه‬ ‫ههه‬ ‫:ههههه‬
)}()({
2 22
1
22
1
∞+∞
∞
+
∞+∞
∞
= −−
SinSin
L
Eh ‫ه‬
‫ه‬
‫ه‬
:4
)}
2
1
()
2
1
({
2
11 πL
SinSin
L
Eh =+= −−
‫ه‬
‫ه‬
‫ه‬
‫ه‬
‫ه‬
‫ه‬
4
‫ه‬
‫ه‬
‫ه‬
‫ه‬
‫ه‬
‫ه‬
‫ه‬
‫ه‬
‫ه‬
‫ه‬
‫ه‬
‫ه‬
‫ه‬
‫ه‬
‫ه‬
π
π
L
L
Eh =×=
4
4
.‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬
‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬
2-WH
})({
2
11
D
H
Sin
D
W
D
W
Sin
D
HL
Eh
∆∆
+
∆∆
= −−
‫ههههه‬ ‫هه‬ ‫هههه‬ ‫هه‬ ‫ه‬
‫هههه‬ ‫هههههه‬ ‫هههه‬
:‫ههههه‬
θθ ∆≈∆ )(Sin
‫ههههههه‬ ‫ههه‬ ‫ههه‬
‫ههه‬ ‫ههههه‬ ‫ههههه‬
: ‫ههه‬ ‫هه‬
2222
.
}{
2 D
I
D
SL
D
HW
D
WHL
Eh =
∆
=
∆∆
+
∆∆
=
‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬
‫هههه‬ ‫ههههههه‬ ‫ههه‬
‫هههه‬ ‫هه‬ ‫هههه‬ ‫هههههه‬
‫:هههه‬‫هههه‬ ‫هه‬ ‫ههه‬ ‫هههه‬ ‫ههه‬ ‫هه‬ ‫هههه‬ ‫ههههههه‬ ‫ههه‬
P:‫هههه‬ ‫هه‬ ‫هههههه‬ ‫ههه‬ ‫هههه‬ ‫هه‬ ‫هههه‬ ‫هههه‬ ‫هه‬
:‫هههه‬ ‫هههه‬ ‫هه‬ ‫ههههههه‬ ‫ههه‬ ‫ههه‬
2
.).().(.
r
dydxSinCosL
dEv
θθ
=
‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬
:‫هههه‬ ‫هههههه‬ ‫ههههههه‬ ‫ههههه‬ ‫ه‬ ‫هه‬
)(
..
. 222
22
Dyx
dydxyx
LDdEv
++
+
=
‫هههه‬ ‫هه‬ ‫هههه‬ ‫هههه‬ ‫هه‬P‫هههههه‬ ‫ههههه‬ ‫هههه‬ ‫هههه‬ ‫هه‬
∫∫ ++
+
=
WH
v
Dyx
dxyx
dyLDE
0
222
22
0
)(
.
.
‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬
‫هههه‬ ‫ههههه‬ ‫هههه‬‫ه‬ ‫ههههه‬ ‫ههههه‬ ‫ههه‬ ‫ههههههه‬
}sin{
2 222
1
22
1
WHD
H
HD
D
D
W
tg
L
Ev
+++
−= −−
:‫هه‬ ‫ههههه‬ ‫ه‬ ‫هههه‬ ‫هههه‬ ‫هههه‬
‫هههه‬ ‫ههه‬ ‫ههههه‬ ‫هه‬ ‫ه‬:
4
πL
Ev =
‫هههه‬ ‫ههه‬ ‫ههه‬:
0=vE
‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬
‫هههه‬ ‫هههههههه‬
:‫هههههه‬ ‫هههه‬‫ههههههه‬ ‫ههه‬ ‫ههههه‬ ‫هه‬ ‫هههه‬ ‫هه‬
‫هههه‬ ‫هههههه‬ ‫هههه‬ ‫هه‬ ‫هه‬ ‫هههه‬
‫ههه‬ ‫ههه‬ ‫هه‬ ‫هههههه‬ ‫هههه‬ ‫هه‬ ‫هه‬
‫هههه‬ ‫ههه‬ ‫ههههه‬ ‫ههههه‬ ‫ه‬ ‫ههههه‬
:‫ههه‬
mh ELE == π.‫هههه‬ ‫هههه‬ ‫هه‬ ‫هه‬ ‫هههه‬ ‫ههه‬ ‫ههه‬
‫ههه‬ ‫ههههه‬ ‫ههههه‬ ‫ههه‬ ‫هه‬ ‫هههه‬
:‫ههه‬
ALAE π=×=Φ
‫ه‬ ‫ههه‬ ‫ههههه‬ ‫ههههه‬ ‫ههه‬ ‫هههه‬ ‫ههه‬ ‫ههههه‬
A
L
.π
Φ
=
‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬‫ه‬
‫ييييييي‬ ‫ييي‬ ‫يييييي‬
‫ييييي‬ ‫يييي‬ ‫يي‬ ‫يي‬ ‫يييي‬
‫يي‬ :
‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬
‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬
‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬P‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬:‫ي‬‫ي‬‫ي‬‫ي‬
:‫ييي‬ ‫يييي‬ ‫يي‬ ‫ييييييي‬ ‫ييي‬ ‫ييي‬
22
)(.)(.
r
CosdI
r
CosdI
dEh
θ
=
Ψ
=
‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬L:‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬
)(...2.. θρρπ CosdLdSLdI ==
‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬
:‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬
2
2
)(...2.
r
CosdL
dEh
θρρπ
=
‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬ρ‫ي‬Ө‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬:‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬
22
ρ+= Dr‫ي‬
r
D
Cos =)(θ
:‫يييي‬ ‫يييييي‬ ‫ييييييي‬ ‫ييييي‬ ‫ي‬ ‫يي‬
222
2
)(
...2.
