1. PROPAGACION DE ONDA
EN MEDIO DIELECTRICO PURO
ENTRADAS
FRECUENCIA 6
f := 14.6⋅ 10 Hz
CONDUCTIVIDAD σ := 0 S/m CONSTANTES
PERMITIVIDAD ε := 4 F/m
PERMEABILIDAD µ := 5 H/m π := 3.141519265 rad
8
AMPLITUD DEL CAMPO E Ε := 15V/m c := 3⋅ 10 m/s
FASE DEL CAMPO E Φ := −18 grados j := −1
LONGITUD MOSTRADA l := 2 λ
ADECUAMIENTO
−3
Conversión a radianes φ := Φ ⋅ deg φ = −314.159 × 10 rad
6 rad
Frecuencia Angular ω := 2 ⋅ π ⋅ f ω = 91.732 × 10
s
SALIDAS
1 −9
Periodo T := T = 68.493 × 10 s
f
Constante de atenuación α := 0
ω −1
Constante de fase β := ε ⋅ µ⋅ β = 1.367 m k := β
c
ω 6m
Velocidad de fase υ := υ = 67.082 × 10
k s
Impedancia del medio
µ
η := 120 ⋅ π ⋅ η = 421.479 Ω
ε
superficie de penetracion δ := ∞
Longitud de onda λ := υ ⋅ T λ = 4.595 m
Ε −3 A
AMPLITUD DE Η := Η = 35.589 × 10
CAMPO MAGNETICO η m
COMPROBACION σ
=0
MEDIO DIELECTRICO ω⋅ ε
PURO

2. GRAFICAS
Cuando t=0
E( z) := Ε ⋅ cos( −β ⋅ z + φ ) Desde z: 0 a 3.24 z := 0.0 , 0.1 .. 9.3
Ε ⋅ cos( −β ⋅ z + φ )
H( z) :=
η
z = E( z ) = H( z) =
0 14.266 0.034
20
0.1 13.501 0.032
.
0.2 12.484 0.03
0.3 11.233 0.027
E( z) 0
0.4 9.774 0.023
0.5 8.131 0.019
0.6 6.337 0.015
0.7 4.424 0.01 20
0 2 4 6 8 10
0.8 2.429 5.764—10 -3 z
0.9 0.389 9.223—10 -4
1 -1.659 -3.936—10 -3 0.05
1.1 -3.676 -8.721—10 -3
1.2 -5.624 -0.013
1.3 -7.467 -0.018
H( z) 0
1.4 -9.171 -0.022
1.5 -10.703 -0.025
1.6 -12.036 -0.029
1.7 -13.144 -0.031 0.05
0 2 4 6 8 10
1.8 -14.007 -0.033
z
1.9 -14.608 -0.035
2 -14.936 -0.035 Campo Electrico evaluado en Z := 1.3λ
2.1 -14.985 -0.036
2.2 -14.755 -0.035 − α ⋅ Z ( − β ⋅ Z+ α + φ ) ⋅ j
Es := Ε ⋅ e ⋅e
2.3 -14.249 -0.034
2.4 -13.477 -0.032 Es = −8.814 − 12.137j
2.5 -12.454 -0.03
2.6 -11.198 -0.027 Campo Magnetico evaluado en Z
2.7 -9.733 -0.023
2.8 -8.086 -0.019
α ⋅ Z ( − β ⋅ Z+α + φ ) j
2.9 -6.288 -0.015 Ε ⋅e ⋅e
Hs :=
3 -4.373 -0.01 η
3.1 -2.376 -5.638—10 -3 −3 −3
Hs = −20.913 × 10 − 28.796j × 10
3.2 -0.335 -7.95—10 -4

3. CAMPO ELECTRICO CAMPO MAGNETICO
2 2
2 2 AmplitudH := Re( Hs) + Im( Hs)
AmplitudE := Re( Es) + Im( Es)
−3
V AmplitudH = 35.589 × 10
AmplitudE = 15
m
AnguloH := arg( Hs)
AnguloE := arg( Es)
AnguloH = −2.199
AnguloE = −2.199 rad
POTENCIA
W
2
AmplitudE −3 2 Densidad de potencia
ρ := ρ = 266.917 × 10 m
2⋅ η promedio
ρ ( Area) := ρ ⋅ Area
Potencia en area de 0.9m^2
−3 W
ρ ( 0.9) = 240.225 × 10