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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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