Resources used

LBL  A  : Synthesize
LBL  B  : Analyze
LBL  D  : Z →Zdiff
LBL .0 : Subroutine .0 
LBL .1 : Subroutine .1 
r i : 1 / √εreff ‐ velocity of propagation
r 0 : Z ‐ charactoristic impedance [&Omega]
r 1 : w ‐ microstrip line width [mm]
r 7 : εr ‐ relative permittivity
r 8 : h ‐ dielectric height [mm]
r 9 : t ‐ conductor thickness [mm]

uZW ‐ Rev.1.78 : Nov. 29, 2012 - Copyright(c) 1998-2012 Takayuki HOSODA, All rights reserved.
Synthesize		Analyze		Effective width		Characteristic impedance error ≤ 2% [1]		velocity of propagation		Differential impedance
000- 001-42,21,11 002- 44 0 003- 1 004- 0 005-45,20, 8 006- 48 007- 6 008-45,40, 7 009- 11 010-45,20, 0 011- 6 012- 9 013- 10 014- 12 015- 10 016- 36 017-45,30, 9 018-42,10,.0 019- 44 1 020- 32 .1 021- 45 1 022- 43 32	LBL A STO 0 10 RCL× 8 .6 RCL+ 7 √x RCL× 0 69 ÷ e↑x ÷ ENTER RCL- 9 SOLVE .0 STO 1 GSB .1 RCL 1 RTN	023-42,21,12 024- 32 .0 025-44,40, 0 026- 32 .1 027- 45 0 028- 43 32	LBL B GSB .0 STO+ 0 GSB .1 RCL 0 RTN	029-42,21,.0 030- 44 1 031- 4 032-45,20, 8 033- 45 8 034- 1 035- 48 036- 1 037-45,20, 9 038-45,40, 1 039- 43 26 040- 20 041- 10 042- 43 11 043- 1 044- 40 045- 11 046-45,20, 9 047- 10 048- 43 12 049- 1 050- 40 051-45,20, 9 052- 43 26 053- 10 054- 45 7 055- 36 056- 40 057- 15 058- 48 059- 5 060- 40 061- 20 062- 43 36 063- 43 26 064- 43 11 065- 4 066- 43 33 067-45,40, 1	LBL .0 STO 1 4 RCL× 8 RCL 8 1.1 RCL× 9 RCL+ 1 π × ÷ x² 1 + √x RCL× 9 ÷ LN 1 + RCL× 9 π ÷ RCL 7 ENTER + 1/x .5 + × LSTx π x² 4 R↑ RCL+ 1	068- 10 069-45,20, 8 070- 36 071- 33 072- 33 073- 20 074- 8 075-45,10, 7 076- 1 077- 4 078- 40 079- 1 080- 1 081- 10 082- 44 33 083- 20 084- 36 085- 33 086- 43 11 087- 40 088- 11 089- 43 33 090- 40 091- 20 092- 1 093- 40 094- 43 12 095- 4 096- 2 097- 48 098- 3 099- 9 100- 7 101- 0 102- 5 103- 6 104- 36 105- 1 106-45,40, 7 107- 11 108- 10 109- 20 110-45,30, 0 111- 43 32	÷ RCL× 8 ENTER R↓ R↓ × 8 RCL÷ 7 14 + 11 ÷ R↑ × ENTER R↓ x² + √x R↑ + × 1 + LN 42.397056 ENTER 1 RCL+ 7 √x ÷ × RCL- 0 RTN	112-42,21,.1 113- 1 114-42, 4, 7 115- 44 25 116- 45 1 117- 32 .0 118-45,40, 0 119-45,10, 0 120- 15 121-42, 4,25 122- 44 7 123- 45 25 124- 43 32	LBL .1 1 x<> 7 STO i RCL 1 GSB .0 RCL+ 0 RCL÷ 0 1/x x<> i STO 7 RCL i RTN	125-42,21,14 126- 36 127-45,10, 8 128- 48 129- 9 130- 6 131- 16 132- 20 133- 12 134- 48 135- 4 136- 8 137- 16 138- 20 139- 1 140- 40 141-45,20, 0 142- 36 143- 40 144- 43 32	LBL D ENTER RCL÷ 8 .96 CHS × e↑x .48 CHS × 1 + RCL× 0 ENTER + RTN

Formulas used

Microstrip charactoristic impedance [1]

where,

Initial guess of the microstrip line width

Example

Synthesize

Input

R7 = 4.5 εr R8 = 0.2 height [mm] R9 = 0.018 thickness [mm] x = 50 Z [Ω]

Output

R 1: 0.3583608 width [mm] R i: 0.553140 1/√εeff y : 0.5531403 1/√εeff x : 0.3583608 width [mm]

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
   
3. James A. Mears, "Transmission Line RAPIDESIGNER Operation and Applications Guide",
   National Semiconductor Application Note, AN-905, May.1996

SEE ALSO

for the HP 42S - Synthesize/Analyze microstrip transmission line
for the HP 32sII - Synthesize/Analyze microstrip transmission line
Online calculator - Synthesize/Analyze microstrip transmission line
Ostrowski's method