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epsilon0 = 8.854*10^-12;
epsilonr = 8.854*10^-12;
c = 3*10^8;
g = 10^-6;
e0 = 1.6*10^-19;
t = 40;
ec = 3;
h = 6.625*10^-34;
vf = 10^6;
ef = 0.05*e0;
ta = 4.5*10^-13;
f = 0.1 : 0.01 : 2.5;
k0 = 2*pi*f;
w = 2*pi*f;
kf = ef/h/vf;
omiga = h*w/ef + i*h*ta^-1/ef;
sigmar = e0^2/h*t*kf/(24*pi)*omiga*unitstep (omiga - 2);
sigmai = e0^2/h*t*kf/(24*pi*pi)*[
   4/omiga - omiga*log[e, abs[4*ec^2/omiga^2 - 4]]];
sigma = sigamr + i*sigmai;
equ = -epsilonr/epsilon0*
  sqrt[k1^2 - k0^2]/sqrt[k1^2 - epsilonr/epsilon0*k0^2]
-[1 + i*sigma*sqrt[k1^2 - k0^2]/(w*epsilon0)]*
  tanh[g*sqrt[k1^2 - epsilonr/epsilon0*k0^2]];
plot[equ, {k1, 2*pi*10^3 + i*2*pi*10^4, 4.2*pi*10^4 + 2*10^4}]
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