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VNA Basics Germán Andrés Álvarez Botero
Laboratório de Radiofrequência
S-parameters
Incident Wave (A)
Reflected Wave (B)
Transmitted Wave (T)
S-Parameters
Scattering, in physics, a change in the direction of motion of a particle because of a collision with another particle.
"scattering". Encyclopædia Britannica. Encyclopædia Britannica Online. Encyclopædia Britannica Inc., 2015. Web. 16 Sep. 2015 <http://global.britannica.com/science/scattering>.
S-Parameters
Incident wave
Backward scattering
S-Parameters
Incident wave
Backward scattering
Incident wave
Forward scattering
VNA Basics
Incident wave (a1)
Backward scattered (b1)
Device Under Test (DUT) Reflection coefficient
VNA Basics
Directional coupler
Device Under Test (DUT)
1 2
3 4
VNA Basics
Directional coupler
Device Under Test (DUT) D2
K1
D2: Directivity K1: Coupling
VNA Basics
Directional coupler
Device Under Test (DUT) D2
K1
Directional coupler
Device Under Test (DUT) D1
K2 D1, D2 : Directivities K1, K2: Coupling
VNA Basics
Directional coupler
Device Under Test (DUT)
EinK1
D2 D1
ErK2
Em2 Em1
D1, D2 : Directivities K1, K2: Coupling Ein: Input Signal Er: Reflected Signal Em: Measured Signal (Including error)
VNA Basics
Device Under Test (DUT)
D2
ErK2
Em2 EinK1
D1
Em1
VNA Basics
R
P2
P1
VNA Basics
R
P2
P1 D1, D2 : Directivities K1, K2: Coupling
D1, D2 : Directivities K1, K2: Coupling
Switching error
VNA Basics
Incident wave (a1)
Backward scattered wave (b1)
Forward scattered wave (b2)
VNA Basics
Incident wave (a1)
Backward scattered wave (b1)
Forward scattered wave (b2)
Forward scattered wave (b1)
Incident wave (a2)
Backward scattered wave (b2)
VNA Basics
Incident wave (a1)
Backward scattered wave (b1)
Incident wave (a2)
Backward scattered wave (b2)
VNA Basics
Incident wave (a1)
Backward scattered wave (b1)
Incident wave (a2)
Backward scattered wave (b2)
VNA Basics
Incident wave (a1)
Backward scattered wave (b1)
Backward scattered wave (b2)
VNA Basics
Incident wave (a1)
Backward scattered wave (b1)
Backward scattered wave (b2)
VNA Basics
Incident wave (a1)
Backward scattered wave (b1)
Backward scattered wave (b2)
(a2)
VNA Basics
Incident wave (a1)
Backward scattered wave (b1)
Backward scattered wave (b2)
(a2)
VNA Basics
a1
b1
a2
b2
+ +
- -
VNA Basics
a1
b1
a2
b2
+ +
- -
VNA Basics
a1
b1
a2
b2
+ +
- -
VNA Basics
a1
b1
a2
b2
+ +
- -
VNA Basics
a1
b1
a2
b2
+ +
- -
VNA Basics
a1
b1
a2
b2
+ +
- -
VNA Basics
a1
b1
a2
b2
+ +
- -
VNA Basics
a1
b1
a2
b2
+ +
- -
VNA Basics
a1
b1
a2
b2
+ +
- -
VNA Basics
a1
b1
a2
b2
+ +
- - Switching Directivities Coupling
Switching Directivities
Coupling
VNA Basics
a1
b1
a2
b2
+ +
- - Switching Directivities Coupling
Switching Directivities
Coupling
Source/Load Match
Load/Source Match
Isolation Reflection/Transmission tracking
Transmission/Reflection tracking
VNA Basics
a1
b1
a2
b2
+ +
- - Switching Directivities Coupling
Switching Directivities
Coupling
Source/Load Match
Load/Source Match
Isolation Reflection/Transmission tracking
Transmission/Reflection tracking
VNA Basics
a1
b1
a2
b2
+ +
- -
Open Short Load Thru
VNA Basics
a1
b1
+
-
Calibration Std.
VNA Basics
a1
b1
+
-
Calibration Std.
VNA model for Open, Short, Match
Calibration procedure use a polinomial fitting to obtain the constitutive parameters
VNA Basics
a1
b1
+
-
Calibration Std. Open
VNA Basics
a1
b1
+
-
Calibration Std. Short
VNA Basics
a1
b1
+
-
Calibration Std. Match
VNA Basics
a1
b1
+
-
Calibration Std.
VNA Basics
a1
b1
+
-
Calibration Std.
VNA Basics
a1
b1
+
-
Calibration Std.
VNA Basics
a1
b1
+
-
Calibration Std.
Obrigado Galera!!!
¡¡¡ Gracias a todos!!!
Germán Andrés Álvarez Botero galvarezbotero@gmail.com
% Código Mathematica ParametricPlot3D[{(1 + Cos[v]) Cos[u] + 0.085 Cos[5 u] + (0.994 v/p)^100, (1 + Cos[v]) Sin[u]6 Sin[v] + 2 Cos[v] - 0.7 Log[1 - v/p]}, {u, -p, Pi}, {v, -p, Pi}, Mesh -> True, BoxRatios -> 1, PlotStyle -> {Green, Specularity[Yellow, 10]}]
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