for the HP 32sII
uZW - Synthesize/Analyze microstrip transmission line

Japanese Japanese edition is here.

Usage

Synthesize : XEQ W
Analyze    : XEQ Z

Input

MEM E : relative permitivity
MEM H : dielectric height           [mm]
MEM T : conductor thickness         [mm]
REG x : line impedance              [Ω]  (Synthesize)
      | microstrip line width       [mm] (Analyze)

Resources used

MEM E : relative permitivity
MEM H : dielectric height           [mm]
MEM R : velocity of propagation
MEM T : conductor thickness         [mm]
MEM W : Microstrip line width       [Ω]
MEM Z : characteristic impedance    [Ω]

Output

MEM R : velocity of propagation
MEM W : Microstrip line width       [Ω]  (Synthesized)
MEM Z : characteristic impedance    [Ω]  (Analyzed)

REG t : rightangle bend compensation
REG z : open end compensation       [mm]
REG y : velocity of propagation
REG χ : microstrip line width       [mm] (Synthesized)
    | : characteristic impedance    [Ω]  (Analyzed)

Program list

μZW ‐ Rev. 1.76 : Jan. 24, 2012

LBL W     
STO Z 
8
RCL× H 
1
RCL+ E
SQRT
RCL× Z
72
÷
eχ
÷
STO W 
FN= X
SOLVE W
STO W
XEQ Y
RCL W
RTN

LBL X     
4
RCL× H
RCL H
11
10
÷
RCL× T
RCL+ W
π
×
÷
χ²
1
+
SQRT
RCL× T
÷
LN
1
+
RCL× T
π
÷
RCL E
1/χ
1
+
2
÷
×
LASTχ
π
χ²
4
R↑
RCL+ W


÷
RCL× H
ENTER
R↓
R↓
×
8
RCL÷ E
14
+
11
÷
R↑
×
ENTER
R↓
χ²
+
SQRT
R↑
+
×
1
+
LN
42.397056
1
RCL+ E
SQRT
÷
×
RCL- Z
RTN

LBL Y     
1
χ<> E
STO R
XEQ X
RCL+ Z
RCL÷ Z
1/χ
χ<> R
STO E

         
103
250
÷
RCL× H
3
10
÷
RCL+ E
×
0.262
RCL W
RCL÷ H
+
LASTχ
0.813
+
-0.258
RCL+ E
×
1/χ
×
×

         
-27
RCL× W
20
RCL× H
÷
eχ
65
×
52
+
100
÷
χ≤0?
CLχ
RCL R
RTN

LBL Z     
STO W
CLχ
STO Z
XEQ X
STO Z
XEQ Y
RCL Z
RTN

Formulas used

Characteristic impedance
Micro-strip-line impedance
where,
Effective width

Rightangle bend compensation
Effective width

Example (Synthesize)

Input
3.5    STO E
0.400  STO H     
0.018  STO T    
50     XEQ W 
Output
MEM R : 608.477373E-3
MEM W : 877.596205E-3 
MEM Z : 50.00000000E0

REG t : 157.769272E-3
REG z : 553.618791E-3
REG y : 608.477373E-3
REG χ : 877.596205E-3 

REFERENCES

  1. H. A. Wheeler, "Transmission-line properties of a strip on a dielectric sheet on a plane",
    IEEE Trans. Microwave Theory Tech., vol. MTT-25, pp.631-647, Aug. 1977.

  2. R. J. Douville and D. S. James, "Experimental study of symmetric microstrip bends and their compensation",
    IEEE Trans. Microwave Theory Tech., vol. MTT-26, pp. 175-182, Mar. 1978

SEE ALSO

Online calculator - Synthesize/Analyze microstrip transmission line
for the HP 42S - Synthesize/Analyze microstrip transmission line
for the HP 15C - Synthesize/Analyze microstrip transmission line
Ostrowski's method

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