📄 mstrips.m
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% mstrips.m - microstrip synthesis (calculates w/h from Z)
%
% Usage: u = mstrips(er,Z)
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% er = relative permittivity of substrate
% Z = desired characteristic impedance
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% u = width-to-height ratio = w/h
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% notes: can calculate a vector of u's from a vector of Z's
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% accuracy is better than 1%
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% see also mstripa for microstrip analysis
% S. J. Orfanidis - 2000 - www.ece.rutgers.edu/~orfanidi/ewa
function u = mstrips(er,Z)
if nargin==0, help mstrips; return; end
eta = etac(1);
A = pi*sqrt(2*(er+1)) * Z/eta + (er-1)/(er+1) * (0.23 + 0.11/er);
B = pi*eta./(2*Z*sqrt(er));
u1 = 4./(exp(A)/2 - exp(-A));
u2 = (er-1)/(pi*er) * (log(B-1) + 0.39 - 0.61/er) + 2/pi * (B - 1 - log(2*B-1));
u = u1.*(u1<=2) + u2.*(u2>2);
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