Hhow to enhance smoothness of graph?
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function metal1
T2=1e-9:1e-10:1e-6;
for j=1:numel(T2)
t2 = T2(j);
p0 = 0.5;
p1 = 1;
p2 = 1.5;
TOL = 10^-8;
N0 = 100; format long
h1 = p1 - p0;
h2 = p2 - p1;
DELTA1 = (f(p1,t2) - f(p0,t2))/h1;
DELTA2 = (f(p2,t2) - f(p1,t2))/h2;
d = (DELTA2 - DELTA1)/(h2 + h1);
i=3;
while i <= N0
b = DELTA2 + h2*d;
D = (b^2 - 4*f(p2,t2)*d)^(1/2);
if abs(b-D) < abs(b+D)
E = b + D;
else
E = b - D;
end
h = -2*f(p2,t2)/E;
p = p2 + h;
if abs(h) < TOL
%disp(p)
break
end
p0 = p1;
p1 = p2;
p2 = p;
h1 = p1 - p0;
h2 = p2 - p1;
DELTA1 = (f(p1,t2) - f(p0,t2))/h1;
DELTA2 = (f(p2,t2) - f(p1,t2))/h2;
d = (DELTA2 - DELTA1)/(h2 + h1);
i=i+1;
end
if i > N0
formatSpec = string('The method failed after N0 iterations,N0= %d ');
fprintf(formatSpec,N0);
end
P(j)=abs(imag(p)*8.57e5);
% P(j)=real((p));
end
plot(T2,P)
end
%--------------------------------------------------------------------------------
function y=f(x,t2)
%t2=1e-9;
k0=(2*pi/0.6328)*1e6;
n1=1.521;
%n2=2.66;
n2=4.1-1i*0.211;
ns=1.512;
%n2=1.2-1i*7;
nc=1;
k1=k0*sqrt(n1.^2-x.^2);
k2=k0*sqrt(n2.^2-x.^2);
t1=2e-6;
m11= cos(t1*k1)*cos(t2*k2)-(k2/k1)*sin(t1*k1)*sin(t2*k2);
m12=(1/k2)*(cos(t1*k1)*sin(t2*k2)*1i) +(1/k1)*(cos(t2*k2)*sin(t1*k1)*1i);
m21= (k1)*cos(t2*k2)*sin(t1*k1)*1i +(k2)*cos(t1*k1)*sin(t2*k2)*1i;
m22=cos(t1*k1)*cos(t2*k2)-(k1/k2)*sin(t1*k1)*sin(t2*k2);
%gs=(x.^2-ns.^2)*k0.^2;
%gc= (x.^2-nc.^2)*k0.^2;
gs=k0*sqrt(x.^2-ns.^2);
gc=k0*sqrt(x.^2-nc.^2);
y= 1i*(gs*m11+gc*m22)-m21+gc*gs*m12 ;
end
This is the running program but we are not getting the fine graph just like that in the attach file.
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