ρ
ρρπ
+
=
D
DdL
dEh
‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬
‫يييي‬ ‫يي‬ ‫يييي‬ ‫ييي‬ ‫يي‬ ‫يي‬ ‫يييي‬P‫ييييييي‬ ‫ييييي‬
∫ +
=
a
h
D
d
LDE
0
222
2
)(
.2
ρ
ρρ
π
‫يييي‬ρ‫ييي‬ ‫يي‬U:‫يييي‬ ‫يييييي‬ ‫ييي‬ ‫ييي‬ ‫يي‬
ρρ ddU .2=⇒
22
ρ+= DU
:‫ييي‬ ‫يي‬ ‫يي‬ ‫ييي‬ ‫يييي‬ ‫يي‬ ‫ييي‬ ‫يييييي‬
2
0 DU =⇒=ρ ‫ي‬
22
DaUa +=⇒=ρ
‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬
‫يييييي‬
‫ييييي‬
‫يي‬ ‫:ييييي‬
22
2
22
2
]
1
[2
2
2 Da
D
Da
D
h
U
DL
U
dU
DLE +
+
−== ∫ ππ
‫يي‬ ‫يييي‬ ‫يييييي‬ ‫يييي‬ ‫يييييييي‬ ‫يييي‬
22
2
222
2
.]
11
[
Da
a
L
DaD
DLEh
+
=
+
−= ππ
‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬
‫ي‬ ‫يييي‬ ‫يييي‬ ‫يييي‬ ‫ييييي‬
‫ييييييي‬ ‫ييي‬ ‫يي‬ ‫يي‬ ‫ييييي‬
‫يييي‬P:
‫ييي‬ ‫ييي‬ ‫ييييي‬ ‫يي‬ ‫يي‬πLEh =
‫ييييي‬ ‫يييييي‬ ‫يييي‬ ‫يي‬ ‫يييي‬ ‫ييييييي‬ ‫ييي‬ ‫ييي‬ ‫يييي‬ ‫ييي‬ ‫ي‬
22
2
.
D
I
D
aL
Eh ==
π
2-a‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬:
‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬
•)‫يييي‬1‫ييييي‬ ‫يي‬ ‫ييييي‬ ‫يييييييي‬ :(4*6
‫يي‬ ‫ييييي‬ ‫يييي‬ ‫يي‬ ‫يييي‬ ‫ييييييي‬
‫يييييييي‬
•‫ييييييي‬800nit‫ييييي‬ ‫يي‬ ‫ي‬4*6‫ييييييي‬
.‫ييي‬ ‫يي‬ ‫يييي‬ ‫يييي‬ ‫ييي‬ ‫ييي‬ ‫ييي‬ ‫يي‬ ‫يي‬
•‫يييي‬ ‫يييييي‬4‫يييييي‬ ‫يي‬ ‫يييييي‬ ‫ي‬ ‫ييي‬
‫ييي‬ .‫يييي‬ ‫يييي‬ ‫يييي‬ ‫يي‬ ‫يي‬ ‫يييي‬ ‫يي‬
‫ييييييي‬
•.‫يييي‬ ‫يييي‬ ‫يييي‬ ‫ييي‬ ‫يي‬ ‫ي‬ ‫ييي‬ ‫ييي‬ ‫يي‬
‫يييييي‬ ‫يييي‬ ‫ييي‬ ‫يي‬ ‫ييييييي‬ ‫يييي‬ ‫ييي‬
‫ييي‬
•.‫ييي‬ ‫ييي‬ ‫يييي‬ ‫يييييي‬ ‫ي‬ ‫ييي‬
‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬‫ي‬
}{
2 222
1
22222
1
221
WHD
H
Sin
WD
W
WHD
W
Sin
HD
HL
E h
+++
+
+++
= −−
}
323
2
33
3
323
3
23
2
{400
222
1
22222
1
221
+++
+
+++
= −−
SinSinE h
)(6.2781 luxE h =
‫عععع‬ ‫عع‬ ‫عع‬ ‫عععع‬4:‫عععع‬ ‫عع‬ ‫ععع‬ ‫ععععع‬ ‫ععععع‬
)(4.11146.2784 luxEh =×=
‫ععع‬ ‫عععععع‬
‫ععع‬ ‫عع‬ ‫ععععععع‬
‫:ععع‬
‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬
•) ‫عععع‬2‫ععععععع‬ ‫ععع‬ ‫عععع‬ ‫عع‬ ‫ععع‬ :(
‫عععع‬ ‫ععععع‬ ‫ع‬ ‫عععع‬ ‫ععع‬ ‫ععععع‬
‫عععععع‬
•0.5‫عع‬ ‫عععع‬ ‫ععععععع‬ ‫ععع‬ ‫عععععع‬
.‫عععع‬ ‫عععع‬ ‫ععع‬ ‫ععع‬ ‫عع‬ ‫عع‬ ‫ععععععع‬
