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Octave-Wcalc: microstrip_calc
microstrip_calc - Symmetric microstrip transmission line analysis
SYNOPSIS
[z0, keff, elen, loss, L, R, C, G, lc, ld, deltal, depth] =
microstrip_calc(w, h, l, tmet, rho, rough, er, tand, f)
PARAMETERSINPUT PARAMETERS
- w
: width of microstrip line (meters)
- h
: substrate thickness (meters)
- l
: lentgh of microstrip line (meters)
- tmet
: metal thickness (meters)
- rho
: resistivity of the line (relative to copper)
- rough
: conductor surface roughness (meters-rms)
- er
: substrate relative permitivitty
- tand
: substrate loss tangent
- f
: analysis frequency (Hz)
OUTPUT VALUES
- z0
: calculated characteristic impedance (Ohms)
- keff
: calculated effective relative permitivity
- elen
: calculated electrical length of the line (degrees)
- loss
: calculated loss of the line (dB)
- L
: calculated inductance per length (Henries/meter)
- R
: calculated resistance per length (Ohms/meter)
- C
: calculated capacitance per length (Farads/meter)
- G
: calculated conductance per length (Siemens/meter)
- lc
: conductor loss (dB/meter)
- ld
: dielectric loss (dB/meter)
- deltal
: calculated open circuit end correction (meters)
- depth
: calculated skin depth (meters)
DESCRIPTION
Function to analyze the electrical characteristics of a single
microstrip transmission line. The physical
dimensions of the microstrip line are given as inputs and the
characteristic impedance, effective dielectric constant, loss and
open circuit end correction are calculated.
The model accounts for dispersion (frequency dependent propagation
velocity).
|<--W-->|
_______
| metal | <- rho,rough
----------------------------------------------
( dielectric /|\ (
) er,tand H | )
( \|/ (
----------------------------------------------
XXXXXXXXXXXXXXXXXX ground XXXXXXXXXXXXXXXXXXXX
EXAMPLE % mils to meters conversion factor
sf=25.4e-6;
% width
w=20*sf;
% height
h=15*sf;
% length
l=1100*sf;
% metal thickness
tmet=1.4*sf;
% resitivity
rho=1.72e-8;
% metal surface roughness
rough=0.05*sf;
% relative dielectric constant
er=4.5;
% loss tangent
tand=0.01;
% frequency
f=2.4e9;
[z0,keff,elen,loss,L,R,C,G,lc,ld,deltal,depth] = ...
microstrip_calc(w,h,l,tmet,rho,rough,er,tand,f);
disp(sprintf('z0 = %8.4g Ohms', z0));
disp(sprintf('keff = %8.4g ', keff));
disp(sprintf('elen = %8.4g degrees', elen));
disp(sprintf('loss = %8.4g dB', loss));
disp(sprintf('L = %8.4g H/m', L));
disp(sprintf('R = %8.4g Ohms/m', R));
disp(sprintf('C = %8.4g F/m', C));
disp(sprintf('G = %8.4g S/m', G));
disp(sprintf('lc = %8.4g dB/m', lc));
disp(sprintf('ld = %8.4g dB/m', ld));
disp(sprintf('open end correction = %8.4g mil', deltal/sf));
disp(sprintf('skin depth = %8.4g um', depth*1e6));
SEE ALSOair_coil_calc
air_coil_syn
coax_calc
coax_syn
coupled_microstrip_calc
coupled_microstrip_syn
ic_microstrip_calc
ic_microstrip_syn
microstrip_calc
microstrip_syn
stripline_calc
stripline_syn
AUTHOR
Dan McMahill
BUGS
None known
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