Impedance to scattering parameter conversion

for the HP 15C

Z→S₁₁ - Impedance to scattering parameter conversion

Usage

[GSB][1]

Input

X : Z - The complex impedance [Ω]
R₀ : Z₀ - Characteristic impedance [Ω]

Resources used

R₀	: Z₀ - Characteristic impedance [Ω]
R_I	: |Γ| - The magnitude of the reflaction coefficient 
LBL 1	: entry point

Output

T : S₁₁ - the complex one port reflection coefficient
Z : VSWR - voltage standing wave ratio
Y : RL - return loss [dB]
X : S₁₁ - the complex one port reflection coefficient

Program list (Rev.1.02 Nov. 22, 2012)

Impedance → S₁₁ conversion

000-
001-42,21, 1
002-36
003-36
004-45,30, 0
005- 34
006-45,40, 0
007- 10
008- 43 7
009- 43 1
010- 36
011- 44 25
012- 1
013- 40
014- 1
015-45,30,25
016- 10
017- 45 25
018- 43 13
019- 2
020- 0
021- 20
022- 43 33
023- 43 32

 
LBL 1 
ENTER
ENTER
RCL- 0
x<>y
RCL+ 0
÷
DEG
→P
ENTER
STO I
1
+
1
RCL- I
÷
RCL I
LOG
2
0
×
R↑
RET

Example

Input Impedance plot on the smith chart

X : Z = 70 -j30
R₀ : Z₀ = 50
Key strokes
50 [STO]0 70 [ENTER] 30 [CHS] [f][I] [GSB][1]

Output

T : 0.2915 ∠-42.2737
Z : 1.8228
Y : -10.7075
X : 0.2915 ∠-42.2737
Key strokes Display Comment
[f][(i)] (hold) -42.2737 argument in degrees
 (release) 0.2915 magnitude