‫ععع‬
•‫ععععععع‬ ‫ععع‬ ‫عع‬ ‫ععععععع‬ ‫ععع‬ ‫عععع‬
‫ععععع‬ ‫ععععع‬ ‫ععععععع‬ ‫ععع‬ ‫عععع‬
:‫ععع‬
‫عععع‬ ‫ععع‬ ‫عععع‬ ‫عع‬ ‫عععع‬ ‫عععع‬ ‫عععع‬ ‫عععععععع‬ ‫ععععع‬ ‫عع‬ ‫عع‬
}sin{
2 222
1
22
1
WHD
H
HD
D
D
W
tg
L
Ev
+++
−= −−
‫عع‬‫عععع‬ ‫ععععععع‬ ‫ععع‬ ‫عععععع‬ ‫عع‬ ‫عععع‬ ‫ععععع‬ ‫ع‬ ‫عععع‬ ‫ع‬ ‫عععع‬
}
622
2
sin
22
2
2
6
{
2
800
2
222
1
22
1
+++
−×= −−
tgE vm
)(77.858}306.0707.0249.1{800 luxE vm =×−=
‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬
‫عععععع‬
‫عععععععع‬
‫:ععععع‬
)(68705.04477.8581 lmAEm WW =×××=××=Φ ρ
)(67.136
44
6870
.
nit
A
L =
××
=
Φ
=
ππ
‫ععععع‬ ‫ععععععع‬ ‫ععع‬ ‫عععع‬ ‫ععع‬ ‫ععع‬ ‫ععععع‬ ‫عععععع‬ ‫عع‬
)(26.57}
323
2
sin
23
3
3
3
{
2
67.136
2
222
1
22
1
1
luxtgE Wv =
+++
−×= −−
‫عععع‬ ‫ع‬2‫ععععععع‬ ‫ععع‬ ‫ععععع‬ ‫ععععع‬
‫ععععع‬ ‫ععععع‬ ‫عععع‬114.52lux.‫ععع‬
‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬
‫ععع‬ ‫عععععع‬
‫ع‬ ‫ععععععع‬
:‫ععععععع‬ ‫عععععععع‬
‫عععععععع‬ :‫ع‬4*6:‫ععععع‬ ‫عع‬ ‫عععع‬ ‫عع‬
‫ععع‬ ‫عععع‬ ‫عع‬ ‫عععع‬ ‫عععع‬ ‫عععع‬ ‫عععععععع‬
:‫ععععع‬ ‫عععععع‬
}sin{
2 222
1
22
1
WHD
H
HD
D
D
W
tg
L
Ev
+++
−= −−
‫ع‬‫ععععع‬ ‫ععع‬ ‫ععععععع‬ ‫عع‬ ‫عععع‬ ‫ععععع‬ ‫ع‬ ‫عععع‬ ‫ع‬ ‫عععع‬
)(25.623}
432
3
sin
32
2
2
4
{
2
800
2
222
1
22
1
luxtgE vm =
+++
−×= −−
‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬
‫عععععع‬
‫عععععععع‬
‫:ععععع‬
)(74795.06425.6232 lmAEm WW =×××=××=Φ ρ
‫عععععععع‬ ‫عععععع‬
‫:ععععع‬
)(19.99
64
7479
.
nit
A
L =
××
=
Φ
=
ππ
‫ععععع‬ ‫ععععععع‬ ‫ععع‬ ‫عععع‬ ‫ععع‬ ‫ععع‬ ‫ععع‬ ‫ععععع‬ ‫ععع‬ ‫عععععع‬
}sin{
2 222
1
22
1
WHD
H
HD
D
D
W
tg
L
Ev
+++
−= −−
)(3.59}
332
3
sin
32
2
2
3
{
2
19.99
2
222
1
22
1
1
luxtgE Wv =
+++
−×= −−
2118.6lux
‫ععععععع‬ ‫ععع‬
‫ععع‬ ‫ععع‬ ‫عع‬ ‫عععع‬
‫عععععع‬:‫ععع‬ ‫ععع‬ ‫عع‬ ‫عععععع‬ ‫ععع‬ ‫ععع‬ ‫عع‬ ‫عععع‬4‫ع‬ ‫ععععع‬
)(12.2336.11852.11422 2!
luxEEE WW VVih =+=+=
‫عععععع‬ ‫ععع‬ ‫ع‬ ‫عععععع‬ ‫ععع‬ ‫ععع‬ ‫عع‬ ‫ععع‬ ‫ععع‬ ‫عععع‬
)(6.134712.2334.1114 luxEEE ihh =+=+=
‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬
‫ع‬‫ع‬‫ع‬‫ع‬‫ع‬

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FASL4-3