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Diagrama de Radiação
Dipolo eléctrico de Hertz
N := 32
fd
i, j
j := 0 .. N
( )
:= sin θ i
i := 0 .. N
XD
YD
i, j
i, j
ZD
i, j
φ j := 2⋅ π ⋅
:= fd
:= fd
:= fd
j
θ i := π
N
i
N + 0.001
( ( ) ( ))
+ 0.001 α i , j := acos sin φ j ⋅ sin θ i
( ) ( )
⋅ cos φ j ⋅ sin θ i
i, j
( ) ( )
⋅ sin φ j ⋅ sin θ i
i, j
( )
⋅ cos θ i
i, j
Plano XZ
Plano do campo eléctrico
1
0.5
ZDi , 0
ZD N
i,
0
2
0.5
1
1
0.5
( XD , YD , ZD)
0
0.5
XDi , 0 , XD N
i,
YD N
2
1
2
Plano XY
Plano YZ
Plano do campo magnético
Plano do campo eléctrico
1
1
0.5
0.5
ZDi , 0
,j
0
ZD N
i,
0.5
1
0
2
0.5
1
0.5
0
XD N
2
0.5
,j
1
1
1
0.5
0
0.5
YD N , YD 3N
i,
4
i,
4
1
Diagrama de Radiação
Dipolos
Dipolo com L=λ/4
Lλ := 0.25
XD
i, j
fd
i, j
(
( )) − cos(π ⋅ Lλ )
sin( θ i)
YD := fdn ⋅ sin( φ j) ⋅ sin( θ i)
i, j
i, j
cos π ⋅ Lλ ⋅ cos θ i
:=
( ) ( )
:= fdn ⋅ cos φ j ⋅ sin θ i
i, j
fd
fdn
i, j
ZD
i, j
:=
i, j
max( fd)
( )
:= fdn ⋅ cos θ i
i, j
1
Plano XZ
ZDi , 0
Plano do campo
eléctrico
ZD N
i,
0
2
1
1
0.5
0
0.5
1
XDi , 0 , XD N
( XD , YD , ZD)
Dipolo com L=λ/2
Lλ := 0.5
XD
i, j
fd
i, j
:=
(
( )) − cos(π ⋅ Lλ )
sin( θ i)
YD := fdn ⋅ sin( φ j) ⋅ sin( θ i)
i, j
i, j
cos π ⋅ Lλ ⋅ cos θ i
( ) ( )
:= fdn ⋅ cos φ j ⋅ sin θ i
i, j
i,
fdn
i, j
ZD
i, j
2
:=
fd
i, j
max( fd)
( )
:= fdn ⋅ cos θ i
i, j
1
Plano XZ
ZDi , 0
Plano do campo
eléctrico
ZD N
i,
0
2
1
1
0.5
0
0.5
1
XDi , 0 , XD N
( XD , YD , ZD)
Dipolo com L=λ
( )) − cos(π ⋅ Lλ )
(
Lλ := 1
fd :=
i, j
sin( θ i)
XD := fdn ⋅ cos( φ j) ⋅ sin( θ i)
YD := fdn ⋅ sin( φ j) ⋅ sin( θ i)
i, j
i, j
i, j
i, j
cos π ⋅ Lλ ⋅ cos θ i
i,
2
fdn
i, j
ZD
i, j
fd
:=
i, j
max( fd)
( )
:= fdn ⋅ cos θ i
i, j
1
Plano XZ
ZDi , 0
Plano do campo
eléctrico
ZD N
i,
0
2
1
1
0.5
0
0.5
XDi , 0 , XD N
( XD , YD , ZD)
i,
2
1
Diagrama de Radiação
Dipolos
Dipolo com L=5λ/4
Lλ := 1.25
XD
i, j
fd
i, j
:=
(
( ) ( )
:= fdn ⋅ cos φ j ⋅ sin θ i
i, j
( )) − cos(π ⋅ Lλ )
sin( θ i)
YD := fdn ⋅ sin( φ j) ⋅ sin( θ i)
i, j
i, j
cos π ⋅ Lλ ⋅ cos θ i
fd
fdn
i, j
ZD
i, j
:=
i, j
max( fd)
( )
:= fdn ⋅ cos θ i
i, j
1
Plano XZ
ZDi , 0
Plano do campo
eléctrico
ZD N
i,
0
2
1
1
0.5
0
0.5
1
XDi , 0 , XD N
( XD , YD , ZD)
i,
( )) − cos(π ⋅ Lλ )
(
Lλ := 1.5
fd :=
i, j
sin( θ i)
Dipolo com L=3λ/2
XD := fdn ⋅ cos( φ j) ⋅ sin( θ i)
YD := fdn ⋅ sin( φ j) ⋅ sin( θ i)
i, j
i, j
i, j
i, j
cos π ⋅ Lλ ⋅ cos θ i
fdn
i, j
ZD
i, j
2
:=
fd
i, j
max( fd)
( )
:= fdn ⋅ cos θ i
i, j
1
Plano XZ
ZDi , 0
Plano do campo
eléctrico
ZD N
i,
0
2
1
1
0.5
0
0.5
1
XDi , 0 , XD N
( XD , YD , ZD)
Dipolo com L=2λ
Lλ := 2
XD
i, j
fd
i, j
:=
( ) ( )
:= fdn ⋅ cos φ j ⋅ sin θ i
i, j
(
( )) − cos(π ⋅ Lλ )
sin( θ i)
YD := fdn ⋅ sin( φ j) ⋅ sin( θ i)
i, j
i, j
cos π ⋅ Lλ ⋅ cos θ i
i,
2
fdn
i, j
ZD
i, j
fd
:=
i, j
max( fd)
( )
:= fdn ⋅ cos θ i
i, j
1
Plano XZ
ZDi , 0
Plano do campo
eléctrico
ZD N
i,
0
2
1
1
0.5
0
0.5
XDi , 0 , XD N
( XD , YD , ZD)
i,
2
1